Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 176
ut the sphere ; and as thesame can be shown lor every otherpoint of the j)lane FAG, this plane canhave no [)oint btit A common to it and the surface of the sphere ;hence it is a tangent plane (Def. 12.) Scholium, In the same w^ay it may be shown, that twospheres have but one point in common, and… … PROPOSITION IX. LEMMA. If a rerrular semi-pohjgon he revolved about a line passingthrough the centre and the vertices of two x)pposite angles^ thesurface described by its perimeter rtnllbe equal to the axis mul-tiplied by the circumference of the inscribed circle. Let the regular semi-polygon…
Trigonometry · Geometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-188-106.webp)
