Hekekyan: A treatise on the chronology of Siriadic monuments: demonstrating that the Egyptian dynasties of Manetho are records of astrological Nile observations which have been continued to the present time (London, 1863)

55

The masonic rule for the reduction of a mixed number into
an entire number, is to add unity to the whole number -when
its fractional part exceeds a half. Thus the formula

(243y)+7=r77G7 = m09,5y ilinar=10776-28 solar dactyles
gives two talismanic numbers, 111 10 = A, 10776 = G.

Project a column of time into an indefinite
number of Sothis periods, and vivificate it by ^
assigning to one of the Sotho'ic graduations the
value of the Medius iEvorum M. Let X mark
the epoch of the minimum Tropical year, and fx
that of the maximum Tropical year of the great
Tropical hemicycle fx X. Let also the gradua-
tion at K be the historical epoch of the consecra-
tion of the Ark, and E the historical epoch of
the Exodus, the event in K having occurred in M—
"the first day of the first month of the second
year" of seasons after E. The following will E-
be the masonified records of the first class, in

Nile years, viz., the measure of the Tropical _,

hemicycle fx X, the antemenophrean date of the
epoch of the consecration of the Ark K and the
antemenophrean date of the maximum Tropical year fx:—
fx \ = G-7/3x =10636 Nile years.

MK=G-ygl = 285 „
Ma*=MK + S 0 + 77= 1746

.-.MX=8890 Nile years, ME = 286 Nile years, and E fx
= $ = 1460 Nile years.

The records of the second class are divisible into two sec-
tions, viz., of the lengths of the Tropical years in the epochs
fx, K, and X, and of the length of the Sidereal year.

In the formulae of the first section the talismanic number
employed is the square root of the area in square cubits of one
of the longer sides of the Ark, diminished by a square cubit.
Thus :—

V {I + a2) —1 =2-738612787525835064 = D.
The numbers being days, the length of the maximum Tro-
pical year, fi, will be