 | 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 - 548 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 - Mathematics - 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 - 592 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 - 714 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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BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... 
