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 248
shallhave the same ratio which the other sides of the triangle have to oneanother. Conversely, if the segments of the base produced have the sameratio which the other sides of the triangle have to one another, thestraight line drawn from the vertex to the point of section shallbisect the exterior… … Construction. Through C draw CF parallel to AD, [I. 31.meeting AB at F. Proof, (i.) Because AC meets the parallels CF, AD,the z. CAD = the alternate z-ACF,and the exterior z_DAE = the interior opposite ^AFC ; [I. 29.But the Z.CAD = the Z_DAE; [Construction. .. the z.ACF = the ^AFC, and AF = AC. [L…
Euclid's Elements · Geometry · Mathematics, Greek
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