| Euclides - 1845 - 546 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** (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
| Alfred Wrigley - 1845 - 222 pages
...circles, and be touched by the line which joins their centres. (Euclid, iii. 18. Cape, ii. 38.) 38. **If from any point without a circle, two straight lines be drawn,** making equal angles with the line through the centre, they will cut off equal segments from the circle.... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...e| BE ED = GE EH ' AE . EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 EĢ. **If from any point without a circle two straight lines...circle, and the part of it without the circle, shall** equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB two... | |
| John Playfair - Euclid's Elements - 1846 - 334 pages
...because, as has been shown, AE.EC=GE.EH, and BE.ED=GE.EH ; therefore AE.EC=BE. ED. BG PROP. XXXVI. THEOR. **If from any point without a circle two straight lines...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... | |
| Euclides - 1846 - 292 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then, 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... | |
| Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...intersection. Find the corresponding equation to the parabola^ 4. Prove analytically that if from a **point without a circle two straight lines be drawn,...which cuts the circle and the other touches it, the** square of the line that touches the circle is equal to the rectangle contained by the straight line... | |
| Euclid - 1848 - 52 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 it shall touch the circle.... | |
| Education - 1850 - 488 pages
...a 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. 2.... | |
| University of Durham - Education, Higher - 1851 - 222 pages
...from the centre are equal to one another. 8. If from a point without a circle two straight lines he **drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part** without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
| 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... | |
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