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 164
hat the point A may be on the point C, and ABon CD, then B will coincide with D, because AB = CD ; {.Hyp, ,\ AB coinciding with CD, the segment AEB must coincidewith the segment CFD, [III. 23. and is therefore equal to it. Wherefore, similar segments^ etc, [q.e.d. 152 EUCLIDS ELEMENTS. Proposition… … Construction. Bisect AC at D ; [1, 10.from D draw DB at right angles to AC to meet the cir-cumference in B, [I. 11.and join AB. Case L Let the angles ABD, BAD be equal [Fig 1]. Then DB = DA; [L 6. but DA = DC; [Construction. therefore DB = DC. [Axiom I. .*. DA, DB, DC are all equal, and therefore D…
Euclid's Elements · Geometry · Mathematics, Greek
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