SCIENCE IN ANCIENT ARTWORK AND SCIENCE TODAY
Pi, the Reciprocal of Seven and
Trigono/metriX
By
Charles William Johnson
Extract
The subject of ancient reckoning of time and space can
only be inferred from the logic of numbers, with very few exceptions of
data in the historical record. Many historically significant numbers exist
in the historical record of different ancient cultures. But, the method
for computing those numerical results remains a theme of speculation.
Many of the ancient Babylonian clay tablets that exist reflect specific
mathematical and geometrical problems, much like a school textbook of
today. However, notebooks of the scientists who computed the astronomical
meandering of the bodies in our solar system have yet to be found.
Our analyses of the historically significant numbers coming out of the
ancient reckoning systems are based on speculation about the logic of
numbers; how the numbers might relate to one another through elementary
mathematical methods. Numbers that appear in the ancient maya system
are compared to the numbers that appear in the ancient kemi system.
Such a comparison allows us to visualize the significance of intermediary
numbers. The ancient day-counts of 260, 360, 364, and 365 days are taken
into consideration in this light, along with other day-counts relating,
for example, to the cycles of other planetary bodies in our solar system.
In this manner, one is almost able to distinguish the possibility that
the 365c day-count came about before the 260c day-count. Scholars believe
the 260c day-count to be the older calendrical system, but the math of
the numbers suggests otherwise.
In this manner, strange appearing numbers in the historical record, such
as 756, 819, 151840, 1366560, among many others, suddenly reveal unsuspecting
interrelationships. For example, the k'awil count, identified as
the 819c day-count, appears to mediate computations between the 360c and
the 364c day-counts. Further, one begins to distinguish the possible use
of the mediatio/duplatio method of computation, whereby the ancients
may have not only doubled numbers, but also trebled them. In this manner,
one arrives at a table of squares and cubes of the whole numbers. Numbers
that at first glance appear to be unrelated are thus revealed to lie on
the same number series representing a multiple of one another. The maya
long count is a more obvious case in representing a doubling of its terms
(36, 72, 144, 288, 576, 1152 and 2304).
Historically significant numbers like the 2268 Nineveh number relate easily
to many other numbers coming out of the historical record from other cultures.
Furthermore, this particular number represents an approximation for a
pi-related number on a circle that would be divided into 260 degrees instead
of 360 as we divide the circle today. And, the degrees of inclination
22:68:90 represent a possibility for a perfect right triangle. In fact,
as of the trigonometric table many of the historically significant numbers
make their appearance in an unsuspecting manner.
In Pi, the Reciprocal of Seven and Trigono/metriX, we examine the
concept of pi and variations thereof, along with the computational importance
of the reciprocal of seven, in relation to pi and in relation to different
kinds of circles. The ancient concept of pi may have been much more dynamic
than our concept today in that the ancients may have used circles divided
into different degrees (260, 360, 364, 374.4, 378 degrees). The reciprocal
of seven may have served as the basis for computing whole numbers as of
fractional expressions. And, the trigonometric table may have been the
basis for selecting many of the historically significant numbers. From
all appearances, the different ancient reckoning systems suggest the possibility
that they may have come from a single system of reckoning.
E a r t h / m a t r i X
SCIENCE IN ANCIENT ARTWORK
Pi, the Reciprocal of Seven and Trigono/metriX
By Charles William Johnson
Published by: Earth/matriX P.O. Box 231126 New Orleans, Louisiana 70183-1126
USA
Branch: Earth/matriX-México Jorge Luna /Director - Mexico, Apartado
Postal 70-257, Ciudad Universitaria, México, D.F., 04510, México
August, 1999.
ISBN 1-58616-178-4
Copyrighted © 1995, 1996, 1997, 1998, and 1999 by Charles William Johnson. All rights reserved. Reproduction prohibited. Printed in the United States of America. Published simultaneously in Mexico. This publication, or parts thereof, may not be reproduced in any form of photographic, electrostatic, mechanical, or any other method, for any use or purpose, including information storage or retrieval, without written permission from the author, except for the inclusion of brief quotations in a review.
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