| 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... | |
| Euclides - 1856 - 168 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. LXVIII.— EUCLID III. 35. If two straight lines within a circle cut one another...rectangle contained by the segments of the other. Let the two straight lines AC, BC within the circle ABCD cut one another in the point E, the rectangle... | |
| 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... | |
| 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 - 1860 - 288 pages
...circle ABC containing an angle equal to the given angle D. PBOPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. Given the two chords AC and BD, within the circle ABCD, cutting one another in the point E ; to prove... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained btf the segments of one of them, is equal to the rectangle contained by the si'gmrnh of the other. Let the two straight lines AC, BD, cut one another in the point E, within... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...his army consist before the battle ? Euclid. 1. 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. 2. If a point be taken within a circle, from which there fall more than two equal straight lines to... | |
| Euclides - 1861 - 464 pages
...BC. QE r. PBOP. 35. — THEOK. (Very Important.) If two st. lines eut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Cox. 10, I. 12, I. 1, III. Pst. 1. DEM. Def. 15, I. 3, III. 47, I. Axs. 1, 2, 3, I. 36, 1. Parlms.... | |
| Euclides - 1862 - 140 pages
...BAC has been cut off, containing an angle equal to the given angle DQEF PROPOSITION 35.— THEOREM. If two straight lines within a circle cut one another,...rectangle contained by the segments of one of them shall be equal to tlte rectangle contained by the segments of the other. (References— Prop. I. 12,... | |
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