Basic Mathematics

Author(s): L C Jain
Publisher: Rajasthan Prakrit Bharti Sansthan Jaipur

Page 49

T2 = [-T + } ] = 1 = [T-}]
D
-
-
-
-
-
T
E
T
/2-
--
-
-
-
-
-
-
--
-
H
T-T/3
....
..
..
....
........
A
-
-
-
-
-
Here the figure ABCD represents T2, the rest is obvious from the figure. The method is thought by Heath to have been originated with the Pythagoreans. From Babylonian records, however, it appears that there might have been a diffusion of such knowledge from the Near East to Greece in a period close to the eve of the Macedonian offensive against the Persian Empire. 74
(f)
A new value of 7
Apart from the two values of a as 3 and ✓ 10, Virsena has quoted from some earlier work the value of 7 in the following form:
If Circumference Diameter
= =
C D.
then
C-
3
D
+
16 D +16
113
was the formula according to the
74.
Cf. Neugebauer, op. cit., p. 149, et seq.
32