“For the heptagon समवाहुक सप्तभुजः describe a circle, and an equilateral heptagon in it, then a line being drawn between the भुजाग्ररेखा extremities of any two sides—at pleasure, and three lines from the centre of the circle वृत्तान्तर्गत केन्द्रं to the angles indicated by those extremities भुजाग्रचिन्हित कोणं, an unequal quadrilateral विषम चतुर्भुजं is formed. The greater sides and the least diagonal क्षुद्रतरकर्णं thereof are equal to the semi-diameter व्यसार्द्धतुल्यं”. The value of the greater diagonal, which is assumed arbitrarily, is the chord of the arc चाप​स्य पूर्णज्या encompassing the two sides. Its arrow शरः being deduced in the manner before directed, is the side of a small rectangular triangle एकजात्य त्रिभुजं । Thus the greater diagonal बृहत्तरकर्णं, being arbitrarily assumed to be 93,804, is the chord sought इष्टज्याः; its arrow found in the manner directed is 22,579; this is the side, and half the base or chord जीवारूप भूम्यर्द्ध​ कोटि is the upright 46,902; their squares are 509711241 and 21997604; the square root of the sum of which is the side वर्गमूलं of the heptagon or 52,055 योगमूलं । These numbers are given from the copy of Súryadása’s commentary on the Lílávatí in the library of the As. Society. There are two obvious errors in them, probably of the copyist लिपिकर प्रमादः; _viz._ 22,579 should be 22.581, and 21997604 should be 2199797604. NOTE TO FIG. 9. To inscribe a nonagon in a circle, वृत्तान्तर्गत नवभुजं i. e., to divide it into nine parts. “A circle being described as before, inscribe a triangle वृत्तान्तर्गत त्रिभुजं in it. Thus the circle is divided into three parts. Three equal chords समान पूर्णज्या being drawn in each of these portions, a nonagon is thus inscribed in it वृत्तस्य नव भुजक्षेत्रं; and three oblongs वृत्तस्य चतुर्भुज क्षेत्रं are formed within the same; of which the base is equal to the side of the (inscribed) triangle भूमिवृत्तस्य त्रिभुजभुजतुल्यं । Then two perpendiculars लम्बपातद्वयं being drawn in the oblong, it is divided into three portions, the first and last of which are triangles परपूर्ब्बांश त्रिभुजं; and the intermediate one is a tetragon. मध्यांश चतुर्भुजं । The base in each of them is a third part of the side of the inscribed triangle त्रिभुजवाहोस्त्रितीयांशः(?). It is the upright (of a rectangular triangle) जात्यत्रिभुजकोटि; the perpendicular is its side; and the square root of the sum of their squares भुजकोटिवर्गयोगमूलं is the hypotenuse कर्णः, and is the side of the nonagon नवभुजं.