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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826) Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 54
raightline which is made up of the half and the part produced. Let the straight line AB be bisected in C,and produced to the pointD; tbe rectangle AD.DB, together with the square of CB, is equal t©the square of CD. Upon CD describe (46. i.) the square CEFD,ioinDE,and throughB draw (31.4 ) FHG… … to CH; M CH is equal (43.1.)to HF; therefore also AL is equal \to HF: To each of these addCM; therefore the whole AM isequal to the gnomon ClViC NowA.M=AD.l)M=AO;DB.beeauseDM=DB. Therefore gnomonCMG=AD.DB, and CMG+LG^AD.DB+CB2. But CMG-fLG=CF=CD% therefore AD.DB + CB^ = CD. Therefore,if a straight… Euclid's Elements · Geometry · Trigonometry
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