| 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 - 300 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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