पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/४७४

278 GANITASARABAAGRAHA An emple w ita8tration thereof. 134. A prize-fight between gymnasts began in the forenoon, when the shadow was equal in measure to the style. (Its) conclusion took place in the afternoon, whe7 (the measure of the shadow was) twice (that of the style). What is the duration of bhe fight ? An example a stadtio (of the. १ule) in the latter |c/ ° of the stanza) 14४. The shadow of a pillar, 12 hosta8 (in height), is 24 hostag in measure. At that timeo arithmetician, of what measure will the human shadow be ? The rule for arriving, at the period (of the day elapsed or to alapse), in places having the equinoctial shadow, when the measure of the shadow at any time is known : 15. To the measure of the known shadow (of the style) the measure of the style is added ; (his sum is) diminished by the measure of the equinoctial shadow, and (the resulting difference is) doubled. The measure of the style divided by the quantity (so arrived ab) gives rise to the value of the portion of the day (elapeed) in the forenoon, or (to elapse) in the afternoon, (as bhe case may be). An example an astration thereo) . 16-17. In the case of a style of 12 igula, the (equinoctial) noon-shadow is 2 argula8, and the known shadow (at the time of observation) is 8 digules. What portion of the day is gone, or what portion (yet) remains ? If the portion of the day (elapsed or to elapse) happens to be =, what are the giants (corresponding to it), the duration of the day being 30 ghoti8 ? 15. Algebraically the formula given here for the measure of the time of the day in where e is the length of the equinoctial shadow of a 2 (४ + ० style. The formula is obviously based on the formula given in the note to the rule in stansa 83 above