| Euclides - 1846 - 292 pages
...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 - Geometry, Analytic - 1847 - 301 pages
...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 - 52 pages
...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,... | |
| 1852 - 316 pages
...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. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION.... | |
| University of Durham - Education, Higher - 1851 - 222 pages
...without a circle two straight lines he 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 without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
| Education - 1852 - 512 pages
...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. SECTION IV. — 1. To inscribe an equilateral... | |
| Euclides - 1853 - 146 pages
...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,... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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,... | |
| Euclid - Geometry - 1853 - 176 pages
...lines be drawn, one (DA) cutting the circle, and the other (DB) meeting it, and if the rectangle under the whole line which cuts the circle, and the part of it without the circle (DA and DC), be equal in area to the square on the line (DB) which meets it, that line touches the... | |
| Euclides - Geometry - 1853 - 178 pages
...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 meets it ; and if the rectangle contained by the whole line which cuts the circle, and the part of it without... | |
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