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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
CHAPTER IX-CALCULATIONS RELATING TO SHADOWS.
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The rule for arriving at the measure of the shadow correspond. ing to a time (of day) given in ghatis.
18. The measure of the style is divided by twice the measure of the given) portion of the day ; (from the resulting quotient) the measure of the style is subtracted, and (to it) the (equinoctial) noon-shadow is added. This gives rise to the measure of the shadow at the required time of day.
An example in illustration thereof. 19. If, in the case of a style of 12 angulas, the (equinoctial) shadow is 2 angulas, what is the measure of the shodow (of the style) at a time when i0 ghatis have elapsed or have to elapse, the duration of the day-time being 30 ghatis ?
The definition of the measure of a man's foot in relation to measurements carried out by means of the foot-measure as involved in the shadow.
20. One seventh of the height of a person happens to be the length of that person's foot. If this be. so, that person sball be fortunate. (Thus the measure of the shadow in terms of the footmeasure is obvious.
The rule for arriving at the numerical measure of the shadow which has ascended up (a perpendicular wall).
21. (The height of) the style is multiplied by the measure of the human shadow (in terms of the man's height). The resulting)
82y
18. Algebraically
- a + e, where g is the measure of the time of the day in ghutia. This formula may be seen to follow fron that given in the note to stanza 15} above.
axb --C 21. Aigebraically, h= .
where a is the altitude of the shadowwb
casting style, h the height of the shadow on the wall, b the measure of the human shadow in terms of the man's height, and the distanee be. tween the pillar and the wall. The diagram here given eluci. dates the rule. It has to be noted here that the distance between the pillar and the wal!
has to be measured along the line of the shadow which is cast in sunlight,
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