 | Euclides - 1864 - 448 pages
...straight lines, &c. QED PROPOSITION XXXVI. THEOREM. 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 contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to... | |
 | Robert Potts - 1865 - 528 pages
...any point without a circle tico straight lines be drawn, one of which cuts the circle, and the othar touches it ; the rectangle contained by the whole...the circle, and the part of it without the circle, thall be equal to the square on the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1865 - 402 pages
...straight lines, &c. QED 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; then the rectangle contained by the whole line which cuts the circle, and the part of it without the... | |
 | John Playfair - Geometry - 1855 - 350 pages
...therefore AE.EC=BE. Ett BG PROP. J.XXVI. 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 contained by the whole lint which cvts the circle, and the part of it without the circle, is equal to the square of the line... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...squares of the other two sides of the triangle. 3. If from any poinf without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained, &c. Prove the case in which the line that cuts the circle does not pass through the centre. 4. Triangles... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight lines &c. QED , PROPOSITION 36. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...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, and let DCA, DB be two straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...circle there lie 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 the circle, be equal to the square on the line which meets the circle, Uie line which meets the circle sltall touch... | |
 | Robert Potts - 1868 - 434 pages
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one oj trhich cuts the circle, and the other touches it ; the rectangle...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 - Geometry, Plane - 1870 - 304 pages
...and the part without the circle (§230). Or, If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...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... | |
 | Edinburgh univ - 1871 - 392 pages
...parallelograms are on opposite sides of the bases. 5. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...the circle, and the part of it without the circle, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another... | |
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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... 
