 If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another...  Euclid's Elements of Geometry - Page 248edited by - 1893 - 504 pagesFull view - About this book
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...and let (7-4, DB be two chords, which intersect, when produced beyond A and B, at the point E without the circle : ' it is required to prove that the rectangle contained by EA, EC is equal to the rectangle contained by EB, ED. CONSTRUCTION. Find O the centre ; (Prop. 5.)... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...other. For in the circle ABCD let the two straight lines AC, BD cut one another at the point E ; I say that the rectangle contained by AE, EC is equal to the rectangle contained by DE, EB. If now AC, BD are through the centre, so that E is the centre of the circle ABCD, it is manifest... | |
 | Euclid - 452 pages
...other. For in the circle ABCD let the two straight lines AC, BD cut one another at the point E ; I say that the rectangle contained by AE, EC is equal to the rectangle contained by DE, EB. If now AC, BD are through the centre, so that E is the centre of the circle ABCD, it is manifest... | |
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