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282
GAŅITASĀRASANGRAHA,
An example in illustration thereof. 29. The combined som of the (height) measure of the style and the length) measure of its shadow is 50. What may be the height of the style, the human shadow being (at the time) 4 times (the human height)
The rule for separating the length) measure of the shadow of the stylo and the measure of the human shadow in terms of the human height) from (their) combined sum :
30. The comhined sum of the moasures of the shadows of a style and of a man is divided by the (known height) measure of the style as increased by one. The quotient (80 obtained) is the measure of the human shadow (in terms of the human height). The combined sum (above-mentioned) as diminished by this (measure of the human shadow) gives rise to the length-measure of) the shadow of the style.
An example in illustration thereof. 31. The height of a style is 10. The sum of the human shadow (in terms of the human height) and (the length of the shadow of the style is 55. How much is the measure of the human shadow (in terms of the human height and how much is the length of the shadow of the style)?
The rule for arriving at the measure of the inclination of a pillar (or vertical style) :
32-33. The produot of the square of the human shadow and the square (of the height) of the style is to be subtracted from the
32-83. Let AB represent the position of a slanting pillar, and AC its shadow : and let AD be the same pillar in the vertical D
AE position and AE its shadow. Then
Shadou. " AD is equal to the ratio of the shadow of a van to his height at the timo; and let this ratio be. BC, the perpendiovlar from Bon AD, representa the amuant of slanting of the pillar, AB. It can be easily
1 shown that N AB' - BG|_ AD
AU - BGA From this it can be seen that BG= AO NAC'-(AO - AB'xr) (+1).
+1
> The ralo here rire this samo formala.
