 | Robert Simson - 1806 - عدد الصفحات: 546
...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 - 1806 - عدد الصفحات: 320
...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... | |
 | Euclides - 1816 - عدد الصفحات: 588
...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...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... | |
 | Thomas Keith - 1817 - عدد الصفحات: 306
...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, ¥c'x<''» — AUXCB, and because A c — c B in this figure, xc X CD ~ AC*,... | |
 | John Mason Good - 1819 - عدد الصفحات: 800
...given rectilineal angle. Prop. XXX V. Theor. 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. Cul^tlie circle, ami the part of it without the circle, shall be equal to the sqmire of the line which... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...D. Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle tut one another, the rectangle contained by the segments of one of...to the rectangle contained by the segments of the ether. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E :... | |
 | John Playfair - 1819 - عدد الصفحات: 350
...PROP. XXXV. THEOR. If two straight lints within a circle cut one -another, the rectangle contain* ed by the segments of one of them is equal to the rectangle contained by the segments of the ether. Let the two straight lines AC. BD, within the circle ABCt), cut one another in the point E :... | |
 | John Martin Frederick Wright - 1825 - عدد الصفحات: 798
...of the Une between the points of section. 3. 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. 4. Inscribe an equilateral and equiangular hexagon in a gives circle. 5. If any number of magnitudes... | |
 | Euclides - 1826 - عدد الصفحات: 226
...XXXV. THBORKM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments of the other. . contained under AE, EC, is equal to that contained under DE, EB.... | |
 | Euclid - 1826 - عدد الصفحات: 234
...XXXV. THEOREM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments. of the other. contained under AE, EC, is equal to that contained under DE, EB.... | |
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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... 
