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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 428

An illustration from 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, leaf 428
hree straight lines he drawn through the angular points of atriangle to the opposite sides, and meet at the same point, the product of,three segments in order is equal to the product of the other three segments, \ Let ABC be a triangle. From the angular points to the oppositesides let the straight… … B D C Again the A ACD is cut by the transversal EOB ; .-. AO . DB . CE = OD . BC . EA. [Art. 103. .*. by the principles of arithmetic, AF . BC . DO . AO . DB . CE = FB . CD . OA . OD . BC . EA..-. AF.BD.CE=:FB.DC.EA.We have supposed the point 0 to be within the triangle ; if 0 bewithout the…

Euclid's Elements · Geometry · Mathematics, Greek

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