Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 478

CHAPTER IX.-CALCULATIONS RELATING TO SHADOWS.
An example in illustration of the (rule in the) latter half (of the stanza).
25. A pillar is 20 hastas (in height) and the (portion of its) shadow on a wall is 16 (hastas in height). The measure of the interspace between the wall and the pillar is 8 (hastas). What is the measure of the human shadow (in terms of the man's height) ?
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The rule for arriving at the numerical value of the height of a pillar, when the numerical measure of the (portion of its) shadow cast on (a wall and the measure of the interspace between (that) pillar and (that) wall, and also the human shadow (in terms of the human height) are known.
26. The measure of the (pillar-shadow) cast on (the wall) is multiplied by the measure of the human shadow (in terms of the human height); and to this product the measure of the interspace between the pillar and the wall is added The quotient obtained by dividing (the sum so resulting) by the measure of the human shadow (in terms of the human height) is made out by the wise to be the measure (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 (hastas). 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 pillar 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 sum of the measure of the style and the measure of the shadow (thereof), when divided by the measure of the human shadow (in terms of the human height) as increased by one, gives rise to the measure of the height of the style. The measure of the shadow of the style is of course the (given) combined sum diminished by this (measure of the style).
26. Vide note under stanza 23 above.
28 and 80. The rules here given are based on the rule stated in the latter half of the stanza 12 above.
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