Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 106
c : FG + GN±Nl &c. : : AL : FM. BOOK I V . 105 Proportions of Polygons. THEOREM XXIII. Similai polygons inscribed in circles are to each other as thesquares of the diameters of the circles. Let ABODE, FGNIK, *ji> Uso polygons inscribedin the circles whose diam-eters are AL and FM:then will… … But, by the last theorem, AB : FGtherefore (Bk III. Th. xiii), FG1 AL AL* FM FM FGNIK AL FM\ ABconsequently, ABODE Sch. If any regular polygon,ABDEFG,be inscribed in a ciicle,and then the arcs AB, BE, &c, bebisected, and lines be drawn throughthese points of bisection, a new poly-gon will be…
Geometry · Plane trigonometry
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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-24-10.webp)
