पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/४८०

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284 GANITASARASANGRAHA IThe rule for arriving at the shadow of a style due to (the light of) a lamp: 40. The height of the lamp as diminished by the height of the style is divided by the height of the style. If, by means of the quotient so obtained,the (horiontal) distance between the lamp and the style is divided, the shadow of measure of the the style is arrived at. An ecomple in &lastation thereof. 41–42. The (horizontal) distance between a style and a lamp is in fact 96 digulaThe height of the fame of the lamp (above the floor) is 60 (gles). you who have gone to the other shore of the ocean of calculation, tell me quickly the measure o: the shadow due to the fame of the lampin relation to a style which is 12 digula8 (in height) The rule for arriving at the (horizontal) distance between the lamp and the style : 43. The height of the lamp (above the foor) is diminished 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 quotient so obtained, gives rise to the (horizontal) measure of the intervening distance between the style and the lamp. An earample an illustration thereof. 44. The shadow of the style is 8 digula8 (in length). The height of the famo of the lamp (above the hoor) is 60 (digla8). 40. Algebraically stated the rule b-d

-""; where 8 is the length

of the shadow of the style whose height is represented by a, b is the height of the lamp above the ground, and c the horizontal distance between the lump and the style. The formula may be seen to be correct by nmeans of the diagram here given. b- 43. Using the same symbol, e = 8x 070 44. The given measure of the height of the style is 12-digulas, vide stanzas 46-43 below