________________
iv
west every day of the year. But the sun moves northward for six months and southward for six months and a correc. tion has therefore to be applied for the movement of the sun during the time between the two markings on the circumforence. That is done by adding a third mark on the circumference in the morning next following. It will be found that there is a slight displacement of the prior point. The distance between them is due to the movement of the sun Southward or Northward during the twenty-four hours that have elapsed between the two markings in the morning. The actual correction that is necessary is for the displace: ment between the markings of the morning and evening (i. e.) for about 8 hours. The morning marking therefore is shifted by one-third of the total displacement for one whole day and that is connected with the point for the evening.
Another correction for the actual declination of the sun from the Zenith at noon is also mentioned so that the length of the shadow may be corrected to the position of the sun without declination. And the number of angulas by which the length of the shadow is to be diminished on account of declination is also given for various months. According to our text there is no shortening for the months of Vṛsabha and Kanya. The names of the months indicates that they are solar months and so Vrsabha is 15th May to 15th June. Therefore at the place where our text has been written the sun is overhead about June first and October first. The sun is overhead the equator in March 22. It travels from tropic of Cancer to tropic of Capricorn, i. e., an angular distance of 47° in 6 months. Therefore it travels roughly 8 degrees a month. From 22nd March to 1st June it is about 2 months. Therefore the latitude of the place is about 18 North. The lengths by which the shadow has to be shortened for the months in angulas is given as follows:
Meşa 4 [2 or 3]
Simha
Danus
*It is clear that the figure has been wrongly stated as 4 in the text. The correct number is 2 or 3.
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4
-
6
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