 | Robert Simson - Trigonometry - 1762 - 488 pages
...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, and DCA, DB two ftraight lines drawn from it, of which DCA cuts the circle, and DB D a. 18. j. b. «. ». e.... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...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, and DC A, DB two ftraight lines drawn from it, of which DCA cuts the circle, b 6. a. c 47. 1. circle, and... | |
 | Euclid - 1781 - 552 pages
...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, and DCA, DB two ftraight lines drawn from it, of which DCA cuts the circle, • 18. 3. 8. ». c «7. :!e, and... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...whole line which cuts the circle, and the part of ,t without the circle, fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC, and DCA, DB two ftraight lines drawn from it, of which DCA CUB •flw* i ft ~'~ g" i^e centre, or it does not;... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...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, and DC A, DB two ftiaight lines drawn from ir, of which DCAcuts the circle, and DB touches the fame : The... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...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, and DCA, DB two ftraight lines drawn from it, of which DCA cuts the circle, ~and DB touches the fame. the re&angle... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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 DCA, PB two straight lines drawn from it, of which DCA cuts dl. 3. e 12- 1. Book III. the circle, and DB... | |
 | Euclides - 1814 - 560 pages
...contained by the whole line which cuts the circle, and the part of it without the circle, shall be tqual to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, the circle, and DB touches the same: The rectangle AD, ( -*v"»' 6B two straight lines drawn from it,... | |
 | Euclides - 1816 - 588 pages
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from it, of which DCA cuts Boon III. the circle, and DB touches the same:... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 DCA, DB twt straight lines drawn from it, of which DCA cuts the circle, and DB touches it : the rectangle... | |
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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... 
