Surya Siddhanta

Progress:43.3%

x

लिप्तास् तत्त्वयमैर् भक्ता *लब्धम् ज्यापिण्डिकम् गताम् । (C लब्धा ज्यापिण्डिका गताः) गतगम्यान्तराभ्यस्तम् विभजेत् तत्त्वलोचनैः॥(२२५)

(Reduce the given degrees &c., to minutes.) Divide the minutes by 225: and the sine (in S'lokas 17—22) corresponding to the quotient is called the gata (the past) sine, (and the next sine is called the gamya to be past sine): multiply (the remainder in the said division) by the difference between the gata and gamya sine and divide the product by 225.

english translation

liptAs tattvayamair bhaktA *labdham jyApiNDikam gatAm । (C labdhA jyApiNDikA gatAH) gatagamyAntarAbhyastam vibhajet tattvalocanaiH॥(225)

hk transliteration by Sanscript

तदवाप्तफलम् योज्यम् ज्यापिण्डे *गतसम्ज्ञके ।(C गतसम्ज्ञिते) स्यात् क्रमज्याविधिर् अयम् उत्क्रमज्यास्व् अपि स्मृतः॥

Add the quotient to the sine past: (the sum will be the sine required). This is the Rule for finding the right sines (of the given degrees &c.) In the same way, the versed sines (of the given degrees &c.) can be found.

english translation

tadavAptaphalam yojyam jyApiNDe *gatasamjJake ।(C gatasamjJite) syAt kramajyAvidhir ayam utkramajyAsv api smRtaH॥

hk transliteration by Sanscript

ज्याम् *प्रोज्झ्य शेषम् तत्त्वाश्विहतम् तद्विवरोद्धृतम् । (C प्रोज्झ्यान्यत्तत्त्वयमैर् हत्वा)(२२५) सम्ख्यातत्त्वाश्विसम्वर्गे *सम्योज्य धनुर् उच्यते ॥(C सम्योज्यम्) (२२५)

Subtract the (next less) sine (from the given sine); multiply the remainder by 225 and divide the product by the difference (between the next less and greater sines): add the quotient to the product of 225, and that number (which corresponds to the next less sine); the sum will be (the number of minutes contained in) the arc (required).

english translation

jyAm *projjhya zeSam tattvAzvihatam tadvivaroddhRtam । (C projjhyAnyattattvayamair hatvA)(225) samkhyAtattvAzvisamvarge *samyojya dhanur ucyate ॥(C samyojyam) (225)

hk transliteration by Sanscript

रवेर् मन्दपरिध्यम्शा मनवः शीतगो रदाः। (१४, ३२) युग्मान्ते विषमान्ते तु नखलिप्तोनितास् तयोः॥

There are fourteen degrees (of the concentric) in the periphery of the Manda or first epicycle of the Sun, and thirty-two degrees (in the periphery of the 1st epicycle) of the Moon, when these epicycles are described at the end of an even quadrant (of the concentric or on the Line of the Apsides.) But when they are described at the end of an odd quadrant (of the concentric, or on the diameter of the concentric perpendicular to the Line of the Apsides) the degrees in both are diminished by twenty minutes; (then the degrees in the periphery of the Sun's epicycle=13° 40′ and in that of the Moon's=31° 40′.)

english translation

raver mandaparidhyamzA manavaH zItago radAH। (14, 32) yugmAnte viSamAnte tu nakhaliptonitAs tayoH॥

hk transliteration by Sanscript

युग्मान्ते +अर्थाद्रयः *खाग्निसुराः सूर्या नवार्णवाः । (C खाग्निः सुरास्)(७५, ३०, ३३, १२, ४९) ओजे द्व्यगा वसुयमा रदा रुद्रा गजाब्दयः॥

There are 75, 30, 33, 12 and 49, (degrees of the concentric in the peripheries of the first epicycles of Mars, Mercury, Jupiter, Venus and Saturn respectively) at the end of an even quadrant (of the concentric, but) at the end of an odd quadrant, there are 72, 28, 32, 11, 48 (degrees of the concentric.)

english translation

yugmAnte +arthAdrayaH *khAgnisurAH sUryA navArNavAH । (C khAgniH surAs)(75, 30, 33, 12, 49) oje dvyagA vasuyamA radA rudrA gajAbdayaH॥

hk transliteration by Sanscript