| John Mason Good - 1813
...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
...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...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 - 528 pages
...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" of the line which meets" it," the line which meets it shall touch the circle.... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. If from, any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...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... | |
| John Playfair - 1819 - 317 pages
...PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of •siliich **cuts the circle, and the other touches it ; the rectangle...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... | |
| John Mason Good - 1819
...circle liiere be drawn two straight hues, one of which cuts the circle, und the oilier meets it ; if **the rectangle contained by the whole line which cuts the circle, and the part of it without** »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
| Euclid, Robert Simson - Geometry - 1821 - 516 pages
...two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...which cuts the circle, and the part of it without the** circlei shall be equal to the square of the line which touches it. Let D be any point without the circle... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...circle there be drawn two straight line« one of which cuts the circle, and the other meets it j 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 ihe line which meets it, the line which meets shall touch the circle. Let... | |
| George Lees - 1826
...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 equivalent to the square of the line which meets it, the line which meets also touches the circle.... | |
| Euclides - 1826
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, **one of which cuts the circle, and the other touches it, the rectangle** which is contained by the wlwle cutting line, and, that part between the point taken without the circle,... | |
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