 | Robert Simson - Trigonometry - 1762 - 488 pages
...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 - 534 pages
...be drawn two ftraight 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 fquare of the line which meets it, the line which meets fhall touch the circle. Let... | |
 | Euclid - 1781 - 552 pages
...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 equal to the fquare of the line •Which meets it, the line which meets ihall touch the circle.... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; the reftangle contained by the 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... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 be equal to the fquare of the line which meets it; the line which meets fliall touch the circle. Let... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...be drawn two ftraight 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 fquare of the line which meets it, the line which meets mail touch the circle. Let... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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,...equal to the square of the line which touches it. b6.2. c 47. 1. Let D be any point without the circle ABC, and DC A, DB Book III. two straight lines... | |
 | John Mason Good - 1813 - 714 pages
...of them is equal to ihe rectanele contained by the segments of the other. cut» ttic cireíe, arid the part of it without the circle, shall be equal to the square of the line which torirheü it. ¥ op. XXXVII. Theor. If froto a point without a circle there be drawn fivo straight... | |
 | Euclides - 1814 - 560 pages
...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 tqual to the square of the line which touches it. Let D be any point without the circle ABC, and DCA,... | |
 | Euclides - 1816 - 588 pages
...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" of the line which meets" it," the line which meets it shall touch the circle.... | |
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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... 
