Surya Siddhanta
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गतभोग्यासवः कार्या भास्कराद् इष्टकालिकात् । स्वोदयासुहता भुक्तभोग्या भक्ताः खवह्निभिः॥
From the given time in Práṇas (at the end of which the Horoscope is to be found) subtract the Bhogya time in Práṇas and the rising periods of the next signs (to that in which the Sun is, as long as you can, then at last, you will find the sign, the rising period of which being greater than the remainder you will not be able to subtract, and which is consequently called the aśuddha sign or the sign incapable of being subtracted, and its rising period the aśuddha rising). Multiply the remainder thus found by 30 and divide the product by the aśuddha rising period: add the quotient, in degrees, to the preceding signs (to the aśuddha sign) reckoned from Aries: (and to the sum apply the amount of the precession of the equinoxes by subtraction or addition according as it will be additive or subtractive); the result, (thus found), will be the place of the Horoscope[1] at the eastern horizon. [1. Thus there are two processes for finding the Horoscope, one when the given time is after sun-rise and the other when it is before sun-rise, and which are consequently called Krama or direct and Vyúlkrama or indirect processes respectively. B. D.]
english translation
gatabhogyAsavaH kAryA bhAskarAd iSTakAlikAt । svodayAsuhatA bhuktabhogyA bhaktAH khavahnibhiH॥
hk transliteration by Sanscriptअभीष्टघटिकासुभ्यो भोग्यासून् प्रविशोधयेत्। तद्वत् तदेष्यलग्नासून् एवम् यातात् तथोत्क्रमात्॥
If the time at the end of which the Horoscope is to be found, be given before sun-rise, then take the Bhukta time (above found) and the rising periods of the preceding signs, to that which is occupied by the Sun) in a contrary order from the given time; multiply the remainder by 30 and divide the product by the aśuddha rising period; subtract the quotient, in degrees, from the signs (reckoned from Aries to the aśuddha sign inclusive); the remainder (inversely applied with the amount of the precession of the equinoxes) will be the place of the Horoscope at the eastern horizon.
english translation
abhISTaghaTikAsubhyo bhogyAsUn pravizodhayet। tadvat tadeSyalagnAsUn evam yAtAt tathotkramAt॥
hk transliteration by Sanscriptशेषम् चेत् त्रिम्शताभ्यस्तम् अशुद्धेन विभाजितम् । भागैर् युक्तम् च हीनम् च तल्लग्नम् क्षितिजे तदा॥(C भागहीनम् च युक्तम् च)
From the time, in ghaṭikas, from noon, before or after, the Sun's place found at the given time, and the rising periods of the signs ascertained for the equator, find the arc, in signs, degrees, &c, (intercepted between the Sun and the meridian at the given place) subtract or add the signs &c. (just found) from or to the Sun's place (according as the given time is before or after noon); the result will be the place of the culminating point of the ecliptic (at the given time).
english translation
zeSam cet trimzatAbhyastam azuddhena vibhAjitam । bhAgair yuktam ca hInam ca tallagnam kSitije tadA॥(C bhAgahInam ca yuktam ca)
hk transliteration by Sanscriptप्राक्पश्चान् नतनाडीभिस् तस्माल् लङ्कोदयासुभिः। भानौ क्षयधने कृत्वा मध्यलग्नम् तदा भवेत् ॥
(Of the given place of the Horoscope and that of the Sun), find the Bhogya time in Práṇas, of the less and the Bhukta time, in Práṇas of the greater, add together these times and the rising periods of the intermediate signs (between those which are occupied by the Sun and the Horoscope); and you will find the time (from sun-rise at the end of which the given place of the Horoscope is just rising in the eastern horizon).
english translation
prAkpazcAn natanADIbhis tasmAl laGkodayAsubhiH। bhAnau kSayadhane kRtvA madhyalagnam tadA bhavet ॥
hk transliteration by Sanscriptभोग्यासून् ऊनकस्याथ भुक्तासून् अधिकस्य च ।सम्पीण्ड्यान्तरलग्नासून् एवम् स्यात् कालसाधनम् ॥
When the given place of the Horoscope is less than that of the Sun, the time (above found) will be before sun-rise, but when it is greater, the time will be after sun-rise.
english translation
bhogyAsUn UnakasyAtha bhuktAsUn adhikasya ca ।sampINDyAntaralagnAsUn evam syAt kAlasAdhanam ॥
hk transliteration by Sanscript