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BY RALSTON J. SKINNER ⇐ ПредыдущаяСтр 3 из 3 THE KEY TO THE Hebrew-Egyptian Mystery IN THE SOURCE OF MEASURES ORIGINATING THE BRITISH INCH AND THE ANCIENT CUBIT
BY WHICH WAS BUILT THE GREAT PYRAMID OF EGYPT AND THE TEMPLE OF SOLOMON; AND THROUG THE POSSESSION AND USE OF WHICH, MAN, ASSUMING TO REALIZE THE CREATIVE LAW OF THE DEITY, SET IT FORTH IN A MYSTERY, AMONG THE HEBREWS CALLED KABBALA
BY RALSTON J. SKINNER
Philadelphia: David Mckay Compaiw Washington Square 6
" OPEN THOU MINE EYES, THAT I MAY BEHOLD WONDROUS THINGS
OUT OF THY LAW !
"my son, if THINE HEART BE WISE, MY HEART SHALL REJOICE,
EVEN MINE :
" YEA, MY REINS SHALL REJOICE, WHEN THY LIPS SPEAK RIGHT
THINGS."
"behold! THE DAY OF THE LORD COMETH, AND IT SHALL COME TO PASS IN THAT DAY,
" THAT THE LIGHT SHALL NOT BE CLEAR, NOR DARK, BUT IT
SHALL BE ONE DAY,
"and THE LORD SHALL BE KING OVER ALL THE EAJtTH : IN THAT
DAY THERE SHALL BE
ONE J E H O VA H ,
AND HIS NAME SHALL BE
TABLE OF CONTENTS.
Introduction.
Contents an essay or study rather than, strictly speaking, a work. The whole a series of developments based upon the use of geometrical ele- ments, giving expression in numerical values, founded on integral values of the circle, rediscovered by the late John A. Parker, and by Peter Metius in the i6th century. Brief statement of these developments ; the greatest being that the system from whence their derivation was anciently consid- ered to be one resting in nature, or God, as the bast's, or law, of the ex- ertion, practically, of creative design : as such to be found as underlaying the Biblical structure. This introduction contains the Hebrew alphabet, with the values and powers of the letters, and some of their supposed symbols, with some remarks on the hieroglyphic use of the letters. (The proof of the uses of these values by the ancients is all that is claimed as being of use connected with the quadrature idea, so that the usual ofFen- siveness connected with any stated idea of quadrating the circle is not in- volved.)
Quadrature of the Circle hy yohn A. Parker.
It would be amply sufficient for the purposes of this work to give the numerical results (notating geometrical conditions) of Mr. Parker's quad- rature; but it is thought that the uses shown to have been anciently made will naturally lead to a desire to examine into the very means whereby these numerical data are obtainable. To satisfy such a desire the leading outlines of Mr. Parker's work on the quadrature, and of Yn^ problem of three revolving bodies, with his uses of his results, are given, even pretty fully, by permission. His extremely interesting work is to be had in the city of New York, of John Wiley & Son.
\ I. Kabbala a species of symbolic writing. Relation of diameter to
circumference of a circle a supreme one as connected with the god-names
Elohiin and Jehovah. Two expressions of circumference to diameter, in
(iii)
IV TABLE OF CONTENTS.
integrals, used in the Bible; that of Mr. Parker, the ferfect one, and that of Peter Metius (i6th century), the imperfect one. One relation be- tween the two expressions to be found in §82 (J).'). (§2. Notice oi the quadrature by Peter Metius, about a. d. 15S5.) Outline of 12 propositions from Mr. Parker's Quadrature, resulting in the key numbers, and values, on which this entire work depends. (See Prop. XII, p. 20.) ^ 3. Quad- rature by Peter Metius, with statement of curious relations between the Parker and Metius forms.
Reflections on the Quadrature by Mr. Parker,
? 4. ^uadratare by Mr. Parker of great value, but set forth not on ac- count of intrinsic exactitude, but because : (i.) It affords the measures for \i\n\6\n^\ht. great pyra7nid ; (2.) The sacred cudit was derived from it; (3) ^^ gives the kabbalistic value for understanding the god-names in the Bible, and for understanding the esoteric teachings in the mysteries ; (5.) It appears at the foundation of the British measures. Its great value is, then, that it is a literary key to the comprehension of ancient learning ; and, in this aspect, its mathematical or geometrical value is, however im- perfect, one that is of secondary consideration in this work. With this statement it is to be noted, §5, that Mr. Parker's quadrature values are obtained by area computations; §6, that there af'e curious features observ- able in the details of the Playfair method ; §8, that mathematics is famil- iar with definitions which are untrue; and, §9, that nature seems to afford confirmatory evidence that Mr. Parker is right.
Problem of Three Revolving Bodies by Mr. Parker.
?ii. This grows out of his quadrature, as a practical use of his re- sults, for astronomical purposes, his postulate being, " The proposition is therefore demonstrated that three gravitating bodies of equal magnitude, revolving together, their relative motion shall be as four to three, or one and one-third of one primary circumference." 2 12, § 13. Illustration of use of this problem to obtain astronomical time, showing that nature rec- ognizes the use of the Parker numerical forms. § 14. Table of astronomi- cal time periods worked out by Mr. Parker. § 15. The setting forth of the problems and claims of Mr. Parker is not in any way as affirming the establishment of the ''Quadrature," or of the '■'Problem of three re- volving bodies;" but as necessary, because, without the use of his con- clusions, it -viiW forever prove impossible to reconstruct the pyramid agree- ably with the intent of its architect.
TABLE OF CONTENTS.
The Possibility on Mr. Parker's Forms of Raising a Co- ordinating Unit of Measure.
\ i6. This enunciation explained, and a numerical result given to a geo- metrical change of shape. § 17. This result proves to be a recognized measure — viz., the ancient cubit, in terms of the British foot and inch measure. Table of practical restorations of. ancient cubit value from dif- ferent sources; the best being those of Sir Isaac Newton, from the g-reat pyramid, and from the catacombs of Osimandya bj the French expedi- tion of '99, the measures of which catacombs were (§ iS) discovered on a Turin papyrus by Professor Gustav Sejffarth. § 19. Original value, whence this cubit, shown to have been utilized as in British inches, creat- ing the impression that the British long measures were of that ancient ex- istence.
The Ansated Cross of the Egyptians., and the Christian /^ Cross., the Embletnatic Display of the Origin of Meas- ures.
? 20. Circular measure taken off on to the edges of a cube. Cube un- folded is in display a cross of the tau form, or Egyptian form, or of the Christian cross form. Circle attached to the first, gives the ansated cross of the Egyptians. Numbers 3 and 4 counted on the cross, showing a form of the golden candlestick, and of the 3-1-4 = 7, and 6+1^7, days in the circle of the xveek, as 7 lights of the sun. (So, also, as the week of 7 lights gives origin to the month and jca/-, so it is the time marker of birth, p. 202.) §21. The cross form being shown, then by the connected use of the form 113 : 355, the symbol is completed by the attachment of a man to the cross. This kind of measure was made to co-ordinate with the idea of the origin of human life (? 20), and hence iht phallic form. See § 23, and comment by Professor Seyffarth ; also, the symbols there displayed. §22. The vnsin's head symbol, of the sphere, or circle.
Primordial Vestiges of these Symbols.
§24. The Easter Isles. Crucified man in South America. Hebrew in- scriptions in the American moufids. Curious data regarding the mounds as alike Typhonic emblems with the pyramid of Egypt, and with Hebrew symbols. Mounds showing British measures. Aztec, or " mound-
VI TABLE OF CONTENTS.
builder" pyramid showing the use of the value 318, or diameter to a cir- cumference of one^ as a civil calendar number. Old bronze axes of the Phenicians identical in shape with the copper ones of the mound-builders.
British System of Long" and Land Afeasure^j^.Jjiclusive of an Occult System of Time JlLeasfires. §? 25, 26, 27, and 28, introductory to this inquiry. JVofe to § 33. jfe- hovah is Noah, in the Hebrew, by literal transfer into British is the word I-nch (see also noie, page 160.) : Also, «<?/epage 65, as to Jared, the father of Enoch, being the Mount of Descent. Jared literally is YRD, or the British word yard, a measure; and as source of descent is the British word yard, used in the sense of membrum virile. (Let it be noted that the British part of the language is, one may say, almost purely Hebrew, as is fully within the experience of students.) Hebrew language noted for its stem-building. The words fared, Ararat, Arets, earth, arour, cursing? cognate forms under the idea oi from a source, as birth, or origin. Sec also, in this connection, Introduction to Appendices (c), as to an exten- sion of the same cognate form in Mars, as Generator o\- ihc germinating principle. §34. God-names Eiohim and Jehovah numerical indices of geometrical relations. God-name Eiohim, in its radicals, expressive, also, of the differential yzXn^^ 31 and 36. A use shown of these differ- entials. \ 35. A table showing a linking together of values of apparently incongruous subjects matter. (2.) Lunar year of ancients 355 — i = 354 days. Time scale of measures, year values, of 355, 360, 365, and 354, 359, and 364 days. (3.) Relation of 6561 : 20612 to 113 : 355.00014-; and 113 : 355-OOOI-I- to 36 : 113.0973-t-, where, by a slight change 113 becomes a circumference to a diameter of 6 X 6 = 36.
Introduction to Construction of Great Pyramid.
§ 38. Measures by Professor Piazzi Smyth, taken on the British stand- ard at Edinburgh, He found the measures of Colonel Howard Vyse, of the Tx^r^ch savants, and of Professor Greaves, of Oxford, reliable. \ 39. (<f.) Measures of passage-ways, and chambers, showing variations on a mean of measure.
Standard Measures of the Pyramid.
?40. One object of construction may be taken as astronomical, because north base side co\nc\dQS w\i\\ parallel of 30° N. latitude, {b.) Another may be taken as geometrical. Measures of the mass by Professor Smyth. §41. Standard measures shown in use of Parker forms. Compari-
TABLE OF CONTENTS. vii
son with measures by Professor Sm_yth. Remarks. §42. Standard measures of the king's chamber. §?43, 44, 45. Actual measures as enlargements on the standard, with a reason for the variation, (i 46. System of enlarge- ment applied to ascertain the measures of the king^s chamber. [See Ad- denda, («.)] Enlargement on the standard founded on a law. (1 47. Enunciation of this law. Note: Base side of pyramid diameter to a cir- cumference of 2400. 24 is 6 X 4- Base of pyramid would then represent co-ordinately a square of 24 to the side, divided into 4 parts of 6 each. This is the Garden of Eden iorm\ also that of the Hebrew Zodiac (also that of the encampment of the Israelites). §48. Discovery of this law de- rived from "Historical View of the Hindu Astronomy," by Mr. John Bentley. Analysis of the Hindu system, and its object shown ; for calcu- lations of sines, co-sincs, tangents, co-tangents, and orbits of planets. Same object made apparent in the measures of the king's chamber. §49. Note a connection between the Parker and Metius forms, with relation to the factor value 6. I 50. Table of standard measures of restoration of the great pyratnid, made thus far. §51. Measures enlarged on the standard. I 52. Measures as actually made or computed in terms of the British inch and foot. ? 53. Table on these enlarged values, where, in every case, 31S is the quotient of the diameter divided by the circumfer- ence. 318 Agnostic value of Christ, and of the trained servants of Abra- ham (also of the word Eliezer of Damascus, Abraham's steward). Hindu time periods founded on factor 6. §54. System of factoring to obtain the standard measures from the Parker circumference of 20612.
Effect of Putting the Pyramid in a Sphere.
§55. To develop the number 216330. This number found as an ellipti- cal difference. True pyramid springing from a pyramid in the original Parker numbers placed in a sphere. \ 56. Solar year value obtained fiom i base side of pyramid, and the sine oi -rp degrees. §57. Equatorial and polar diameters of the earth obtained. Note (page 104) : Length of pas- sage from edge of great step, through antechamber, to king's chamber, taken from the miles equatorial value of the earth. See, as to this, note, page 139. §60. Square root of the solar year displayed in the king's chamber. §62. Hebrew Biblical scheme in some measure bearing on this. 'idZ- The base of the pyramid includes the thickness of the pave- ment. §^64 and 70. Location and length of descending passage-way, with respect to the inclined outside, to the base, and to the vertical axial line of the structure. §71. Descending passage-way set off to the east- ward of the vertical axial line of the pyramid, 24.4219-!- feet. ? 72. Di- mensions of the descending passage-way. § 73. Location of intersection
Vlll TABLE OF CONTENTS.
of floor line of ascending passage-way, witli the roof line of descending passage-way. Floor line of ascending passage-way, with relation to the base of the pyramid, to the levels of the queen's and king's chamber, and to the vertical axial line of the mass. ? 74. Abstract geometrical elements laying at the base of the tnlerior construct iott of the pyramid. \ 75. Length of king's chamber level. § 76. Elements of dimensions of queen's chamber. § 77. Height from floor of subterranean passage-way to the gable roof of Campbell's chamber. ^79. Height of level of passage to queen's chamber above the center of the sphere, in which the whole pyr- amid is supposed to have been placed. § 80. A method of placing a sa- lient height line for the interior construction of the pj^ramid. § 81. Close of effort at reconstruction of the pyramid, with remarks. John A. Par- ker's method of quadrature and his problem of three revolving bodies thought to be the base oj the Pythagorean and Egyptian systems of geom- etry and astronomy. § 82. Pyramid symbolization ; having a Hebraic and Biblical application to set forth a primal one under a Jehovah and Noah form. Jah is Noah, or Jehovah is Noah., in Hebrew would be I^J*, or literally, in English, Inch.
TJie Temple of Solomon.
\ 84. Introductory remarks. Details of description. Remarks on the word cherubim. Comparison of the measures of the temple with those of the pyramid. Kabbalistic elucidations with regard to astronomical fea- tures of the temple.
Introduction to Appendices.
§85. (a.) The opening sentence in Genesis. (3.) Its parallel numeri- cal reading. Elohim a circumference value of 3.1415 to a diameter of 1. (c.) Arets, earth, Adam, man, and H-Adam-h, earth, are cognate with each other, have a like signification, and are pers07iijicd under one form, as the Egj'ptian and Hebrew Mars, (d.) Enigmatical constructions ap- pearing in the first face-readings of the Bible narratives. Illustrations and examples given.
Appendix I.
\ 86. The Garden of Eden an Adam, or 144 form. §87. The produc- tion of the woman from the side of the man, or the number value 5315 from 113. The rib a determinative ot the method, (c.) (i.) The woman form of the garden the source of the Holy of Holies, by type, and of the four typical rivers. (2.) Object of the glyph to display the Parker and Melius number forms of 20612 : 6561 and 355 : 113. {<f.) Other deter-
TABLE OF CONTENTS. IX
minatives. § 88. The Garden of Eden as the 7th day. (The Hebrew words : sacr, as membrum virile^ the base of the Latin sacr with facto., and also of the English 5a'cr-ifice and 5acr-ament; and sanctified., or the Hebrew Kodesk, as showing a sexual or productive use.) Garden of Eden display in the Eleusinian mysteries by women, in the use of the basket and serpent. Curious learning as to this. Note: Mystery of the cross but deepens, as one gathers knowledge as to it.
Appendix II.
§ 89. Time calculations founded on Abram, Mclchizedec, Hebron., or Kirjath-Arba, Joshua the son of Nun, and Caleb the son of Jephtinneh, as connected with the narratives relating to these personages. (Abram is Abra with an appended m final, and Abra read backward is Arba, the city in which Abram lived.) § 90. Abraham and Isaac to be taken together as a year circle value of 355, which is the Hebrew word shanah, or year. Curious learning. Time year values as 355, 360, 365.
Appendix III.
§91. The word Logos, or Word, connecting with John, or Jonah, or Dove, with Jehovah, and with Jes-\x?,, through the fish. John the same with Jonah. The word beginning. John and Jonah as Dove. The fish as connected with Dove, or John, or Jonah, to make Jehovah, {f.) The Te Deum and the birth of the Savior, (g.) The Dove used in cal- culations of the year. (^.) New Testament use. Note, as to the river Jordan and its fisheries.
Appendix IV.
A method of construction of the Julian Calendar from the different year values of the ancients. \ 92. Garden of Eden one of the birth of time, and of man. Year values, 355, 360, 365 ; from these another scale of 354, 359, and 364, of which the last value, 364, arises from the -woman number 'J, and connects this as a woman number with 355, which is an ab- stract circumference to a diameter of 113, or man value. Page 229: Pic- tured use variously displayed; Hindu display clearly marking the Hebrew use; it is that of the woman hermaphrodite Indranee-Indra, the nature goddess, the Issa of the Hebrews, and the Isis of the Egyptians. Page 2y:): '■'■Remission of sins," having reference to a '■'■ neiv birth unto right- eousness," explainable under the type of shedding of blood in concep- tion. Page 232 : Julian Calc7idar Division. § 92. (5.) The possible heel meaning of the 217 days. Name of Jacob the same as Jah is heel.
X TABLE OF CONTENTS.
Page 333 : Possible determinative sentences in 4th Genesis. Seth same as year. His son Enos.h same as 365 — 1 =364, showing two jear values. The above use somewhat strengthened by the zodiacal sign of the fishes. Page 235 : The word Pdradise as having a bearing on this subject. (It is the same as would be the use of the English expression Divide-O, in- tended to mean the division of a circle, the Hebrew letter samech for O, indicating, beyond the circle, its value of 360°.) Page 236: The Heel value appearing, as connected with the measures of the queen's chamber in the pj-ramid. Page 237 : Curious learning as to the meaning of the ritualistic fact of circumcision. Relation of the J>repttce to the sacr, as of the female pudenda to the membrum virile ; hence the type of a spiritual marriage by consummation.
Appendix V.
The Flood and the Ark of Noah, ivith their Strange Kabbalistic Biblical
Relations.
§93. Prefatory remarks. Substance of the Old Testament lays in the books of the Lavj. All the rest but expansion, explanation, targums, en- forcements, etc. Laiv divided into the framing of the ritual and the enunciation of the moral precepts ; more space taken up by the former than the latter. Building of the pyramid occupies the first chapters of Genesis. The Biblical containment of the pyramid structure. Page 240: The use of the names Shem, Ham, and Japhet, as determinative of pyra- mid measures, in connection with the 600-year period of Noah and the 500-year period of Shem, Ham, and Japhet. Page 241 : Method of calen- dar correction contained in the flood narrative. Page 242 : Correction of the 600-year period. The going into the ark an expression of the blotting out of days as a method of calendar correction. Page 243 : The terms " sons of Elohim " and " daughters of H-Adam " for one thing astronom- ical terms. Page 243 : The 1.50 days of the flood the correction of the 600-year period, and the determinative of this use. The fixing a limit for the closing and opening of the year at the winter solstice point, by the figure of the subsidence of the flood and the grounding of the ark. Page 245: The word for flood, m'bul; root-word bul, or name of the rainy month. Page 246: 8th November same as 13th Julian style, by use of the epagomenai days, making the first 40 days of the flood end on the 22d day of December. Page 24S : Curious learning as to the balance of 110 days to make up the 150 days. Other number rests or stops in the flood narra- tive, involving the numbers 113 and 355. Page 249: The number values of the birds, viz., 113 X 6, and 355. Page 250: Mount Ararat, or Jared, or Yard, and its significations. The place of Ararat, or Mount Jared, in
TABLE OF CONTENTS. XI
the Adamic Chronology. Page 251: Astronomical personification. Ararat same as the Roman yanus Bifrons and St. Peter. Page 252 : Peter same as cube of 5 under the name of the stone. (There is a curious reflection here. Matthew 16, v. 18, says: "Thou art Peter (rock or stone), and on this stone I will build my church." The only other place in the gospels where the word church is used is in chap. 18, v. 15,6/ seq., where there is commandment for the settlement of trespasses by the church. In both these places the power of binding and loosing is given, showing a direct connection. Contrast this with chap. 5, v. 23, et seq., where there is command for reconciliation with the brother before bringing the gift to the altar. Now, it is most strange : the word for church is ecclesia, which is a term of separation, or of the comers out from, and could have had no existence until not only after the death of Jesus, but until the destruction of the altar and temple ; for so long as there was an altar and temple, just so long the Jews, by the commands of Jesus, -were to obey the law. Has there been interpolation here.' or were these sentences used prophet- ically?) Page 253: Other types and teachings. Page 254 : Curious, but illustrative, opinions of the church as to women. Page 255 : The twofold character of the Messiah, and its paralleled Hebrew and Greek mode of origin. Page 258 : The Meshiac condition connected with the geograph- ical location of the head-waters of the Jordan river. Page 259 : Curious learning as to the salient dates of Biblical occurrences agreeing with as- tronomical time marks. Page 260: Remark as to the " Life of Apollonius of Tyana, by Philostratus," and its connection with the life of the Savior. Page 261 : Other Meshiac types and shadows. Accounts for the conver- sion (which word means turning' as on a hinge") of St. Paul. Why he was Saul and Paul. Page 262 : Saul and David. (Note that while Saul was son of Kish, in Hebrew 113, so David was son of Jesse, or ^^*, and this word placed in a circle reads 113.) Page 263 : Acrostic uses in the Bible; HIS, and Shem, Ham, and Japhet. Roman badge.
Appendix VI.
§ 94. Grand determinative at the close of the flood, going to show that the confusion of lip did not necessarily imply confusion of knoivledgc. An evidence of common p6ssession of this knoxvledge. § 95. The con- struction of the Tabernacle as a dwelling of Jehovah. Page 271 : Number value of name of Moses is 345; that of Jehovah, in His assumed name of I am that I am, is the reverse of this, or 543.
XU TABLE OF CONTENTS.
Appendix VII.
? 96. An essay on the fourth chapter of Genesis, showing the continued relations of the Garden of Eden measures as connected with those of the pyramid, and an attempt at deciphering the hieroglyphic or deeper read- ing of the narrative ; connecting also the plan of encampment of the Is- raelites (a Garden of Eden form) with the closing scenes of the New Testament. (The idea is to be noted here, — in reference to the fact found in the text that the solstice and equinox lines do not divide the year circle equally, and that the half of the year on the autumnal side of the solstice line is 3 days larger than the other, — that, astronomically, the three days of the Savior in the ark, ox ground, or grave, may have had reference to this fact. Another note is here made as to one of the values of the words Garden of Eden, shown in the text to be 177, which may be useful. Ten cubits is numerically 17.17666+ feet, and this squared is the surface of one of the faces of a cube ; and this multiplied by 6, would equal the en- tire superficies of a cube. The Holy of Holies was a cube of ten cubits ; therefore, this expression would apply to it. Now, the operation gives 17.17662X6 = 1770+; wherefore, the value of the words Garden of Eden, as 177, mzy,for one phase, have indicated the cube of the Holy of Holies. Further, as a note, there seems to be a connection between the 7 (seven) fold of Cain and the 70 (seventy) fold of Lamech, with the 7 and 70 times of forgiveness by Peter.) Page 300: False rendering of the words of the Savior as given in Matthew, chap. 27, v. 46. Page 301 : This false rendering a purposed one to give force to a mystical sense. Page 302 : Comments by a clergyman on the " Study of the Bible," appropriate as to the contents of this work.
Conclusion of Appendices.
§ 97. Authorities for an esoteric reading of the Bible. Rabbinically. By the Church. \ 98. The esoteric teaching confined to the few. The Bible a Divine, or spiritual work. God -the immediate Causer of each sequence. He must be a conscious entity. Page 309 : Mystery, dark-say- ing, and cloaking, the burden of the Testaments. § 99. Are the keys of this esoterism lost.? Page 309 : Possessed by the Roman Catholic Church, and by the Free Masons ; and probably by the Greek Church and the Brahmins. Traces of it in the English Church. Page 310: Resolutions of the Academy of Sciences, and of Royal Society of London, against en- tertaining a thesis on the subject of the Quadrature, perhaps an indication of a motive for concealment of the hidden wisdom. Page 311 : Two evi-
TABLE OF CONTENTS. XUl
dences of the modern existence of this knowledge. Templar emblem of the old man. (The five-rayed star, or pentapla, as signifying a pyramid.) The Genius of Free Masonry, and detailed description of its meaning. Page 314: The province oi ritualism. Page 315: Ritualistic symho\s. (a.) The T'phillin; (3.) '~i\\& cross 2iX\dL rosary. Page 318: Conclusions by the author. A discovery by the author, made as these last sheets are in the hands of the printer, is too important to be omitted, and must find a place here. It has a bearing upon the whole work, both as to Mr. Parker's claims, as supporting them, and also as to the Biblical contain- ment of his forms, as the perfect, or Divi7ie, ones. Mr. Parker's work goes to the extent of showing an integral relation of area of a square to that of its inscribed circle, and of diameter to circumference of a circle by use of a basic nutnber forin as seen. Now, if from the same basic num- ber the harmony extends to the development of an integral relation be- tween the cube solid, and the solid contents of its inclosed sphere, this, by harmony, is in very nature almost conclusive of the natural or Divine na- ture of the origin of the Parker forms. Let the difference between Mr. Parker's relation of diameter of one to circumference, and the accepted one be first stated : The accepted one is i : 3.141592+, while that of Mr. Parker, being 6561 : 20612, is i : 3.1415942691+. For singularity of re- lations connecting Biblical numbers referred to in the text with geometri- cal changes of forms, by means of the Parker quadrature elements, take the following :
The running values of the letters of the Hebrew word man (J^*{^) are 113; the full values, added, are 311 ; and so, also, the full value of the Hebrew words the -woman (nt^J^^H)' added, are 311 : so that 311 is both man and the -woman, while 113 is man. The form stands 311 — 113, which reads the same either -way. But the term man as aish is a form of Adam, a.nd Adam is 144; and on the four cross lines of the square, from verge to center, the values read, or are taken as 144 — 441, or the reverse (and tak- ing the square thus divided as the squared Zodiac, while one 441 is the Hebrew dami (441), or the vertical line as the sun overhead, or solstice line to the center of the square, another 441 is the datni (441), as the bloods of Abel shed, and is the line of the ecliptic, or equinox, from the autumnal edge to the center of the square.) But thus we have two forms — viz., (i.) 311 — 113, and (2.) 441 — 144; linking themselves together. But from the matt form 113, the -woman was taken as 5315, and there resulted the form 5315 — 5135; and by dropping the two fives in the center of the square, we had remaining the form 531 — 135, or -woman as 135, and its re- verse 531 : whence were derived the Melius and Parker forms, showing
XIV TABLE OF CONTENTS.
one object of the use. Thus there are three forms all connected together under the names man, the -woman, Adam, and -woman, and they can be placed as —
3"— 113 441 — 144
531—135 It is said o{ the -woman that she was taken from Adam, and afterward that the Lord God brought her to the Adam, showing some use o^ -woman vfKth. Adam ; so take the above form of -woman, or 135, and Adam, or 144, to- gether,
as 135—144
or reversed, as 531 — 441 ;
which last form, reversed, is Adam joined to woman, or the hermaphro- dite iorm. But take it that there is a significant meaning to the form 531441 {as t hus obscured), as disclosing a development of the Parker Quadrature forms, thus : Take the Parker forms, or —
(i.) Area of square, 6561.
Of which the side of square is, 81.
(2.) Area of its inscribed circle, 5i53*
Of which the diameter is, 81.
Then cnanging area to rectification, or line, measure : (3.) Diameter being 6561.
Circumference is 5153 X 4= 20612.
And now there develops from area and line, to cubic measure, by a wonderful and harmonic sequence, as follows : (4.) The square of Si to the side in (i.) cubed is
6561X81=531441 or the connected form of -woman Adam ; and now (as discovered by the
author March 10, 1875),
I 3
(5.) The 5£>//</ contents of a sphere is to be had by the form-; 77 Dia.
(see any geometry); which for a diameter of 81 as in (i.) is 81 X
(3.1415942691 -i-6 = ) .523699044S+ ; and, as a i^ct, this is precisely the
same as 20612 [rectification of circumference in (3-)]Xi35- So that
while the area in (i.) changed into a cube is 81 , or 531441, the solidity of
the contained sphere is 20612 X i3-5 = 27S262, showing a continued inte- gral relation ; where the solidity of the sphere is the Parker circumfer- ence multiplied by 135, or by -woman, and where the solidity of the con- taining cube is expressed by the reversed form of -woman-Adam, or
53M4I-
TABLE OF CONTENTS. XV
By this a leading is shown to closing up these curious relations, won- derful as eventuating in integrals :
(i.) Relation of area of square to that of inscribed circle.
(2.) From this is derived linear relation of diameter to circumference of a circle.
(3.) And, then, from (2.) the value of linear circumference multiplied by ivoman, or 135, gives the solidity of the sphere inclosed in the cube of one of the bases of which {1.) is the area; the cubic contents of which
cube is Si or 531441, or reversed, 144 — 135, or a use of the joined values of Adam and -woman.
This shows that there is /« nattere not only an integral relation between the value of the area of the circle inscribed in the square to the area of that square, and between the linear diameter to circumference of a circle, arising from the same numerical forms, as stated by Mr. Parker, but that on the same numerical basis it is to be shown that the integral relation of the cube to its contained sphere is 531 — 441 to 20612 X i3-5= 278 — 262 : and this harmony, with such multitudes of others as have been shown, only goes to confii m the fact that the Parker relations are the true nat/iral ones from eternity to eternit)- : and are the ones on which the Bible is built.
To complete the integral relations. The surface of the cube of 81 to
the edge is one face = 6561 X 6;= 39366. Surface of contained sphere ^^
TT Dia. :^3.i4i594269i X6561 = 20612.
The following and closing relation, discovered March 17, 1875, is too important to omit, as it has a bearing upon the foundations of the quad- ra tare.
Standard circumference of base of pyramid has been shown to arise
from integral relation of diameter of 6561 to circumference of 20612 ; where
4^ 20&12 is multiplied by _„, and this as inches, divided by 12 ^381.7037 +
feet, the half base side of the pyramid ("§ 41). Actual circumference of base of pyramid, enlarged on this, is where the relation is taken of cir- cumference of one to a diameter of .3183097 + , which diameter multiplied by 12 =3.8197166+, and by 100 = 381.97166+, gives a variation on 381 •- 7037 + - The circumference of 20612 on which these relations are raised, is founded by Mr. Parker on the area of 5153 of the circle inscribed in a square of an area of 6561, the side of which square is 81.
XVI TABLE OF CONTENTS.
Now, to show that these very elements of circular relation are natural, and actually have connection with the elements of the square :
(i.) The mean proportional between 381.7037+ and 381.97166-)- is 381.S3766+.
(2.) The diagonal oi 2l square whose side is 81, is 114.55129S-I-, and this
divided by -~ 381.83766-r, or this very mean proportional between these
circular elements : and this shows that the elements of the square do of themselves by nature contain relations to the elements of the circle ; which, again, proves that Mr. Parker's results are well taken according to nature, and are consequently right.
The value 1 145.51298 -h 5 =: 22910+, is a reduction of this connection between circular and square elements, and the author believes (from mem- ory) that 229.10+ is marked, in inches, as a measure of antechamber pas- sage in the pyramid, by Professor Smyth.
The mean proportional 381.837+ is the square root of 1458, or 486 X 3-
March 22, 1875.
THE SOURCE OF MEASURES.
INTRODUCTION.
The following, in place of a work, strictly speaking, is rather an essay or study. It is like the study of an artist, where it comprehends many details in outline going to make up a whoJe, yet unfinished and subject to change, here and there, as the blending of details may prove in- harmonious or incongruous to the general scope of the de- sign. Unlike such a study, however, others can join in the labor of completing the task ; and it is hoped that it may prove an incentive to that end.
The whole constitutes a series of developments, based upon the use of geometrical elements, giving expression in a numerical value. These elements are found in the work of the late John A. Parker, of the city of New York, set- ting forth his discovery (but, in fact, the rediscovery) of a quadrature value of the circle. Upon this one, that of Peter Metius, of the sixteenth century, seems to be a varia- tion.
Mr. Parker makes use of an element of measure of the equilateral triangle, by which, as a least unit of measure, to express tha measure of the elements of a circle in terms of the numerical value of a square : so that, as a conclu- sion, a square of 8i to the side, or 6561 in area, shall con- tain a circle whose area equals 5153; or, rectifying the circumference, a diameter of 6561 shall have a circum- ference of 5153X4=20612.
Introduction.
Let it be understood that the question of value of the quadra- ture, whether by Mr. Parker, or by Metius, as to whether it is the expression of exactitude of relation, does not arise ; nor is it, save incidentally, pertinent to the subject-matter in hand. While this work thus is relieved of any necessity of examination into the question of the possibility of what is called " the quadra- ture." or "■ the squaring of the circle" nevertheless, it is neces- sary to a proper understanding of the whole that some, to many persons very dry, details of Mr. Parker's construction of his quadrature should be set forth in the very commencement. In- cidentally, however, it is thought that the matters established herein, as having a direct relation to the holy things of God, as laid down in Scripture, will force an inquiry, on the part of de- vout people, into the abstract question of " the quadrature" both as received and as set forth by Parker and by Metius ; and also into the question of any special value of the quadrature by Parker, as related to the generally accepted one.
One development is as follows : The numerical value, 20612, of a circumference is made use of to derive from it a unit of measure for linear, supe7fcial, and solid meas- ure. Thus, as a common unit of measure is the edge of one of the faces of a cube, and as there are twelve edges to the cube, the division of 20612 by 12- is the distribution of this value onto these 12 edges; so that the quotient, which is 1717. 66+, is that unit of measure, which is, how- ever it may be used, convertible into circular, and again, back into the geometrical elements whence derived. And this is obtained by the special numerical value, 171766-f , the one-twelfth of 20612, whether, as a fact, it be used as a whole or as a part, as 1.71766+. Now, as a fact, 1.71766-f- of the British foot is the ancient cubit value; hence, the whole scheme thus far displayed has been practically util- ized, inasmuch as 20612 is thus seen to be of the value of British inches, while its derivative of 171 766+, so divided or scaled as to represent i. 71 766+, is the ancient cubit.
This is confirmed from the fact of restoration, by means of these numerical values, of the great pyramid of Egypt, in terms of the British measures thereof made of late years.
Another developnient is that, by a variation on the use of these numerical values, taken systematically, not empiri-
Introduction.
cally, a diameter value to a circumference value of 6 is found, which is discovered to be the basis of the Hindu method for the calculation of tables of sines and cosines^ tangaits and cotangents^ and of the orbits of planetary- bodies ; which variation, as an enlargement of the above values, on application, is found to give the exactitude of the pyramid measures, agreeably to the design of the archi- tect, thus again coupling a modern with an ancient use.
Another development is that the British system of long and land measures is discovered to contain an occult or obscure system of time calculations, based on the fac- tor 6, by which it is seen that the entirety of the British measures rests upon these anciently developed elements, and thus is, in fact, but a phase of the Hindu system. The factor 6 is the base of the acre and mile measure, running up from the inch and foot, and the equivalent of the base side of the pyramid (which is a diameter value to a circumference of 24) is the side of a square, di- vided into four equal parts of 6y^6 each, in terms of the British foot, and necessarily the inch ; hence the advanced measures, as far as the mile, are thus involved. But while this is so, the means of obtaining this pyramid measure is through use of the Parker elements ; hence the Parker elements are thus connected with the whole range of Brit- ish measures.
But the greatest development is that the entire system seems to have been anciently regarded as one resting in nature, and one which was adopted by nature, or God, as tiie basis or law of the exertion practically of creative power — i. e., it was the creative design, of which creation was practically the application. This seems to be estab- lished by the fact that, under the system set forth, meas- ures of -planetary times serve co-ordinately as measures of the size of planets, and of the peculiarity of their shapes — i. e., in the extension of their equatorial and polar diame- ters, in terms of the British measures, or the cubit meas- ures arising, as stated, from the forms of Mr. Parker.
The true study of the Deity by man being in the observa-
Introduction.
tion of His works, the discovery of a fundamental creative law (in numbers and measures), as regards His works, of as wide and comprehensive grasp as shown, would locate the substance of such a discovery as the practical real tan- gible link between God and man, as that by which man can in a measure realize the actually existing working qualities of God, just, speaking most reverentially, as he would those of a fellow-man — as, say, of a mason, or of a carpenter ; thus revealing tangible existence, likeness, re- lationship, and, remotely, companionship. Such a link, once found, would constitute a base for superstructures of recognition, praise, worship, and copy. As a fact, this system seems to underlie the whole Biblical structure, as a foundation for its 7'ihialism, and for its display of the works of the Deity in the way of architecture, by use of the sa- cred unit of measure in the Garden of Eden, the Ark of Noah, the Tabernacle, and the Temple of Solomon.
Such seem to be the characteristics of development from the elements of quadrature of the late Mr. Parker. The extent to which the development is made so as to compel a mental assent, must be tested, of course, through the con- tents of the work. There is no disposition on the part of the author to make any assertion as to the strength of his work. What he has done has been done to the best of his ability, and he believes that a studiously careful reading of the work done, will be that, and alone that, upon which any fair criticism can be based.
Since, after all, all matters of science subordinate them- selves to any one by which man can arrive to a realizable knowledge of God, all things in this book are of poor value in every other regard, comparatively, save as they lead up just to this kind or condition of knowledge. Such being the case, the following statements may be made as intro- ductory :
(i.) The '•'■^ladrature of the Circle," by John A. Par- ker, sets forth the integral relation of diameter to circum- ference of a circle as 6561 to 2061.2, derived from area computations, viz : area of square being 6561, area of in-
Introduction.
scribed circle is 5153 ; and diameter being 6561, rectifica- tion of circumference is 5153X4=20612.
(2.) It appears that nature was regarded as making use of this numerical relation, as a law or application of num- bers to measures, by which to construct the mechanical properties of the universe ; so regulating the times of the planets that they should move by a numerical system such that by it the measure of their shapes was to be obtained in a definite class or scale of measures adapted to the same system : so that movement should co-ordinate with size under the same system.
(3.) However man obtained knowledge of the practical measure, the British inch, by which nature was thought to adjust the planets in size to harmonize with the notation of their movements, it seems he did obtain it, and esteemed its possession as the means of his realization of the Deity — that is, he approached so nearly to a conception of a Being having a mind like his own, only infinitely more powerful, as to be able to realize a law 0/ creation established by that Being, which must have existed prior to any creation (kab- balistically called the Word) . The knowledge thus gained was simply that of the measure spoken of with its uses, in connection with the geometrical elements from whence it sprung.
(4.) This knowledge as to its origin, interpretation, and use, became somehow that of a caste condition. As such it was most sedulously concealed, and when set forth it was only in a secret or very obscured way. One way of set- ting it forth was by hieroglyphic writing. This method is the burden of the Hebrew Bible. Another way was by architectural display. The greatest ever made was in the great pyramid of Egypt ; the next greatest seems to have been in the temple of Solomon.
(5.) It is thought the restoration of this pyramid agree- ably to the design of the architect, will affbrd the means of translation of the hieroglyphic meanings of the Hebrew Bible, as, on hypothesis, the one was written and the other built to set forth the same natural problems.
Introduction.
The first step, therefore, necessary to the deciphering of the hieroglyphic or symbolic meanings of the Hebrew Bible, is the restoration of the great pyramid after its archi- tectural conception. This is the chief burden of this work ; and it is thouorht that the intent of the architect has been so far recovered as to justify publication. Secondarily, it is to be shown that the Temple was but another architec- tural style of setting forth the same measures with the pyr- amid. The balance of the matters, condensed as much as possible into brief outline, chiefly serves to exemplify the method of Biblical application of the pyramid system. This balance is noted here and there in the text, and is contained in the appendices. It serves to relieve the dry details of figures and calculations, to show related connec- tions, and is hoped to excite interest in the whole subject, and to stimulate those who may read, to an earnest effort in the further prosecution of this subject so fascinating in its elucidations.
The relation of 6561 : 20612 is both in the pyramid structure and in the Bible coupled with the form 113 : 355. Some connections between the two will be shown, but what the exact basic relations between them were, as anciently recognized, remains to be discovered.
The Hebrew Alphabet.
THE HEBREW ALPHABET.
For the general reader to understand how a numerical or mathematical system may lie closed up in the Hebrew Bible, it may be well to state that the Hebrews, so far as has come down to us, had no numeral system, apart from their, literal one — i. e., their alphabet held their numerals, just as if, in English, our a, b, c, stood for i, 2, 3, and so on, in lack of the Arabic system of numerals, borrowed by us, and now of exclusive use (although it would seem that they were in possession of this system also). The following is a table for reference, giving the Hebrew al- phabet, the power of the letters, their symbols to some ex- tent, with the numerical value fixed to each letter. The laws of svmbolic use of words as numbers in the narrative of the Bible are not known, and the real uses are only to be accepted or received to the extent for which there is in- trinsic proof. Otherwise, it is to be observed that where the letter values rise above units to tens and to hundreds, while the letter character may stand for, say, 20 or 200, very frequentlv the characteristic value is used as giving the expression of the unit value 2 alone. Thus, the letters yy^, or the signs of 2, 20, and 200, may be read by their characteristics of 2, 2, 2, without special reference to the ciphers. So, also, ^^ may be read as 123, whereas, by adding as the values are indicated, the sum would be 510. In many instances, too, the right numbers, found by one expression, are also made use of, by a reverse reading, for some other use, connected or not. Again, the use may be of numbers, simply placed above the letters of a word, read perhaps in the reverse, or of the sum of the full values, addition being made. Thus, the above number maybe used as 123 or 321, or 510 or 015, agreeably to the indications to be gathered from the context and the con- nections, or from determinatives of the proper or intended use to be found in the text.
A very remarkable feature of Hebrew usage is in the
8 Introduction.
permissible interchange of letters of like class, and sometimes of unlike classes — thus, the letters of any one class, as gutturals^ etc., are interchangeable, and may be made use of sometimes without change of the meaning of the word, frequently for the purpose of working out a slight modification of meaning, sometimes to indicate a very marked departure of meaning. A good and very im- portant illustration of this may be given. The verbal ^^1, or Hay ah, or E-y-e, means to be, to exist, while 11^11, or Chayah, or H-y-e, means to live as motion of existence. The letter *, or /, ory', ox y, in these words, is interchange- able with the letter •), or vau, or w, and the two words may be read as TWT\ or mn, without change of meaning. The first becomes Havah, or Eve, and the second becomes Chavah, or Ch-v-e, and their meanings, as above, being so slightly modifications of each other, they are as words interchangeable one for the other — that is, one may be taken for the other. Now, the first, literally, is Eve, while, as a substantive, the second means mother, and is, in fact, the proper name as given in Genesis for Eve, the mother of all living. The Deity name, J'hovah, is a compound of two words, viz., % or yah, and hovah, or IT)!!, one of the very words in question. The word Jehovah, or fah-Eve, has the primary significance of hermaphrodite existence or being, as male-female, and is mH"^, of which the », or /, or y, or y, stands for yah, or male, while T\*ST\ is a change upon the word mil, for the purpose of getting the nu- ineral form of 565 for 865 (originating in the yoni word fsh, or pj=565) : niH as the woman, or Eve, making up the male-female word Jah-Eve, was the primary intent, the less significant word mil, as of i7iere being, taking the place of the more significant one, for the sake of the number value (springing through H^, or 565, as a flux), which, in another view, as will be seen, is of the utmost, and really of paramount importance. Thus, while it may be said that none but a very slight change has been made in the word forms, as to their meanings, a very marked change has been made numerically, which was the pur-
The Hebrew Alphabet.
pose of the change. The great power of kabbala rests upon this kind of play, and is thus derived. Ordinarily, grammatically, however, the same is worked under a law of construction. Under the title " Orthographic Changes," in his Hebrew Grammar, Green says :
" The signs (of the alphabet) thus far described represent all the sounds of the Hebrew language. Its stock of words is formed by combining these in various significant ways. The laws of such combinations, and especially the mutations to which they are sub- ject, or which they occasion, next demand attention. When a particular idea has been attached to a certain combination of sounds, its different modifications may naturally be expressed by slightly varying those sounds. This may take place —
" I. By the substitution of one letter for another of like charac- ter, and for the most part of the same organ, e. g. : TX'T\ to be^ to exist ; n*n ^^ I I've.
" 2. By transposition of letters, e. g. :
VIS to deal violently ; ^^^i3 to urge.
" 3. By the addition of a letter.
>1<** *>!<>(; 5[<;i<^
" Such literal changes as those just recited not only serve to ex- press new shades of meaning, but even where the meaning re- mains precisely the same, they may represent diversities of other sorts. * * * The lexicographer regards such words (under- going such changes) as cognate, and traces them back to their common source."
These subjects can be but touched on in this work. Vol- umes have been written on them, and it would be well to treat them more at large in this connection could it be done in a manner not to confuse the main object. It must suf- fice to close with the Alphabet table.
No. Form and power. Name. Symbol.
1. J^ a scarcely audible Aleph. Ox or Bull.
breathing.
2. ^ <5, (5//, or bv. Beth, House.
3- .3 S^^^^- Gi'mel. Camel, serpent erect
(Sharpe). 4. "J c/, dh. Da'leth. Door, 07pQ<:}a[u(;diingc?
lO
Introduction.
No.
Form and power.
5-
n
,^; Latin e; Greek ^ ; smooth breathing (Fuerst).
6.
V or iv.
7-
r
z.
8.
n
ch^ kh, hh; Latin h;
Greek H, v; rough breathing, or the Greek x (^Fuerst).
Name.
He.
Van.
Zayin.
Cheth.
Symbol.
Window opening, womb (Kabbala), also part of the fence of the letter n (Fuerst).
Nail, hook, (crook, Egyptian?).
Weapon, (Scepter, Egyptian ?).
Fence, ^Hi Venus (Seyffarth). Affin- ity with n? as the womb.
JVote, that the letters |7 and |7 are from the same source, and are taken as the divided halves of one oblong (of two squares), with a little opening in one end as seen in H- The letter H is 5, or a cube of five, while H is 8, showing the number of cubes taken to make a larger one. (So 8 thus used, is the same as 5 duplicated, for 5''=i25, and 125X8=1000, and a larger cube made from the smaller of five, will make 5+5, or 10 to the side.)
9- D t.
10.
y
|