The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 53
he figureFK is the rectangle contained by CF, FA,for AF is equal to FG; and AD is thesquare of AB; therefore FK is equal to AD: Etake away the common part AK, and the re-mainder FH is equal to the remainder HI),and FID is the rectangle contained by AB,BH, for AB is equal to BD; and FH is the C K D… … l?OOK IT. THE ELEMENTS OF EUCLID. 51 PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular bedrawn from any of the acute angles to the oppositeside produced, the square of the side subtending theobtuse angle is greater than the squares of the sidescontaining the obtuse angle, by twice…
Mathematics, Greek · Geometry · Trigonometry
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