 | William Walton - 1864 - 234 σελίδες
...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 which cuts the... | |
 | Euclides - 1865 - 402 σελίδες
...of one of them 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... | |
 | Horatio Nelson Robinson - 1865 - 474 σελίδες
...the lines AG and BG meet in a common point in the line CD, and made equal angled with that line. 3. If, from a point without a circle, two straight lines be drawn to the concave part of the circumference, making equal angles with the line joining the same point... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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 which cuts the... | |
 | Richard Wormell - 1870 - 304 σελίδες
...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 cuts the... | |
 | Henry William Watson - 1871 - 320 σελίδες
...case, the rectangle of EC and ED becomes the square of EF, and therefore we have this proposition, viz. If from a point without a circle two straight lines be drawn, one of which cuts and the other touches the circle, then the rectangle of the segments of the cutting line shall... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...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 which cuts the... | |
 | Euclides - 1872 - 102 σελίδες
...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 cute the... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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 which cuts the... | |
 | Henry Major - 1873 - 588 σελίδες
...rectangle GE, EH; therefore the rectangle AE, EC is equal to the rectangle BE, ED. XXXVI. — 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... | |
| |
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... 
