Surya Siddhanta

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लग्नम् पर्वान्तनाडीनाम् कुर्यात् स्वैर् उदयासुभिः।तज्ज्यान्त्यापक्रमज्याघ्नी लम्बज्याप्तोदयाभिधा॥

At the end of the time of conjunction (from sunrise) in ghatikás find the place of the horoscope through the rising periods at a given place (and apply it with the amount of the precession of the equinoxes.) Its sine multiplied by the sine of greatest declination (or sin 24°) and divided by the cosine of latitude gives a quantity called the udayá (or the sine of amplitude of the horoscope).

english translation

lagnam parvAntanADInAm kuryAt svair udayAsubhiH।tajjyAntyApakramajyAghnI lambajyAptodayAbhidhA॥

hk transliteration by Sanscript