| Euclid, John Playfair - Geometry - 1853 - 336 pages
...been shown, AE.EC = GE.EH, and BE.ED = GE.EH; therefore AE.EC = BE. ED. PROP. XXXVI. THEOR. bisect' **any point without a circle two straight lines be drawn,...touches it ; the rectangle contained by the whole line** whfyh cuts the circle, and the part of it without the circle, is equal to the square of the line which... | |
| Euclides - Geometry - 1853 - 334 pages
...the rectangle BA, AE is equal to the rectangle CA, AF. Which was to be proved. PEOP. XXXVII. THEOE. **If from any point without a circle two straight lines...drawn, one of which cuts the circle and the other** meets it, such that the rectangle contained by the whole line cutting the circle and the part of it... | |
| 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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... | |
| Euclid - Geometry - 1853 - 176 pages
...from any point without a 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 - 176 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... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a **point without a circle two straight lines be drawn,...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 - 270 pages
...diagonals of any quadrilateral figure, be equal, a circle may be described about it. PRO P. XXXVI. THEOREM. **If from any point without a circle two straight lines...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... | |
| John Playfair - Geometry - 1855 - 334 pages
...has been shown, AE.EC = GE.EH, art BE.ED=GE.EH; therefore AE.EC = BE. ED. bisectPROP. XXXVI. THEOR. B **If from any point without a circle two straight lines be drawn, one** nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme which cuts... | |
| Euclides - 1856 - 168 pages
...squares of DB and E B. Therefore the rectangle DA, DC alone is equal to the square of D B. Cor. — **If from any point without a circle two straight lines be drawn** cutting the circle, the rectangles contained by each straight line and the part of it without the circle... | |
| |