 | Euclides - 1845 - 546 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 (he part of it without the circle, be equal to the square of the line which meets it, the line which... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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 the circle, be equal to the square of the fine which meets it, the line which meets the circle touches it. If from... | |
 | James Thomson - Algebra - 1845 - 328 pages
...continued to meet the remote part of its circumference, the rectangle contained by one of the lines and the part of it without the circle, is equal to the rectangle contained by the other and the part of it without the circle. (Euc. III. 36. Cor.) 8. If... | |
 | Euclides - 1846 - 292 pages
...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,... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...LXIII. THEOR. as. S E». 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 0 ABC ; and... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...LXIII. THEOR. 36. 3 E«. 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 equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 shall touch the circle. Let... | |
 | 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
...PROP. XXXVI. THEOREM. 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. Con. If from any point without a circle,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...QED PROP. XXXVI. THEOB. 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,... | |
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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 contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... 
