 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...  A Treatise on Mensuration for the Use of Schools - Page 50by Commissioners of National Education in Ireland - 1837 - 262 pagesFull view - About this book
 | 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 - 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... | |
 | 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...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 - 306 pages
...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, the rectangle contained...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 - 800 pages
...contain an angle equal to a given rectilineal angle. Prop. XXX V. Theor. If two straight lines within a circle cut one another, the rectangle contained...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 - 354 pages
...the given angle 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...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 - Circle-squaring - 1819 - 350 pages
...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 :... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle equal to the given angle D. Which was to be donePROP. XXXV. THEOR. IP two straight lines within a circle cut one another, the rectangle contained...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... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...the line, and of the square of the Une between the points of section. 3. If two straight lines within a circle cut one another, the rectangle contained...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the given angle D. Which was to be done. * Proposition XXX У. Theorem. It two straight lines within a circle cut one another, the rectangle contained by the segments of one of them ia equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD,... | |
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