| Euclides - 1853
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if **the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle,** be equal to the square of the line which meets it, the line which meets shall touch the circle. Let... | |
| Euclides - Geometry - 1853 - 147 pages
...from any point imtliout a circle two straiglit lines be drawn, one ofwliich cuts the circle, and tlie **other touches it, the rectangle contained by the whole line which cuts the circle, and the** poyrt of it without the circle, shall be equal to the square of the line which touches it. LET d be... | |
| Euclid - Geometry - 1853 - 136 pages
...circle straight lines be drawn to the circumferIdem. If from a point within a circle two straight lines **be drawn, one of which cuts the circle, and the other touches it.** CONSEQUENCES. fThe greatest is that which j passes through the center. The remaining part of the I... | |
| Euclides - Geometry - 1853
...ED. Which was to be proved. PEOP. XXXVI. THEOE. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other touches it** : then the rectangle contained by the whole line cutting the circle and the part of it without the... | |
| 1855
...which joins them shall fail within the circle. 3. If from any point without a circle two straight lines **be drawn, one of which cuts the circle and the other...equal to the square of the line which touches it.** SECT. IV. — 1. About a circle to describe a triangle equiangular to a given triangle. 2. To describe... | |
| Great Britain. Committee on Education - School buildings - 1855
...angles in the same segment of a circle are equal. 2. If from a point without a circle two straight lines **be drawn, one of which cuts the circle and the other...cuts the circle and the part of it without the circle** is equal to the square of the line which touches it. 3. Define similar figures, and prove that equiangular... | |
| Euclides - 1855
...be described about it. PRO P. XXXVI. THEOREM. If from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other touches it ; the rectangle** cnnta-iаed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
| Robert Potts - 1855
...the circle and the other touches it; e rectangle contained by the whole line which cuts the circle id **the part of it without the circle, shall be equal to the** uare of the line which touches it. the segment equals four right angles. A circle of known radius moves... | |
| John Playfair - Geometry - 1855 - 318 pages
...drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme **which cuts the circle, and the part of it without the circle,** is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
| Cambridge univ, exam. papers - 1856
...be at the centres or the circumferences. 11. If from any point without a circle two straight lines **be drawn one of which cuts the circle and the other...equal to the square of the line which touches it.** Through two given points draw a circle which shall touch a given circle. 12. The sides about the equal... | |
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