| Euclides - Geometry - 1841 - 378 pages
...D. Which was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another in the point E, within the circld ABCD; the rectangle... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...cut off from the given circle ABC containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
| Euclides - 1842 - 316 pages
...off from the given circle ABC, containing an angle equal to the given angle DQEF PEOP. XXXV. THEOR. IF two straight lines within a circle cut one another,...contained by the segments of one of them, is equal or equivalent to the rectangle contained by the segments of the other. * Let the two straight lines... | |
| X. Y. Z. - Equations - 1843 - 124 pages
...intersect, the portions of them between the Circumference and Point of intersection are equal 91 8*. If two Lines within a Circle cut one another the Rectangle...Rectangle contained by the Segments of the other, (Euclid 35, 3.) - - - 92 Problems ..... 93 Answers to the Loci, (p. 31) ... 96 ERRATA. The Studen1... | |
| Scotland free church, gen. assembly - 1847 - 554 pages
...GEOMETRY AND PRACTICAL MATHEMATICS. !• If two chords in a circle intersect each other, prove that the rectangle contained by the segments of one of them is equal to the rectangle contained by tbe segments of the other. »• Prove that similar triangles are to each other as the squares of their... | |
| James Thomson - 1844 - 328 pages
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC = x. Then (Euc. I. 47.)... | |
| Euclid - Geometry - 1845 - 218 pages
...containing an angle equal to the given angle D. Which was to be done. PROPOSITION XXXV. THEOR. — If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...an angle equal to the given angle D : which was to be done. PROP. XXXV. THEOR. — If two chords of a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC... | |
| Euclides - 1845 - 546 pages
...given angle DQEF PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within the circle ABCD. Then the... | |
| James Thomson - Algebra - 1845 - 328 pages
...the part of it without the circle. (Euc. III. 36. Cor.) 8. If two chords cut one another in a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Euc. III. 35.) Let ABC be the required triangle, and let the leg AC or BC =x. Then (Euc. 1.47.) AB... | |
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