 | Robert Simson - Trigonometry - 1762 - 488 pages
...without a circle there be drawn two ftraight lines, one of which cuts the circle, and the other meets itl if the rectangle contained by the whole line which...the circle, and the part of it without the circle he equal to the fquare of the line which meets ir, the line which meets fliall touch the circle. Let... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the reQangle 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,... | |
 | Euclid - 1781 - 552 pages
...without 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
...touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two ftraight lines, one of which cuts the circle, and the other meets it ; if the reftangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the jectangle 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,... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...without a circle two ftraight lines be drawn, one of which cuts the circle, snd 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
...without 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, is equal to the fqua°re of the line which touches it. Let D be any point without the circle ABC, and... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...equal to the square of the straight line AD which touches the circle. 105 Book nt. PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two...one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line, which cuts the circle, and the part of it without... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...rectungles is equal to the square of the straight 'ioc AD, which touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...whole line, which cuts the circle, and the part of it zeithout the circle, be equal to the square of the line which meets it, the line which meets shall... | |
 | John Mason Good - 1819 - 800 pages
...point without в circle liiere be drawn two straight hues, one of which cuts the circle, und the oilier meets it ; if the rectangle contained by the whole...which cuts the circle, and the part of it without »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
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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 circle, and the part of it without the circle, is equal to the square of... 
