 | Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...and indefinitely beyond as to a. It is a 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 touches it; the rectangle contained by the whole line which cuts the... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...and indefinitely beyond as to a. It is a known proposition (Euclid 36, Book ill.), that "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... | |
 | 1887 - 644 pages
...A to meet 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... | |
 | Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...regular hexagon. Prove that the area of the second hexagon is to that of the first in the ratio 3:1. be drawn, one of which touches and the other cuts...by two lines drawn from its other extremity to the intersections of the circle with the cutting line. 53. If ABC be an equilateral triangle, and P a point... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...inscribed in a circle, show that the sum of either four 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 touches it ; the rectangle contained by the whole line which cuts the... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...AC respectively. Cut in O. Show that rectangle AO, OD = rectangle BO, OE. PROPOSITION 36. THEOREM. If from a 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... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...opposite sides of any quadrilateral described about a 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... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...circle shall be equal to the angles which are in the alternate segments of the circle. 4. If from n 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 the circle, the rectangle... | |
 | Northwest Territories Council of Public Instruction - 1897 - 628 pages
...circle ? Give reasons for your answer. (c) Draw a common tangent to two given circles. 5. (a) Prove that if from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other meets it, and if the rectangle contained by the secant and its external... | |
 | Education - 1897 - 680 pages
...circle, and any other straight line through the same extremity cuts the circle in one other point. 8. If from a point without a circle two straight lines be drawn to cut the circle, the rectangles contained respectively by the whole lines and the parts of them 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... 
