| Euclides - 1858 - 248 sider
...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... | |
| Euclides - 1860 - 288 sider
...angle equal to the given angle D. PBOPOSITION 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. Given the two chords AC and BD, within the circle ABCD, cutting one another in the point E ; to prove... | |
| Robert Potts - 1860 - 380 sider
...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 sider
...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 sider
...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 - 172 sider
...// two straight lines within a circle cut one another ; then the rectangle contained by the segment? of one of them is equal to the rectangle contained by the segments of the other. (References — Prop. i. 12, 47; n. 5; in. 1, 3.) Let the two straight lines AC, BD, within the circle... | |
| Robert Potts - 1863 - 482 sider
...with AB 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 segments of one of...rectangle contained by the segments of the other. With a point A in the circumference of a circle ABC as centre a circle PBC is described cutting the... | |
| 1863 - 302 sider
...EUCLID. — Book III. 1. Proposition 35. Theorem. 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. A projected railway having been surveyed through an estate I ask the engineer where the line will... | |
| Euclides - 1864 - 262 sider
...Or, in other words : — If the diagonals of a quadrilateral figure intersect one another, so that the rectangle contained by the segments of one of...the rectangle contained by the segments of the other ; then a circle may be described about the quadrilateral. Prop. xxxvi. The converse of the corollary... | |
| Euclides - 1864 - 448 sider
...PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained bg the segments of one of them, is equal to the rectangle contained bg the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within... | |
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