| 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 - 550 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 - 722 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 - 558 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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