| Robert Simson - Trigonometry - 1762 - 488 pages
...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 other touches it ; the rectangle...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
...&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 other touches it ; the rectangle...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 - 550 pages
...&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 other touches it ; the rectangle...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... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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, fhall be equal to the fquare of the line which touches it. Let D be any point... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...a PROP. XXXVI. THEOR. IF from any point without a circle, two ftraight lines be drawn, one of which **cuts the circle, and the other touches it ; the .rectangle...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 - Trigonometry - 1804 - 530 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, Euclid - Circle-squaring - 1804 - 468 pages
...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.... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...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...equal to the square of the line which touches it.** Let D be any point without the circle ABC, and DCA, PB two straight lines drawn from it, of which DCA... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...the other meets the circle, and that the rectangle AB, BC contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square of** BD which meets it ; d37. 3. the straight line BD touches d the circle ACD ; and because BD touches... | |
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