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 69
e circle; and that it touches it only in onepoint, because, if it did meet the circle in two, it would fall with-in it (2. 3.). Also it is evident that there can be but one straightline which touches the circle in the same point. PROP. XVII. PROB. To draw a straight line from a given point, either… … BOOK III. THE ELEMENTS OF EUCLID. 67 Find (1. 3.) the centre E of the circle, and join AE; and fromthe centre E, at the distance EA, describe the circle AFG; fromthe point D draw (11. 1.) DF at right angles to EA, and join EBF,AB. AB touches the circle BCD. Because E is the centre of thecircles…
Mathematics, Greek · Geometry · Trigonometry
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