 | 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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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... 
