 | 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 - 550 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 - Trigonometry - 1795 - 444 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... | |
 | John Playfair - Euclid's Elements - 1804 - 470 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,... | |
 | John Playfair - Euclid's Elements - 1806 - 320 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 - 722 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 - 1814 - 558 pages
...without a \ / PROP. XXXV11. THEOR. /C See N. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...square of the line which meets it, the line which meets it shall touch the circle. • Let any point D be taken without the circle ABC, and from it let two... | |
| |
IF from a point without a 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... 
