| Robert Simson - Trigonometry - 1781 - 466 pages
...one of them is equal to the rectangle contained by the fegments of the other. Let the two ftraight **lines AC, BD, within the circle ABCD, cut one another in the point E ; the** reel-angle contained by AE, EC is equal to the rectangle contained by BE, ED. If AC, BD pafs each of... | |
| Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...one of them, is equal to the rectangle contained by the fegments of the other. Let the two ftraight **lines AC, BD, within the circle ABCD, cut one another in the point E ; the** reftangle contained by AE, EC is equal to the reftangle contained by BE, ED. If AC, BD pafs each of... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...one of them is equal to the reftangle contained by the fegments of the other. Let the two ftraight **lines AC, BD, within the circle ABCD, cut one another in the point E : the** reftangle contained by AE, EC is equal to thfreftangle contained by BE, ED. If AC, BD pafs each of... | |
| John Playfair - Trigonometry - 1806 - 311 pages
...given 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...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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 493 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 - 518 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...another in the point E: the rectangle contained by** AEi EC is equal to the rectangle contained by BE, ED. If AC, BD pass each of them through the centre,... | |
| Euclides - 1814
...was to be ddhe. PROP. XXXV. THF.OR. Hoox Iff. IF two straight lines within a circle cut one an-See **N. other, the rectangle contained by the segments...the circle ABCD, cut one another in the point E; the** rectangle,contained byAE,EC is equal to the rectangle contained by BE, ED. A If ACBD pass each of them... | |
| Thomas Keith, William Hawney - 1817
...DC : AI, :: AD : ED, or D c X z D — AD* 8. If two straight lines within a circle cut one another, **the rectangle contained by the segments of one of...rectangle contained by the segments of the other,** (Euci'iD 35 ./HI.) Hence, Ąc'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,... | |
| Sir John Leslie - Geometry, Plane - 1817 - 432 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... | |
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