The declination, corrected by the calculated true latitude of the house as refined by the visibility correction, becomes true. || 3

Calculation: 8 4 Likely a reference to a specific verse or parameter

When the instrument is thus positioned, the visibility correction occurs in the meridian; this is the meaning. The value is 3.

The square root of the difference between the square of the Bhujā (base/sine) and the square of the Karṇa (hypotenuse) or the square of the shadow is the Koṭi (perpendicular/cosine) = 4.

One should place the Bhujā (base) in front of the Koṭi (perpendicular) according to the direction of the sine = 3.

18 Sum or difference

Then, by subtracting the days etc., the degrees of the base are found.

The correction for both day and night arises from the difference in the parts of the instrument latitude from the circle of declination. From that, the degrees of the base etc. in their respective directions are determined. 27 Evenly.

Similarly

At the center of the degrees

When multiplied by the earth, the parts of the fourth instrument follow the direction of the center of the degrees. Having released the heavy weight shadow located at the center.

They are located in the instrument toward the directions of the shadow etc. 28 The true declination is multiplied by the desired hypotenuse and divided by the Hṛnmanthini (a specific divisor) 700 original: "kha-kha-adri" - numerical notation where kha=0, kha=0, adri=7.

Multiply the desired altitude by ninety... The text here describes a complex geometric derivation ...that becomes the true declination. Again, it should be multiplied by the hypotenuse of the equinoctial shadow, then the result of that calculation becomes the base. The true declination is like a point born from the meridian... because of the nature of the Meru (pole), the shadow is taken by the half-diameter... then from the center of the western hemisphere, one should place the perpendicular facing west; in the eastern hemisphere, facing east = 3.

Earth-latitude

Sum or difference

Base

The base in the direction of the heart becomes true when corrected by the measure of that direction. Subtract the square of the shadow's measure...

15 Directions

...and the square root is the perpendicular. 29 Knowing this, if the planet is in the east, the perpendicular is west-facing; if the planet is in the west, the perpendicular is east-facing. From the center, the base is the sine of the altitude in its own direction; place the shadow in the middle. If the shadow's tip is at the head of the observer, the scholar should look at the planet through the tube on the string.

Looking in the water

Gnomon shadow

The wise man should observe the planet through the tube on the string when it reaches the tip of the human figure's shadow. 30 Thus ends the third chapter of the Secret of the Siddhāntas composed by Śrī Devajña,

Regarding the construction of the sighting tube and the means of calculating the shadow and instrument parts for the Ascendant etc. 3

Between the base and the perpendicular, one should place a transverse wire; that is the hypotenuse. Thus a triangle is formed. A gnomon should be placed at the tip of the shadow. From the center of the point at its top, when the three strings are fixed, one should look at the planet in the sky through the tube attached to the string, following the line of the shadow. Alternatively, if one looks in the water, a central gnomon should be placed. Bring the center to the tip of the shadow; the tube should be placed on that string. A vessel of water should be placed at the position of the shadow's tip. One should look at the reflection of the planet in the water through the middle of the tube. This method is to be learned from a teacher. || 3