| John Playfair - Euclid's Elements - 1806 - 311 pages
...GE.EH, AE.EC = BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. 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 contained by the whole line which cuts the... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...to the rectangle Bli, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. 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 contained by the whole line which cuts the... | |
| Euclides - Euclid's Elements - 1816 - 528 pages
...to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. 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 contained by the whole line which cuts the... | |
| Miles Bland - Geometry - 1819 - 377 pages
...intercepted by two lines drawn from its other extremity to the former intersections of the circle. 79- **If from a point without a circle two straight lines be drawn** touching it, and from one point of contact a perpendicular be drawn to that diameter which passes through... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. 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 contained, by the whole line which cuts the... | |
| Miles Bland - Geometry - 1821 - 438 pages
...equal, and GO=OB, .-. EG = FB = BI; whence EI= GB, and /. EH, HF together are equal to El ie to GB or CD **the diameter of the circle. (78. ) If from a point...extremity to the former intersections of the circle.** From the point A let AB, AD be drawn, of which AB touches the circle BCD, and AD cuts it ; and draw... | |
| Edward Riddle - Navigation - 1824 - 551 pages
...given in position to draw two lines which shall meet in that line, and make equal angles with it. 3. **If, from a point without a circle, two straight lines be drawn** to the concave part of the circumference, making equal angles with the line joining the same point... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...rectangle BE, ED Wherefore, if two straight lines, &c. QED Proposition 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 contained by the whole line which cuts the... | |
| Miles Bland - Geometry - 1827 - 377 pages
...circle, to draw two lines to a point in the circumference, which shall cut aline given in position, **so that the part of it intercepted by them may be...extremity to the former intersections of the circle.** 80. If any chord in a circle be bisected by another, and produced to meet the tangents drawn from the... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. 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 contained by the whole line which a1ts the... | |
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