| Robert Simson - Trigonometry - 1775 - 534 pages
...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
...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
...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 be equal to the** fquare of the line which meets it, the line which meets fhall touch the circle. Let any point D be... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...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,... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...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
...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 - Euclid's Elements - 1806 - 320 pages
...straight lines, 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...square of the line which meets it, the line which meets** will touch the circle.Book III. Let any point D be taken without the circle ABC, and v^v^ from it let... | |
| John Mason Good - 1813 - 714 pages
...mCcti it; if the rectangle contained by (lie whole line «hieh <;uts the: с rcie, am! the part "f **it without the circle be equal to the square of the line** utiirh meet» it, the Hue \vhirh meets shall touch the circle. rtook IV. Def. I.— A rectilineal figure... | |
| Euclides - 1816 - 588 pages
...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 - Circle-squaring - 1819 - 350 pages
...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** stfwtre of the line which meets it, the line which meets shall touch the circle. i ~ Let any point... | |
| |