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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 1 · Basics and Panchanga
ज्योतिषमूलं पञ्चाङ्गं च
त्रिभद्युकर्णार्द्धगुणा स्वाहोरात्रार्द्धभाजिताः ।क्रमादेकद्वित्रिभाज्या तच्चापानि पृथक्पृथक् ॥ १४५ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 54, verse 145.
Take the sines of one, two and three signs, in order. Multiply each by the day-radius of three signs. Divide by its own day-radius. Take their arcs, one by one.
Simple meaning: A sine rule gives the equator rising points of the first three signs.
स्वाधोधः प्रविशोध्याथ मेषाल्लंकोदयासवः ।
At the equator Aries rises in 1670 asus, Taurus in 1795, Gemini in 1935.
स्वदेशचरखंडोना भवंतीष्टोदयासवः ।
Take off the latitude parts to get local rising times. Cancer, Leo and Virgo add them back in reverse.
उत्क्रमेण षडेवैते भवंतीष्टास्तुलादयः ।
Libra onward use the same six figures in reverse. Work out the gone and coming parts from the Sun.