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 159
ew that AQ and RB when produced meet at aconstant angle. 7. Two circles meet in A and B; through A two chords ACD, ACDare drawn cutting the circles in C, D and C, D; prove that theA ^BCD, BCD are equiangular. BOOK IIT. 22. 147 Proposition 22. Theorem. The opposite angles of any quadrilateral figure… … Construction. Join AC, BD, Proof. The z. CAB = the ^CDB, because they are in thesame segment CDAB; [III. 21. and the z.ACB = the Z.ADB, because they are in the samesegment ADCB; .-. the two angles CAB, ACB together = the whole z_ADC. [Axiom 2.To each of these equals add the ^ABC; .*. the three…
Euclid's Elements · Geometry · Mathematics, Greek
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