 | Euclides - 1865 - 402 pages
...lines be drawn, one of which cuts the circle, and the other tonches 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 on the line which tonches it ........ m. 36. 5. And conversely, if from a point... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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, the line which meets the circle shall touch it. Let any point D... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 - 434 pages
...lines 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 - Geometry, Plane - 1870 - 304 pages
...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 tangent. 50. The line joining the centres of two circumferences is perpendicular... | |
 | Edinburgh univ - 1871 - 392 pages
...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. 6. Prove that similar triangles are to one another... | |
 | Euclides - 1872 - 102 pages
...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...square of the line which meets it, the line which meets must touch the circle. Let A be a pt . without the © BCD, of which O is the centre. From A let two... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and... | |
 | University of Madras - 1873 - 436 pages
...does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY.... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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. Let D be any point without ABC, and DC A,... | |
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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... 
