Treatise on the Sun

5 5 Nine

...five, eight, and the twins original: "pancāṣṭakayamā" — 2, 8, 5, referring to the sine values, then the Vasus, eight, the numerals, and the twins; then the hands, eight, the earth, the fires, the mountains, the mountains, the moon, and the fires (20). These verses use the "Bhutasankhya" system, where words like "mountain" represent 7 and "moon" represents 1 to encode numerical data into poetry.
...the twins, five, the eyes, and the qualities; the moon, the eyes, the fires, and the fires; the twins, the mountains, the fires, the fires, the voids, the fires, the fires, and the fires (21).
...the form, the fires, the oceans, and the qualities; the Vasus, the transformed ones, and the fires. In the order of the sines original: "kramajyā" and the sines of the radius vyāsārddha-kramajyā, these are the collected half-chords arddhapiṇḍakāḥ (22).
...the sages, the voids, the twins, the flavors, the flavors, and the great sages; the void, the one, the form, the six, and the chariots; the oceans, the targets, and the fire-gods (23).
...the sky, the seasons, the Vedas, and the horses; the elephants, the half-elephants; the mountains, the atmosphere, the void, and the moon; the form, the mountains, and the hands (24).
...the arrows, the qualities, the fires, and the one; the serpents, the beginning, the arrows, and the moon; the nine, the form, the earth, and the one; the elephants, the one, the one, and the moon (25).
...the qualities, the fires, the form, and the eyes; the fires, the fires, the qualities, and the horses; the Vasus, the oceans, the objects, and the twins; the horses, the sages, the earth, and the horses (26).
...the nine, the eight, the nine, and the eyes; the fires, the one, the twins, and the fires.

The half-chord sine segments for the Versine utkramajyā are calculated from the fires, the fires, the oceans, and the qualities (37). The maximum sine parama-kramajyā the Radius is seven, the voids, the three, and the oceans original: "sapta-randhra-guṇa-udadhi" — encoding 3438, or 3438. From that, the sine is obtained...

Table of Sines (Kramajya)

The middle row shows the cumulative Sine values for every 3° 45'. The bottom row shows the differences between each value, which decrease as the curve of the circle flattens.

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Table of Versines (Utkramajya)

The Versine (1 - cosine) values represent the "height" of the arc. Note that the final values in this transcription contain some scribal or OCR variations compared to the standard 3438 radius.

The sine which is equal to the radius trijyā is proclaimed as the maximum sine. By using that, the result of the desired sine of the arc iṣṭadoṛjyā is obtained. The desired Cosine iṣṭakoṭijyā = 1 This likely refers to a specific calculation step where the cosine of a 0-degree angle or a specific arc is unity.

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