| Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 520 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** re&anglc contained by the whole line which cuts the circle, and the part of it without the circle be... | |
| John Playfair - Euclid's Elements - 1795 - 400 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 - 351 pages
...touches the circle. PROP. XXXVII. THEOR. 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** redlangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
| Euclid, John Playfair - Euclid's Elements - 1804 - 440 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... | |
| Robert Simson - Trigonometry - 1804
...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,... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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...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 taken without the circle... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...circle. Book nt. PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two 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 of it without... | |
| John Mason Good - 1813
...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... | |
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