Surya Siddhanta

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तत्र सूत्रेण विलिखेच् चापम् बिन्दुत्रयस्पृशा । स पन्था ग्राहकस्योक्ता येनासौ सम्प्रयास्यति॥

There, with a line touching the three points, describe an arc : that is called the path of the eclipsing body, upon which the latter will move forward. [The deflection and the latitude of three points in the continuance of the eclipse having been determined and laid down upon the projection, it is deemed unnecessary to take the same trouble with regard to any other points, these three being sufficient to determine the path of the eclipsing body : accordingly, an arc of a circle is drawn through them, and is regarded as representing that path. The method of describing the arc is the same with that which has already been more than once employed (see above, iii. l'-4, 41-42) : it is explained here with somewhat more fullness than before. Thus, in the figure, I, I", and V are the three extremities of the moon's latitude, at the moments of contact, opposition, and separation, respectively : w<> join IV, V'V, and upon these lines describe fish-figures (see note to iii. 1-5); their two extremities (" mouth " and " tail ") are indi- cated by the intersecting dotted lines in the figure : then, at the point, not included in the figure, where the lines drawn through them meet one another, is the centre of a circle passing through I, I", and V.]

english translation

tatra sUtreNa vilikhec cApam bindutrayaspRzA । sa panthA grAhakasyoktA yenAsau samprayAsyati॥

hk transliteration by Sanscript

ग्राह्यग्राहकयोगार्धात् प्रोज्झ्येष्टग्रासम् आगतम् । अवशिष्टाङ्गुलसमाम् शलाकाम् मध्यबिन्दुतः॥

From half the sum of the eclipsed and eclipsing bodies subtract the amount of obscuration, as calculated for any given time : take a little stick equal to the remainder, in digits, and, from the central point.

english translation

grAhyagrAhakayogArdhAt projjhyeSTagrAsam Agatam । avaziSTAGgulasamAm zalAkAm madhyabindutaH॥

hk transliteration by Sanscript

तयोर् मार्गोन्मुखीम् दद्याद् ग्रासतः प्राग्ग्रहाश्रिताम् । विमुञ्चतो मोक्षदिशि ग्राहकाध्वानम् एव सा॥

Lay it off toward the path upon either side—when the time is before that of greatest obscuration, toward the side of contact; when the obscuration is decreasing, in the direction of separation—and where the stick and the path of the eclipsing body.

english translation

tayor mArgonmukhIm dadyAd grAsataH prAggrahAzritAm । vimuJcato mokSadizi grAhakAdhvAnam eva sA॥

hk transliteration by Sanscript

स्पृशेद् यत्र ततो वृत्तम् ग्राहकार्धेन सम्लिखेत् । तेन ग्राह्यम् यदाक्रान्तम् तत् तमोग्रस्तम् आदिशेत् ॥

Meet one another, from that point describe a circle with a radius equal to half the eclipsing body : whatever of the eclipsed body is included within it, that points out as swallowed up by the darkness (tamas).

english translation

spRzed yatra tato vRttam grAhakArdhena samlikhet । tena grAhyam yadAkrAntam tat tamograstam Adizet ॥

hk transliteration by Sanscript

मानान्तरार्धेन मिताम् शलाकाम् ग्रासदिङ्मुखीम् । निमीलनाख्याम् दद्यात् सा तन्मार्गे यत्र सम्स्पृशेत् ॥

Take a little stick equal to half the difference of the measures (mdna), and lay it off in the direction of contact, calling it the stick of immersion fnimiJana) : where it touches the path.

english translation

mAnAntarArdhena mitAm zalAkAm grAsadiGmukhIm । nimIlanAkhyAm dadyAt sA tanmArge yatra samspRzet ॥

hk transliteration by Sanscript