 | 1851 - 382 pages
...circles equal cords divide the circumference into parts which are equal each to each, 3. If two cords of a circle cut one another, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other, ...... 4. What do you mean... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...ABC, containing an angle equal to the given angle D. "Which was to be done. PROPOSITION XXXV. THEOR. If two straight lines within a circle cut one another,...segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point K ; the rectangle contained by AE, EC is equal... | |
 | Euclides - Geometry - 1853 - 176 pages
...containing an angle equal to the given angle d. Which was to be done. PROPOSITION XXXV. — THEOREM. If two straight lines within a circle cut one another,...segments of the other. LET the two straight lines aС, bd, within the circle ab С d, cut one another in the point e ; the rectangle contained by ae,... | |
 | Euclides - 1853 - 146 pages
...circle ABC containing an angle equal to the given angle D. Which was to be done. PROP. XXXV. THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of one of them is egual to the rectangle contained by the segments of the other. Let the two straight lines AC, BD, within... | |
 | Euclides - Geometry - 1853 - 334 pages
...lines be drawn in the circle : then the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let E be any point within the circle ABC, and through E let the straight lines AC, BD be drawn in the circle.... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...the same, whatever chord (AB) be drawn through P ; .-.if two chords cut one another in any point P, the rectangle contained by the segments of one of them is equal to that contained by the segments of the other. Proposition XXXVI. — Let В be any point without a (.•ircle... | |
 | 1855 - 264 pages
...segment of a circle are equal to one another; 10. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. ALGEBRA. (Second Section.) 1. Simplify a-[6 + e-{d+6-(e+26-fl+d}}] 2. If *=-— show that (x+a) (x+$)+(c-*)... | |
 | Robert Potts - 1855 - 1050 pages
...that if PS and PC be drawn making any constant angle with AH and AC, the locus of P is a circle. 7. If two straight lines within a circle cut one another, the rectangle contained by the segment* of one of them is equal to the rectangle contained by the segments! of the other. With a point... | |
 | War office - 1858 - 578 pages
...which joins them shall fall within the circle. 2. If two straight lines cut one another within a circle the rectangle contained by the segments of one of...rectangle contained by the segments of the other. VOLUNTARY PORTION. about the equal angles proportionals, the triangles shall be equiangular, and shall... | |
 | Euclides - 1858 - 248 pages
...another within a circle ; as Prop. 35, bk. iii. , "if two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. " 4. By this proposition the method may be demonstrated of finding the value of an Adfected Quadratic... | |
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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... 
