| Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle D. Which was to be done. 33-3c47 ft i^. i. a 3- 3b 5. a. c PROP. XXXV. THEOR. IF two ftraight **lines within a circle cut one another, the rectangle contained by the** fegments of one of them, is equal to the rectangle contained by the fegments of the other. Let the... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...an angle equal to the given angle D. Which was to be done. PROP. PROP. XXXV. THEOR. IF two ftraight **lines within a circle cut one another, the rectangle contained by the** fegments of one of them is equal to the reftangle contained by the fegments of the other. Let the two... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one ano- See N, ther, **the rectangle contained by the segments of one of...rectangle contained by the segments of the other.** c Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E : the rectangle... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...angle D. Which was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut each other, **the rectangle contained* by the segments of one of...rectangle contained by the segments of the other.** 3.3.3. b5.2. r 47. 1. Let the two straight lines AC, BD, within the circle ABCD, cut each other in... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...intercepted between the circumference and the point E. PROP. XXXVI. THEOR. one is equivalent to that **contained by the segments of the other. Let the two straight lines** AD and AF be extended through the point A, to cut the circumference BFD of a circle; the rectangle... | |
| Euclid - Geometry - 1810 - 554 pages
...be done. F PROP. XXXV. THEOR. C IF two straight lines within a circle cut one ano- See Note. ther, **the rectangle contained by the segments of one of...segments of the other. Let the two straight lines AC,** BD, within the circle ABCD, cut one another in the point E: the rectangle contained by AEi EC is equal... | |
| Euclides - 1816 - 588 pages
...was to be done. PROP. XXXV. THEOR. IF two straight lines within a circle cut one an- See N. other, **the rectangle contained by the segments of one of...segments of the other. Let the two straight lines AC,** BD, within the circle ABCD, cut one another in the point E; the rectangle contained by AE, EC is equal... | |
| Thomas Keith - 1817 - 304 pages
...VI.) Hence, EC : EA :: EA : ED, or E c XE n — EA '" DC : AI, :: AD : ED, or D c X z D — AD* 8. **If two straight lines within a circle cut one another,...rectangle contained by the segments of the other,** (Euci'iD 35 ./HI.) Hence, „c'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,... | |
| Sir John Leslie - Geometry - 1817 - 456 pages
...drawn to cut the circumference ; the rectangle under the segments of the one, is equivalent to that **contained by the segments of the other, Let the two straight lines** AD and AF be extended through the point A, to cut the circumference BFD of a circle ; the rectangle... | |
| John Mason Good - 1819 - 740 pages
...a given circle which shall contain an angle equal to a given rectilineal angle. Prop. XXX V. Theor. **If two straight lines within a circle cut one another,...rectangle contained by the segments of the other.** Cul^tlie circle, ami the part of it without the circle, shall be equal to the sqmire of the line which... | |
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