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 50
is equal to the gnomon AOH. To each of these add XH, whichis equal (Cor. 4. 2.) to the square of AC: therefore four times therectangle AB, BC, together with the square of AC, is equal tothe gnomon AOH and the square XH: but the gnomon AOHand XH make up the figure AEFD, which is the square of… … 48 THE ELEMENTS OF EUCLID. BOOK II. PROP. IX. THEOR. If a straight line be divided into two equal, and alsointo two unequal parts; the squares of the two unequalparts are together double of the square of half the line,and of the square of the line between the points of sec-tion. Let the straight…
Mathematics, Greek · Geometry · Trigonometry
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