| Euclid, John Keill - Geometry - 1723 - 436 pages
...Therefore, if any Point be taken without a Circle, and from that Point two Right Lines fall to the Circle, **one of which cuts the Circle, and the other touches it ; the Rectangle** contain1d under the wbolt Secant Liaet and H , its Part between the Convexity of the Circle and the... | |
| Robert Simson - Trigonometry - 1762 - 488 pages
...if two ftraight lines, &c. C^ED PROP. XXXVI. THEO R. TF from any point without a circle two ftraight **lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle,** {hall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...Wherefore, if two ftraight lines, &c. D PROP. XXXVI. THEO R. Ffrom any point without a circle two ftraight **lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle,** fliall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| Euclid - 1781 - 552 pages
...Wherefore, if two ftraight lines, &c. PROP. XXXVL THEO R. IF from any point without a circle two ftraight **lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle,** fhall be equal to the fquarc of the line which touches it. Let D be any point without the circle ABC,... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...point be taken without a circle, and two ftraight lines fall from it upon the circle ; and one of them **cuts the circle and the other touches it; the rectangle contained by the whole** cutting line and the fegment without, taken between the point and the convex circumference, will be... | |
| John Playfair - Euclid's Elements - 1795 - 462 pages
...two ftraight lines, &c. Q..ED PROP. XXXVL THE OR. IF from, any point without a circle two ftraight **lines be drawn, one of which cuts the circle, and the other touches it ; the** reftangle contained by the whole line which cuts the circle, and the part of ,t without the circle,... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...two ftraight lines, &c. O^ED a PROP. XXXVI. THEOR. IF from any point without a circle, two ftraight **lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle,** fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...two ftraight lines, &c. Q^ ED PROP. XXXVI. THEO R. IF from any point without a circle two ftraight **lines be drawn, one of which cuts the circle, and...the circle, and the part of it without the circle,** is equal to the fqua°re of the line which touches it. Let D be any point without the circle ABC, and... | |
| Robert Simson - Trigonometry - 1804 - 528 pages
...THEOR. IF from any point without a circle two ftraight lines be drawn, one of which cuts the circle, snd **the other touches it ; the rectangle contained by...the circle, and the part of it without the circle,** fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| John Playfair - Mathematics - 1806 - 320 pages
...and BE.ED = 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...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... | |
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