 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...  Guide to the army - competitive examinations - Pagina 87door Alexander Hadden Hutchinson - 1861Volledige weergave - Over dit boek
 | Andrew Bell - 1837 - 290 pagina’s
...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,... | |
 | Commissioners of National Education in Ireland - 1837 - 284 pagina’s
...-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... | |
 | Euclides - 1837 - 112 pagina’s
...alternate segment BJC ~ ZD PROPOSITION XXXV. Theorem. 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. • In case 1st, E is the centre of the 0, and evident that AE x EC = BE x ED. it is Steps of the Demonstration... | |
 | Euclides - 1838 - 264 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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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