 | Woolwich roy. military acad - 1864 - 588 pages
...opposite sides and angles 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... | |
 | William Walton - Mathematics - 1864 - 234 pages
...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... | |
 | University of Cambridge - 1864 - 694 pages
...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 pages
...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 - Conic sections - 1865 - 474 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - Geometry, Plane - 1870 - 304 pages
...mean proportional between the whole secant and the part without the circle (ยง230). 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 - Geometry - 1871 - 320 pages
...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 pages
...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, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
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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... 
