 | Euclides, James Hamblin Smith - 1883 - 376 pages
...circumference of a circle. PROPOSITION XXXVI. THEOREM. //, 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 lini' which cuts the circU, and the part of it without the circle, must be equa1 to the square on the... | |
 | 1884 - 266 pages
...in the third side of that side produced. 10. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...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
...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...it without the circle, shall be equal to the square on the line which touches it. 8. About a given circle describe a triangle equiangular to a given triangle.... | |
 | 1884 - 648 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.... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...known proposition (Euclid 36, Book in.), that "if from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square on the line which touches it." If therefore a mean proportional cd be taken between CA and CB, and... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...alternate angles is equal to six right angles. 6. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square on the line which touches it. Two equal circles intersect in A and B ; show that if from an external... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...of which cuts the circle (but does not pass through the centre), and the other touches the circle, the rectangle contained by the whole line which cuts...it without the circle, shall be equal to the square on the line which touches it. 5. Inscribe a circle in a given regular pentagon. 6. _ Explain clearly... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained 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 shall touch the circle. (Eu.... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...circle is equal to the sum of the other pair. 4. If from a point without a circle two straight lines be drawn, one of which cuts the circle and the other touches it, show that the rectangle contained by the whole line which cuts the circle and the part of it without... | |
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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... 
