| Euclid - 1837 - 410 Seiten
...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 the circle touches it. If from... | |
| John Playfair - 1837 - 332 Seiten
...and the other meets the circle, and the rectangle AB.BC contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square of** BD, which meets it ; the straight line BD touches (37. 3.) the circle ACD. And because BD touches the... | |
| Charles Reiner - 1837 - 246 Seiten
...tangent and the other cuts the circle, the rectangle contained by the line which cuts the circle and by **the part of it without the circle is equal to the square of the** tangent. 11. If, from the same point without a circle, several straight lines are drawn cutting the... | |
| Andrew Bell - 1837 - 240 Seiten
...cuts, and the other meets, the circle, and that the rectangle I AB • BC contained by the secant, **and the < part of it without the circle, is equal to the square of** BD which meets it ; the straight line BD touches the circle ACD fi" (III. 37) ; and because BD touches... | |
| Euclides - 1838 - 264 Seiten
...&c. PROP. XXXVI. THEOR. If from any point without a circle two straight tines be drawn, one of which **cuts the circle, and the other touches it; the rectangle...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,... | |
| Thomas Oswald Blackett - 1838 - 106 Seiten
...36, 3dBook EuclidJ. " 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...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,... | |
| Robert Simson - 1838 - 434 Seiten
...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 touches it ; the rectangle...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,... | |
| Euclides - 1841 - 378 Seiten
...QED PROP. XXXVI. THEOR. If from any point without a circle two straight lints be drawn, one of which **cuts the circle, and the other touches it; the rectangle...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,... | |
| Euclides - 1842
...XXXVI. THEOR. IF from any point on the exterior of a circle two straight lines be drawn, one of which **cuts the circle, and the other touches it ; the rectangle...whole line which cuts the circle, and the part of it** which is on the exterior of the circle, shall be equivalent to the square of the line which touches... | |
| John Playfair - 1842 - 332 Seiten
...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 shall touch the circle. Let... | |
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