 | Euclides - 1864 - 448 páginas
...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 the square on the line which touches it. Let D be any point... | |
 | Robert Potts - 1865 - 528 páginas
...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 meets it ; if the rectangle contained by tlie whole line which outs tfa circle, and the part of it without the circle, be equal to the square... | |
 | Euclides - 1865 - 402 páginas
...it ........ m. 36. 5. And conversely, if from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle under the whole line which cuts the circle, and the part of it without the circle, be equal to the... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...the circle. PROPOSITION 87. THEOREM. If from any 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...the circle. PROPOSITION 87. THEOREM. If from any point without a 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... | |
 | Robert Potts - 1868 - 434 páginas
...circle. PROPOSITION XXXVII. THEOREM. /f from a point without a circle there be drawn two straight 'ines, one of which cuts the circle, and the other meets...the rectangle contained by the whole line which cuts ike circle, and the part of it without the circle, he equal lo the square on the line which meets it,... | |
 | Richard Wormell - 1870 - 304 páginas
...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 tangent. 50. The line joining the centres of two circumferences is perpendicular... | |
 | Edinburgh univ - 1871 - 392 páginas
...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. 6. Prove that similar triangles are to one another... | |
 | Euclides - 1872 - 102 páginas
...tangent. PROPOSITION XXXVII. THEOREM. If, from a point without a circle there be dratcn 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 must touch the circle. Let A be a pt . without... | |
 | Euclides, James Hamblin Smith - 1872 - 376 páginas
...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... | |
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IF from a point without a 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... 
