Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 483

CHAPTER 1X.CALCULATIONS RELATING TO SHADOWS.
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An exampld in illustration of the rule in the) latter half
(of the stanga). 25. 'A pillar ia 20 hastas (in height) and the (portion of its) sbadow on a wall is 16 (hastas in height). The moasure of the interspace between the wall and the pillar is 8 (hastus)What is the measure of the human shadow (in torms of the man's height) P
The rule for arriving at the numerical value of the boight of & pillar, when the numerical ineasure of the portion of its) shadow oast on (a wall and the measure of the interspace botween (that) pillar and (that) wall, and also the human shadow (in terms of the human height) are knowi.
26. The measure of the (pillar-shadow) cast on (the wall) is multiplied by the measure of tbe buman shadow (in terms of the human height); and to this product the measure of the interspoo between the pillar and the wall is aided The quotient obtained by dividing the sum so resulting) by the measure of the human shrlow in terms of the human height) is mado out by the wise to be the moasuro (of the height) relating to the pillar.
An example in illustration thereof. 27. The measure of (the height of the portion of) the pillarshadow cast on the wall is 16 (hastax). The value of the human shadow (at the time) is only twice (the human height). The measure of the interspace between the wall and the pillor being 8 (hastas), what is the height of the pillar ?
The rule for separating the measure (of the height) of the style and the measure of (the length of) the shadow of the style from their given) combined sum :--
28. The combined gum of the measure of the stylo and the measure of the shadow (thereof), when diviiled by the measuro of the buman shadow (in terms of the hunian height) as increaecd by one, gives rise to the measure of the beight of the style. The measure of the sbadow of the style is of course the (given) combined sum diminished by this (measure of the style).
26. Vide note ander stansa 23 above.
88 and 80. The rales here given are based on the rule stato in the latter half of the range 134 aboro.
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