| Robert Simson - Trigonometry - 1762 - 488 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, {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
...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...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
...them is equal to the fquare of the ftraight line AD which touches the circle. PROP. XXXVII. THEO R. IF from a point without a circle there be drawn two...which cuts the circle, and the other meets it ; if the re&anglc contained by the whole line which cuts the circle, and the part of it without the circle be... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...circle, are equal to one another, viz. the reftangle BA, AF to the reftangle CA, AE : For each of them is equal to the fquare of the ftraight line AD which...which cuts the circle, and the other meets it ; if the redlangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
| 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,... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...the circle. PROP. XXXVII. THEOR. See N. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be... | |
| Euclides - 1816 - 588 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 circle, and the part of it without the circle,. shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| John Playfair - 1819 - 354 pages
...the circle. A D. PROP. XXXVII. THEOR. ff from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...the part of it without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be... | |
| 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... | |
| John Playfair - Circle-squaring - 1819 - 350 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 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... | |
| |