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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 136

An illustration from 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, leaf 136
. For, if they be not equiangu- A lar, make, at the point B of thestraight line AB, the angle ABGequal to the angle DEF; thenit may be proved, as in the firstcase, that BG is equal to BC;but the angle BCG is a rightangle, therefore (5. 1.) the an-gle BGC is also a right angle;whence two of the… … PROP. VIII. THEOR. In a right angled triangle, if a perpendicular bedrawn from the right angle to the base, the triangleson each side of it are similar to the whole triangle, andto one another.* See Note. 134 THE ELEMENTS OF EUCLID. BOOK VI.

Mathematics, Greek · Geometry · Trigonometry

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