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 266
A ABD :: base CA : base AD, [VL 1. and A ADE : AADB :: base EA : base AB ; [VL L .-. CA: AD ::EA : AB. [V. IL Conversely, let the /_BAC = the Z.DAE,and let CA be to AD as EA to AB :the triangles ABC, ADE shall be equal in area. For, the same construction being made,because CA : AD :: EA : AB,… … BOOK VT. 16. 255 Proposition 16. Thkorem. If fmir straight lines he proportionals^ the rectangle contained hythe extremes is eqiutl to the rectangle contained hy the means. Conversely, if the rectangle contained hy the extremes he equal tothe rectangle contained hy the means, the four straight…
Euclid's Elements · Geometry · Mathematics, Greek
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