Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 48
E(Prop. IX.), and also to its parallelMP. But, since CH is perpendicularto the chord MP, the point H must bethe middle of the arc MHP (Prop.VI.) ; therefore the arcs MH, HP, in-cluded between the parallels AB, DE, are equal. Third, If the two parallels DE, IL, are tangents, the oneat H, the other… … BOOK III. PROPOSITION XI. THEOREM. If two circles cut each other in two pointsj the line which passesthroui^h their centres, will be perpendicular to the chord whichjoins the points of intersection, and will divide it into t^oequal parts. For, let the line AB join the points of intersection. It…
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-75-53.webp)
