पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/४७१

एतत् पृष्ठम् अपरिष्कृतम् अस्ति

CHAPTER X-CALCULATIONS REATING TO SHADOWS. 275 CHAPTER IX. CALCULATIONS RELATING I SHADOWS, 1. 'hat,Jina, Santi, who bestows peace upon people, is the lord of the world, knows all beings, and is (ever) growing in influence through his eight miraculous powers-to him, who has vanquished the hosts of his enemies, I bow in salutation. In the beginning, we shall give out the means of determining the eight directions oommending with the east, 2. On an exen ground-surface which is (a horizontal plane) like the upper surface of water, a (perfectly) round circle should be drawn with the aid of a looped string having twice the length of an optionally chosen style (ixed in the centre) 8. The shadow of that optionally chosen style fixed in the centre of that circle touches the (circumferential) ine of that circle at the beginning of the day as also at the time forming the close of the day. By this, the western direction and the eastern direc. tion are pointed out in order. 4. By means of the string running in the line of bhese two (ascertained) directions, a fish-shaped figure (or lune) should be

4. The string with the aid of which the fish-shaped figure is drawn should be longer than the radius of the cirole drawn according to star:28 2 above. I OB and ow in the annexed diagram represent the eastern and the western directions, V 8P8B win be the line drawn by degoribing two circles with centres respectively at B and W and with OR and WP as equal radii. The line NS cutting the angles of the line marks the northern and the southern direction + +