| Euclides - 1853 - 146 pages
...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 - 178 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 - 176 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 - 334 pages
...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 - 264 pages
...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 - 976 pages
...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 - 262 pages
...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 - 1050 pages
...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 - 334 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 - 252 pages
...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... | |
| |