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 202
, Cor. 1. Wherefore a circle has been inscribed in the given square, [q.e.f. EXERCISE. Prove the following alternative construction: Draw the diagonals ACand BD, and let them meet in 0 ; dy^aw OP, OQ, OR, OS perpendicidarto the sides ; the required circle has its centre at O and its radius equal… … Construction. Join AC, BD, cutting one another at E. Proof. In the triangles BAC, DAC,rAB:^AD,because i and AC is common, land the base BC = the base DC ; .-. the ^BAC = the ^DAC, [L 8. that is, the ^BAD is bisected by AC.Similarly, the other angles of the square are bisected byBD or AC. Then,…
Euclid's Elements · Geometry · Mathematics, Greek
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