| Euclides - 1845
...the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight **lines, one of which cuts the circle, and the other...contained by the whole line which cuts the circle, and** (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
| Euclid, James Thomson - 1845 - 352 sider
...the tangent AD. PROP. XXXVII. THEOR.— If from a point without a circle there be drawn two straight **lines, one of which cuts the circle, and the other meets it** ; and if the rectangle contained by the whole fine which cuts the circle, and the part of it without... | |
| Great Britain. Admiralty - 1846
...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 of the line which touches it. Let D be any point without the 0 ABC ; and... | |
| Euclid, John Playfair - 1846 - 317 sider
...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,** is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
| Great Britain. Admiralty - 1846
...without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; **the rectangle con-tained by the whole line which cuts...the circle, and the part of it without the circle,** shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB... | |
| Euclides - 1846
...touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two straight **lines, one of which cuts the circle, and the other meets it,** then, if the rectangle, contained by the whole line which cuts the circle and the part of it without... | |
| THOMAS GASKIN, M.A., - 1847
...the square of the line that touches the circle is equal to the rectangle contained by the straight **line which cuts the circle and the part of it without the circle.** 5. The portions of the tangent at any point of an equiangular hyperbola intercepted between the curve... | |
| Euclides - 1848
...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 of the line which touches it. Con. If from any point without a circle,... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...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 of the line which touches it. Let D be any point without the circle ABC,... | |
| 1850
...the segment of the other. SECTION V. 1. If from a point without a circle there be drawn two straight **lines, one of which cuts the circle and the other...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. 2. To inscribe a circle... | |
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