| Robert Simson - Trigonometry - 1762 - 488 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. Let... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...a circle two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line •which cuts...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
...a circle two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts 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, 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 circle, two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the .rectangle contained by the whole line which cuts 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
...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.... | |
| Robert Simson - Trigonometry - 1804 - 530 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 mail touch the circle. Let... | |
| John Playfair - Mathematics - 1806 - 320 pages
...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...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... | |
| Euclides - 1816 - 588 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.... | |
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