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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 1 · Basics and Panchanga
ज्योतिषमूलं पञ्चाङ्गं च
स्वदेशचरखंडोना भवंतीष्टोदयासवः ।व्यस्ताव्यस्तैर्युतास्तैस्तैः कर्कटाद्यास्ततस्तु यः ॥ १४७ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 54, verse 147.
Take off the charakhandas (parts of the latitude correction) of your own place. These give the rising asus (4-second units) for the wanted place. The three from Cancer use the same figures in reverse order, with the same parts added in reverse.
Simple meaning: 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.
तद्वदेवैष्यलग्नासूनेवं व्याप्तास्तथा क्रमात् ।
Take off the rising times sign by sign. Turn what is left into degrees of the next sign.
भागयुक्तं च हीनं च व्ययनांशं तनुः कुजे ।
Add or take off the degrees and remove the equinox shift to get the rising sign.