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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 1 · Basics and Panchanga
ज्योतिषमूलं पञ्चाङ्गं च
वणिजोभ्रे भवेद्विष्टिः कृष्णभूतापरार्द्धतः ।शकुनिर्नागश्च चतुष्पद किंस्तुघ्नमेव च ॥ १२७ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 54, verse 127.
Then Vanija, then Vishti (bad half of a moon day). From the last half of the dark 14th come Shakuni, Naga, Chatushpada and Kimstughna.
Simple meaning: After Vanija comes Vishti. Four fixed karanas fall from the last half of the dark 14th.
ग्रहोदयाः प्राणहताः खखाष्टैकोद्धता गतिः ।
A planet's own day-and-night length comes from its daily motion and its sign's rising time.
त्रिभद्युकर्णार्द्धगुणा स्वाहोरात्रार्द्धभाजिताः ।
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.