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 290
f right angles. 278 EUCLIDS ELEMENTS. Proposition B. Theorem. _^ If the vertical angle of a triangle he bisected hj a straight linewhich also cuts the base, the rectangle contained by the sides ofthe triangle is equal to the rectangle contained by the segments ofthe base, together ivith the square… … \ Construction. Describe the circle ACB about the triangle; [IV. 5.produce AD to meet the circumference at E, and join EC. Proof. Because the ^BAD = the ^EAC, [Hypothesis. and the z.ABD = the Z.AEC, in the same segment. [III. 21..*. the A BAD is equiangular to the AEAC;.-. BA: AD ::EA : AC; [VL 4.…
Euclid's Elements · Geometry · Mathematics, Greek
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