Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

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Page 486
________________ 284 QAŅITABĀRABANGBAKA. The rule for erriving at the shadow of a style due to (the light of) a lamp : 401. The height of the lamp as diminished by the height of the style is divided by the heigbt of the style. If, by means of the quotient so obtained the (horizontal) distance between the lamp and the style is divided, the measure of the shadow of the style is arrived at. An example in illustration thereof. 411-42. The (horizontal) distance between a style and a lamp is in fact 98 angulas. The height of the flanie of the lamp (above the floor) is 60 (angulas). () you who have gone to the other shore of the ocean of calculation, tell me quickly the measure of the shadow due to the flame of the lamp, in relation to a style which is 12 angulas (in height). The rule for arriving at the (horizontal) distance between the lamp and the style :- . 43. The height of the lamp (above the floor) is diminisbed by the height of the style. The resulting, quantity is divided by the height of the style. The measure of the shadow of the style, on being multiplied by the qnotiont so obtained, gives rise to the (horizontal) measure of the intervening distance between the style and the lamp. An example in illustration thereof. 44. The shadow of the style is 8 angulas (in length). Tho height of the flame of the lamp (above the floor) is 60 (angulas). 401. Algebraically stated the rule 8=c 0-4; where s is the length of the shadow of the style whose 6 height is represented by a, b is the height of the lamp above the ground, and the horisontal distance between the lamp and the style. The formula may be soon to be correct by means of the diagram here given. 43. Using the same symbolo, c = 1 x 4. The given measure of the height of the style is 18 angulae, vide stanga 46-47 below.

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