 | Robert Simson - 1775 - 534 σελίδες
...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 σελίδες
...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 - 1795 - 462 σελίδες
...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 - 1799 - 374 σελίδες
...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 - 1804 - 530 σελίδες
...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 - 1804 - 468 σελίδες
...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 - 1806 - 320 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 350 σελίδες
...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... | |
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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, shall be equal to the square... 
