 | William Walton - 1864 - 234 pàgines
...it has been proved that sq. on Z>.B=sq. on AC+ac[. on CD; therefore AB has been divided, &c. QEF 3. 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... | |
 | University of Cambridge - 1864 - 694 pàgines
...ligure, and that the squares on these two parts shall together be equal to the square on the third. 3. 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... | |
 | Euclides - 1865 - 402 pàgines
...the rectangle BE, £». (ax. 1.) Wherefore, if two 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...to the rectangle BE, ED. [Axiom 1. Wherefore, if two 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 tlie other touches it; the rectangle contained ly the whole line... | |
 | Robert Potts - 1868 - 434 pàgines
...rectangle BE, ED. (I. ax. 1.) Wherefore, if two straight lines, &c. QED 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 contained by the whole line... | |
 | Richard Wormell - 1870 - 304 pàgines
...tangent is a mean proportional between the whole secant 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 touches it, the rectangle contained by the whole line which... | |
 | Edinburgh univ - 1871 - 392 pàgines
...enunciation, so as to extend it to the case where the 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 touches it ; the rectangle contained by the whole line... | |
 | Euclides - 1872 - 102 pàgines
...AB; shew that the rectangle CP, CQ is equal to the rectangle CP", CQ.' PROPOSITION 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 contained by the whole line which... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pàgines
...circle, their four extremities shall all -. in the circumference of a circle. PROPOSITION 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 contained 6y the whole line... | |
 | Braithwaite Arnett - 1873 - 120 pàgines
...The following results are frequently required in the investigation of the properties of triangles. If from any point without a circle two straight lines be drawn touching the circle, they are equal. This follows immediately from Euclid in. 37. For if DBj DE be... | |
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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... 
