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 134
ight lines, and only two, which are equal to one another,one on each side of the shortest line. Let ABCD be a circle and AD its diameter, in which let any point F be taken which is not the centre; let E be the centre: of all the straight lines FB, FC, FGr, etc., that can be drawn from F to the… … Construction. Join BE, CE, GE. Proof. (1) Because any two sides of a triangle are togethergreater than the third side, [I. 20. therefore BE, EF are together greater than BF. But BE = AE ; [I. Definition 15. .. AE, EF are together greater than BF, that is, AF is greater than BF. Similarly it can be…
Euclid's Elements · Geometry · Mathematics, Greek
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