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 477

280
GANITASĀRASANG RAHA.
product is diminished by the measure of the interval between the wall and the style. The difference (so obtained) is divided by the very measure of the human shadow (referred to above). The quotient so obtained happens to be the measure of (that portion of) the style's shadow which is on the wall.
An example in illustration thereof.
22. A pillar is 20 hastas (in height); the interval between (this) pillar and the wall (on which its shadow falls) is 8 hastas. The human shadow (at the time) is twice (the man's height). What is the measure of (that portion of) the pillar-shadow which is on the wall ?
The rule for arriving at the numerical value of the measurement of the interspace between a wall and a pillar, when the height of the pillar and the numerical value of (that portion of) the shadow thereof which has fallen upon the wall are (both) known.
23. The difference between the height of a pillar and that (of its shadow) cast on (a wall), multiplied by the measure of the human shadow (in terms of the man's height), gives rise to the measure of the interspace between that (pillar) and that (wall). This value of the interspace divided by the difference between the height of the pillar and that of (the portion of) the shadow thereof cast on (the wall), gives rise to the measure of the human shadow (in terms of the man's height).
An example in illustration thereof.
24. A pillar is 20 hastas (in height); and the (portion of its) shadow on a wall is 16 (hastas in height). The human shadow (at the time) is twice (the human height). What may be the measure
of the interspace between the pillar and the wall?
23. This rule and the one in stanza 26 following give the converse cases of the rule in stanza 21 above,