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 157
But the segment BAEC is greater than a semicircle, andtherefore the z.BAC = the Z.BEC, by Case I..-. the whole z.BAD = the whole Z.BED. [Axiom 2, Wherefore, the angles in the same segment^ etc. [q.e.d. Converse of Proposition 21. The vertices of equal angles, standing on the same base and on the… … Let two of the angles be ABC and DBC.Describe a circle about ABC. [This may be done by Prop. 5 of Book IV., which the student is now[recommended to read.] If this circle do not pass through D, let it cut BD in E, and join EC.t^Then zBEC = zBAC, by the preceding proposition,= L BDC, by…
Euclid's Elements · Geometry · Mathematics, Greek
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