पदसिद्ध्यै पदे कुर्यादथोरवं सर्वतश्च रवम्
For the accomplishment of the step, one should produce a sound at each step and also a sound everywhere.
ऋणं स्वं स्वमृणं कुर्यादृश्ये राशिप्रसिद्धये
One should make one's own debt and the debt of oneself visible, for the attainment of the sign in the zodiac.
अंशस्त्वविकृतस्तत्र विलोमे शेषमुक्तवत्
The portion here remains unchanged; in the reverse, the remainder is as previously stated.
इष्टघ्नदृष्टेनैतेन भक्तराशिरनीशितः
By multiplying the desired with the observed, the quotient of the zodiac is obtained, not the unassigned.
राश्यन्तरहृतं वर्गोत्तरं योसुतश्च तौ
The difference between the zodiac signs is the surplus of the group; the one who is born, those two.
एको ऽस्य वर्गो दलितः सैको राशिः परो मतः
One group of this is divided; thus, one zodiac sign is considered superior.
वर्गयोगान्तरे व्येके राश्योर्वर्गोस्त एतयोः
In another union of groups, the single ones are the zodiac signs and the groups of these two.
एषीस्यानामुभे व्यक्ते गणिते व्यक्तमेव च
Both of the seekers are manifest, and in calculation only the manifest is considered.
दृष्टस्य च गुणार्द्धो न युतं वर्गीकृतं गुणः
Half of the product of the observed is not added; the product made into a group is the multiplier.
भक्तं तथा मूलगुणं ताभ्यां साध्योथ व्यक्तवत्
Similarly, the root multiplier divided by those two is achieved, just as with the manifest.
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.