 | Commissioners of National Education in Ireland - 1837 - 284 páginas
...-36571 ; hence 30-24 + -36571 = 30-60571 the area. Note. If two chords of a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. This is the 35th Proposition of the IIL Book of Euclid. 4. Required the area of the segment AGFB whose... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...; that is, the difference between it and a right angle. IF two chords of a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. In the circle ABCD, let the two chords AC, BD cut one another in the point E : the rectangle AE.EC... | |
 | Andrew Bell - 1837 - 290 páginas
...angle equal to the given angle D. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. If AC, BD, pass each of them through the centre, so that E is the centre; it is evident that AE, EC,... | |
 | Euclides - 1838 - 264 páginas
...is cut off, containing an angle equal to the given angle D. Which was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle,...rectangle contained by the segments of the other. Let the two straight lines AC, BD, cut one another In the point E within the circle ABCD: the rectangle... | |
 | Robert Simson - 1838 - 434 páginas
...Which was to be done. PROP. XXXV. THEOR. B C 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.* Let the two straight lines AC BD, within the circle ABCD, cut one another in the point E : the rectangle... | |
 | Euclides - 1841 - 378 páginas
...is cut off, containing an angle equal to the given angle D. Which was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle,...rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another in the point E, within the circld ABCD; the rectangle... | |
 | John Playfair - 1842 - 332 páginas
...equal to the given angle D. PROP. XXXV. 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. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E ; the rectangle... | |
 | Euclides - 1842 - 316 páginas
...equal to the given angle DQEF PEOP. XXXV. THEOR. IF two straight lines within a circle cut one another, the rectangle contained by the segments of one of them, is equal or equivalent to the rectangle contained by the segments of the other. * Let the two straight lines... | |
 | X. Y. Z. - 1843 - 124 páginas
...Circumference and Point of intersection are equal 91 8*. If two Lines within a Circle cut one another the Rectangle contained by the Segments of one of...Rectangle contained by the Segments of the other, (Euclid 35, 3.) - - - 92 Problems ..... 93 Answers to the Loci, (p. 31) ... 96 ERRATA. The Studen1... | |
 | Scotland free church, gen. assembly - 1847 - 554 páginas
...GEOMETRY AND PRACTICAL MATHEMATICS. !• If two chords in a circle intersect each other, prove that the rectangle contained by the segments of one of them is equal to the rectangle contained by tbe segments of the other. »• Prove that similar triangles are to each other as the squares of their... | |
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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... 
