| Euclides - 1862
...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; then that line shall touch the circle. (References — Prop. i. 8 ; in.... | |
| Euclides - 1862
...lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte **whole line which cuts the circle, and the part of it without the circle,** shall be equal to the square on the line which touches it. (References— Prop. I. 12, 47; II. 6; III.... | |
| University of Cambridge - 1864
...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 on the line which touches it. If from a given point A without a given... | |
| Woolwich roy. military acad - 1864
...circle, but does not pass through the centre, and the other touches it, the 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 the circle. Two circles intersect, AB is their common... | |
| William Walton - 1864 - 212 pagina’s
...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 on the line which touches it. If from a given point A without a given... | |
| Euclides - 1865
...drawn, one of which cuts the circle, and the other touches it; then 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 of the line which touches it. (References — Prop. I. 12, 47; n. 6 ;... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the **whole line which cuts the circle, and the part of...circle, be equal to the square on the line which meets** the circle, the line which meets the circle shall touch it. Let any point D be taken without the circle... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...lines be drawn, one of which cuts the circle, and tlie other touches it; the rectangle contained ly the **whole line which cuts the circle, and the part of it without the circle,** shall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
| Robert Potts - 1868 - 410 pagina’s
...be drawn, one oj trhich 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** lite circle, shall be equal to the square on the line which touches it. Let D be any point without... | |
| Richard Wormell - 1870 - 16 pagina’s
...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** is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular... | |
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