पृष्ठम्:चन्द्रछायागणितम्.djvu/४८

(The Time from Shadow proper) 28 The square root of the square of the shad ow-p/ttf- 144, is called the Shadow-hypotenuse. The radius of the diurnal circle dimini- shed or increased, by the Earth-sine (got in verse 21), respectively as the declination is south or north, is called Antya. 28b-29. The Equinoctial Shadow-hypotenuse is to be multiplied by R and divided by the Shadow- hypotenuse. This should be sub- tracted from the Antya, multiplied by R and divided by the radius of the diurnal circle. The arc of this is to be found by using the R versed-sine 10 table. This is the Hour-angle of the moon in pranas. 30 a. These prams are to be subtracted from the time of the mid-day (/.*., the time of the Meridian ecliptic point) if the moon is east of the meridian, and added to, if west. 30b-31. These pranas are to be subtracted from the time taken at first, (see verse 18). Using the motion during this period to correct the sun, moon etc., the whole operation is to be repeated several times, as before, so that two consecutive times, got by using the sun and the moon, become equal. 10. If the 'sine* is the bow-string, the Versine' is like the arrow placed on it. Hence the expression banaih.