इच्छघ्नमाद्यहृत्सेष्टं फलं व्यस्ते विपर्ययात्
The desired multiplied by the first taken remainder is the result, separated by the reverse.
बहुराशिवधं भक्ते फलं स्वल्पवधेन च
The result of division by many zodiac signs, and also by division with a small number.
मानघ्नकालश्चातीतकालाघ्नफलसंहृताः
The time multiplied by the measure, and the result taken by multiplying the elapsed time.
बहुराशिपलात्स्वल्पराशिमासफलं बहु
From the result of many zodiac signs, the fruit of a few zodiac months is abundant.
क्षेपा मिश्रहताः क्षेपोयोगभक्ताः फलानि च
The throws mixed and struck, the throws divided by the union, and also the results.
पूर्णोगच्छेत्समेध्यव्येसमेवर्गोर्द्धितेत्यतः
The full one proceeds, the same for the excellent, and the same for the group’s increase, thus.
व्येकं व्येकगुणाप्तं च प्राध्नं मानं गुणोत्तरे
The single one, the product of the single one, and the principal measure in the superior multiplier.
श्रुतिकृत्यन्तरपद कोटिर्दोः कर्णवर्गयोः
The step of another action of hearing, the summit, and the fault of the ear and the group.
राश्योरन्तरवर्गेण द्विघ्ने घाते युते तयोः
By multiplying the difference between the two signs by two, and adding the product to their sum,
व्यास आकृतिसंक्षण्णोव्यासास्यात्परिधिर्मुने
the diameter, O sage, is said to be the result of the square root of that sum.
व्यासः शरः शरोनाञ्च व्यासाच्छरगुणात्पदम्
The diameter is the arrow; the arrow’s length is derived from the diameter by the rule of the arrow.
व्यासोष्टतेभवेदेवं प्रोक्तं गणितकोविदैः
Thus, the diameter divided by eight is declared by those skilled in mathematics.
तुर्यांशेन शरध्नेनाघेनिनाधं चतुर्गणम्
By multiplying by a fourth part and by the arrow, and then subtracting, one obtains four times the measure.
ज्याङ्घ्रीषुध्नोवृत्तवर्गोबग्धिघ्नव्यासाढ्यमौर्विहृत्
The chord, arrow, and bowstring, together with the circle’s square, when multiplied and divided by the diameter, yield the mean value.
स्थूलमध्यापृवन्नवेधो वृत्ताङ्काशेषभागिकः
The gross, the mean, and the least thickness are determined by dividing the circle’s marks by the respective parts.
वारिव्यासहतं दैर्ध्यंवेधाङ्गुलहतं पुनः
The length obtained by multiplying the diameter by water, and again by the thickness in finger-breadths,
विस्तारायामवेधानांमङ्गुल्योन्यनाडिघ्नाः
The breadth, length, and thickness, when multiplied by each other, yield the measure in finger-breadths.
उत्सेधव्यासदैर्ध्याणामङ्गुल्यान्यस्य नो द्विज
The height, diameter, and length, O twice-born, are measured in finger-breadths, not otherwise.
विस्ताराद्यं गुलान्येवं मिथोघ्नान्यपसांभवेत्
Thus, the breadth and length, when multiplied together, yield the measure in cubits.
दीपशङ्कुतलच्छिद्रघ्नः शङ्कुर्भैवंभवेन्मुने
The lamp, the peg, and the hole, when multiplied together, O sage, yield the measure of the peg.
शङ्कौनृदीपाधश्छिद्रघ्नैर्दीपौच्च्यं नरान्विते
The peg, when multiplied by the lamp and the lower hole, gives the height of the lamp, O wise one.
दीपशङ्क्वन्तरं चाथ च्छायाग्रविवरघ्नभा
Then, the distance between the lamp and the peg, multiplied by the difference at the tip of the shadow,
प्रभाप्ता जायते दीपशिखौच्च्यं स्यात्त्रिराशिकात्
produces the extent of the light; the height of the lamp’s flame is three times the sign.
ग्रहमध्यादिकं वक्ष्ये गणिते नातिविस्तरान्
Now I shall explain the mean position of the planet, without excessive detail, in calculation.
तद्दशांशास्तु चत्वारः कृताख्यं पादमुच्यते
Of these, four tenths are called the 'square' or 'quarter' part.
मनुकृताब्दसहिता युगानामेकसप्ततिः
Seventy-one together with the years of Manu and Krita make up the yugas.
तावत्येव निशा तस्य विप्रेन्द्र परिकीर्तिता
That night, O foremost of Brahmins, has thus been described.
खचरानयनं कार्यमथवेष्टयुगादितः
The movement of the planets should be determined from the beginning of the yuga.
पूजार्किगुरुशुक्राणां भगणापूर्वपापिनाम्
The worship of the Sun, Jupiter, Venus, and the nodes, as well as those who are previously sinful, is to be performed.
दस्रत्र्याष्टरसांकाश्विलोचनानि कुजस्य तु
The eyes of Mars are likened to ten, three, eight, and six forms.