Surya Siddhanta

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स्फुटतिथ्यवसाने तु मध्यग्रहणम् आदिशेत् । स्थित्यर्धनाडिकाहीने ग्रासो मोक्षस् तु सम्युते॥

At the end of the true lunar day (i. e. at the time of the full moon) the middle of the eclipse takes place; this time diminished by the exact first Sthityardha leaves the time of the beginning, and increased by the latter exact Sthityardha gives the time of the end.

english translation

sphuTatithyavasAne tu madhyagrahaNam Adizet । sthityardhanADikAhIne grAso mokSas tu samyute॥

hk transliteration by Sanscript

तद्वद् एव विमर्दार्धनाडिकाहीनसम्युते। निमीलनोन्मीलनाख्ये भवेताम् सकलग्रहे॥

In the same manner, the time of the middle of a total eclipse diminished and increased (separately) by the exact first and second mardárdhas gives the times of the beginning and end of the total darkness (respectively).

english translation

tadvad eva vimardArdhanADikAhInasamyute। nimIlanonmIlanAkhye bhavetAm sakalagrahe॥

hk transliteration by Sanscript

इष्टनाडीविहीनेन स्थित्यर्धेनार्कचन्द्रयोः। भुक्त्यन्तरम् समाहन्यात् षष्ट्याप्ताः कोटिलिप्तिकाः॥

Multiply the diurnal motion of the Moon from the Sun by the (first) Sthityardha diminished by given ghaṭikás and divide the product by 60, the quotient is the Koṭi in minutes (or the perpendicular of the right angled triangle of which the Moon's latitude is the base and the distance between the centres of that which is the coveror and that which is to be covered is the hypothenuse).

english translation

iSTanADIvihInena sthityardhenArkacandrayoH। bhuktyantaram samAhanyAt SaSTyAptAH koTiliptikAH॥

hk transliteration by Sanscript

भानोर् ग्रहे कोटिलिप्ता मध्यस्थित्यर्धसम्गुणाः। स्फुटस्थित्यर्धसम्भक्ताः स्फुटाः कोटिकलाः स्मृता॥

In an eclipse of the Sun, the Koti in minutes (above found,) multiplied by the mean Sthityardha and divided by the apparent[1] Sthityardha becomes the Sphuṭa or apparent Koṭi in minutes.

english translation

bhAnor grahe koTiliptA madhyasthityardhasamguNAH। sphuTasthityardhasambhaktAH sphuTAH koTikalAH smRtA॥

hk transliteration by Sanscript

क्षेपो भुजस् तयोर् वर्गयुतेर् मूलम् श्रवस् तु तत् । मानयोगार्धतः प्रोज्झ्य ग्रासस् तात्कालिको भवेत्॥

The Moon's latitude is the Bhuja (or base) and the square-root of the sum of the squares of the Koṭi and Bhuja is the hypothenuse (of the triangle as mentioned before in Śloka 18th). Subtract the hypothenuse from half the sum of the diameters (as stated in Śloka 10th); the remainder will be the quantity of the eclipsed part (of the disc) at the time (at which the Koṭi and Bhuja are ascertained).

english translation

kSepo bhujas tayor vargayuter mUlam zravas tu tat । mAnayogArdhataH projjhya grAsas tAtkAliko bhavet॥

hk transliteration by Sanscript