The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 199
, M, N be any three points on the sides BC, CA, AB of atriangle, prove that the circles which circumscribe the triangles MAN,NBL, LCM meet in a point. BOOK IV. 6. 187 Proposition 6. Problem. To inscribe a square in a given circle. Let ABCD be the given circle :it is required to inscribe a square in… … [1.4. Proof. In the two triangles BEA, DEA, {BE =: DE, being radii,and AE is common,and the right ^BEA = the right z_DEA..-. the base BA = the base DA.Similarly, BC, DC each = BA, or DA; .*. the figure ABCD is equilateral.Also, BD being a diameter of the circle ABCD,BAD is a semicircle ;.*. the…
Euclid's Elements · Geometry · Mathematics, Greek
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