[Section on True Motion] Laghumanasa

...should be added. When there is not even one sign A 'sign' or rāśi equals 30 degrees but only some degrees and minutes, then one should multiply the minutes by eight, convert them into degrees by dividing by sixty, and add them to the degree place. Similarly, convert the degrees into signs by dividing by sixty. In that case, the values in the sign-place become degrees; the values in the degree-place become minutes; and the values in the minute-place become seconds.

In this way, when the sum of the signs multiplied by four, three, and one is made, whatever degrees exist, that many minutes should be added to the minutes. Whatever minutes were previously present, that many seconds should be added to the seconds. When this is done, the resulting degrees and so on become the Sine of the Bhuja The arc of the quadrant; the sine of the anomaly. The same applies to the Koti The complement of the arc; the cosine. Having calculated the sum of the signs multiplied by four, three, and one, one should add minutes equal to the degrees and seconds equal to the minutes. These become the Cosine values.

The meaning of the phrase "minutes are the circles" is this: the signs converted into minutes and multiplied by four, three, and one result in values that should be taken as degrees and minutes in the form of a Sine. The fractional parts starting with degrees should always be multiplied by the multiplier of two-cubed original: "dvighanena" (by 8) because the values in the sign-place are of the nature of degrees. Thus, having separately derived the Sines of the Bhuja and Koti, one should keep them together. || 2 ||

Now, for the sake of bringing forth the Mandaphala The equation of center; the correction for the planet's elliptical orbit, he speaks of the divisors and their refinement: "The Sun," etc. For the Sun, the divisors are Jinashvinah (224) A chronogram: Jina (24) + Ashvin (2) = 224. For the Moon, Agangah (97) Aga (7) + Anga (9) = 97. For Mars, Sharavedah (45) Shara (5) + Veda (4) = 45. For Mercury, Khakhendavah (100) Kha (0) + Kha (0) + Indu (1) = 100. For Jupiter, Dvaryangah (92) Dvi (2) + Anga (9) = 92. For Venus, Khadantah (320) Kha (0) + Danta (32) = 320. For Saturn, Trirasah (63) Tri (3) + Rasa (6) = 63.

These become "refined" when adjusted by half the Cosine. This is what is said: having placed the mean position of the planets starting with the Sun, subtract their own Mandocca Apogee or perihelion point. From the remainder, derive the Sine (Bhujajya) and Cosine (Kotijya) by the previously mentioned method and place them together. Then, take the Cosine separately, halve it, and add or subtract it from its own divisor (224, etc.). If the Cosine is positive, add it; if negative, subtract it. That becomes the "refined divisor" (sphuta-cheda).

Then, take the Sine (in degrees), convert it into minutes, and divide it by the refined divisor. Take the resulting degrees, and from the remainder, multiply by sixty and divide by the refined divisor to get the minutes. These degrees and minutes should be applied to the mean planet. If the Bhuja is negative, subtract; if positive, add. That results in the Mandasphuta The planet corrected for the first inequality planet. || 3 ||

1. Variant: nyangah. 2. Variant: shtan sha. 3. Variant: shtanan sphu. 4. Variant: denaiva vi.