| Education, Higher - 1882 - 498 pages
...parallel to a chord, the point of contact will be the middle point of the arc cut off by that chord. 16. **If from any point without a circle two straight lines be drawn one of which** cute the circle and the other touches it, the rectangle contained by the whole line which cuts the... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...their four extremities shall all in the circumference of a circle. PROPOSITION XXXVI. THEOREM. //, **from any point without a circle, two straight lines...touches it ; the rectangle contained by the whole** lini' which cuts the circU, and the part of it without the circle, must be equa1 to the square on the... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...rectangle AE, EC is equal to the rectangle BE, ED. [Axiom 1. EUCLID'S ELEMENTS. PROPOSITION 36. THEOREM. **If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the** otlier touches it; the rectangle contained by the whole line which cuts the circle, and the part of... | |
| Education - 1883 - 658 pages
...a right angled isosceles triangle, which are inscribed in a circle, are in the ration of 4 : 3. 7. **If from any 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... | |
| Joseph Hughes - Education - 1883 - 578 pages
...a right angled isosceles triangle, which are inscribed in a circle, are in tie ration of 4 : 3. 7. **If from any 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 Ħbe whole... | |
| 1884 - 266 pages
...two sides of a triangle as diameters they will intersect in the third side of that side produced. 10. **If from any point without a circle two straight lines...the circle and the part of it without the circle,** is equal to the square of the line which touches it. Upon any straight line AB describe a semicircle... | |
| Woolwich roy. military acad - 1884 - 148 pages
...produced such that QP= QB, prove that P will lie on an arc of a fixed circle passing through A and B. 7. **If from any point without a circle two straight lines be drawn, one of which cuts the circle** bcrt does not pass through the centre, and the other touches it: the rectangle contained by the whole... | |
| 1884 - 654 pages
...straight lines, one of which cuts the circle and the other meets it ; and if the rectangle c-oiitamcd **by the whole line which cuts the circle and the part of it without the circle,** be equal to the square of the line which meets it, the line which meets the circle touches it. 20 marks.... | |
| 1887 - 644 pages
...the circle and be equal to AD. 8. An arc of a circle being given, describe the circle. 9. If from a **point without a circle two straight lines be drawn one of which cuts** and the other meets the circle, and if the rectangle contained by the segments of the former be equal... | |
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