Surya Siddhanta
Progress:88.4%
सार्धानि षट्सहस्राणि योजनानि विवस्वतः। विष्कम्भो मण्डलस्येन्दोः सहाशीत्या चतुश्शतम् ॥
The diameter of the Sun's orb is 6,500 yojanas and that of the Moon's is 480 yojanas.
english translation
sArdhAni SaTsahasrANi yojanAni vivasvataH। viSkambho maNDalasyendoH sahAzItyA catuzzatam ॥
hk transliteration by Sanscriptस्फुटस्वभुक्त्या गुणितौ मध्यभुक्त्योद्धृतौ स्फुटौ। रवेः स्वभगणाभ्यस्तः शशाङ्कभगणोद्धृतः॥
The diameters of the Sun and Moon multiplied by their true diurnal motions and divided by (their) mean diurnal motions become the sphuta or rectified diameters.
english translation
sphuTasvabhuktyA guNitau madhyabhuktyoddhRtau sphuTau। raveH svabhagaNAbhyastaH zazAGkabhagaNoddhRtaH॥
hk transliteration by Sanscriptशशाङ्ककक्षागुणितो भाजितो वा +अर्ककक्षया । विष्कम्भश् चन्द्रकक्षायाम् तिथ्याप्ता मानलिप्तिका॥
The rectified diameter of the Sun multiplied by his revolutions (in a Kalpa) and divided by the Moon's revolutions (in that cycle), or multiplied by the periphery of the Moon's orbit and divided by that of the Sun, becomes the diameter of the Sun at the Moon's orbit. Tbe diameter of the Sun at the Moon's orbit and the Moon's rectified diameter divided by 15, give the numbers of minutes contained in the diameters (of the discs of the Sun and the Moon respectively).
english translation
zazAGkakakSAguNito bhAjito vA +arkakakSayA । viSkambhaz candrakakSAyAm tithyAptA mAnaliptikA॥
hk transliteration by Sanscriptस्फुटेन्दुभुक्तिर् भूव्यासगुणिता मध्ययोद्धृता । लब्धम् सूची महीव्यासस्फुटार्कश्रवणान्तरम्॥
Multiply the true diurnal motion of the Moon by the Earth's diameter (or 1,600) and divide the product by her mean diurnal motion; the quantity obtained is called the Súchí. Multiply the difference between the Earth's diameter and the rectified diameter of the Sun . -
english translation
sphuTendubhuktir bhUvyAsaguNitA madhyayoddhRtA । labdham sUcI mahIvyAsasphuTArkazravaNAntaram॥
hk transliteration by Sanscriptमध्येन्दुव्यासगुणितम् मध्यार्कव्यासभाजितम् । विशोध्य लब्धम् सूच्याम् तु तमो लिप्तास् तु पूर्ववत् ॥
- by the mean diameter of the Moon (or 480) and divide the product by that of the Sun (or 6,500); subtract the quotient from the Súchí the remainder will be the diameter (in yojanas) of the Earth's shadow (at the moon); reduce it to minutes as mentioned before (i. e. by dividing it by 15).
english translation
madhyenduvyAsaguNitam madhyArkavyAsabhAjitam । vizodhya labdham sUcyAm tu tamo liptAs tu pUrvavat ॥
hk transliteration by Sanscript