 | Woolwich roy. military acad - 1864 - 588 σελίδες
...of a parallelogram are equal to each other, and the diameter bisects it. 10. If from a point without a circle two Straight lines be drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained by the whole... | |
 | Euclides - 1865 - 402 σελίδες
...is equal to the rectangle nnder the segments of the other ..... m. 35. 4. If from any point without a circle two straight 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... | |
 | Robert Potts - 1865 - 528 σελίδες
...if two straight lines, &o. QED PROPOSITION XXXVI. THEOREM. If from 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 line which cuts the circle, and the part of... | |
 | John Playfair - 1855 - 350 σελίδες
...GE.EH, and BE.ED=GE.EH ; 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...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 - 1866 - 428 σελίδες
...to half the sum of the 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...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 - 1867 - 426 σελίδες
...[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 which cuts the circle, and the part... | |
 | Robert Potts - 1868 - 434 σελίδες
...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 which cuts the circle, and the part of it without lite circle, shall be equal to the square on the line which... | |
 | Richard Wormell - 1870 - 304 σελίδες
...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...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... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...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...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... | |
 | Euclides - 1872 - 102 σελίδες
...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...it; the rectangle contained by the whole line which cute the circle, and the part of it without the circle, must be equal to the square on the line which... | |
| |
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... 
