| John Keill - 1723 - 364 sider
...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 - 1762 - 466 sider
...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 - 1775 - 520 sider
...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 - 520 sider
...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,... | |
| James Williamson - 1781
...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 - 1795 - 400 sider
...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 - 1799 - 351 sider
...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,... | |
| Robert Simson - 1804
...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,... | |
| Euclid, John Playfair - 1804 - 440 sider
...circle there be drawn two ftraight 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 fquare of the line which meets it, the line which meets fhall touch the circle. b is.... | |
| Euclid, Robert Simson - 1806 - 518 sider
...EC is equal 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...the circle, and the part of it without the circle,** shall be equal to the square of the line which touches it. b6.2. c 47. 1. Let D be any point without... | |
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