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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pàgina 90
per John Playfair - 1832 - 333 pàgines
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Examination Papers

University of Toronto - 1900 - 1164 pàgines
...angles stand on equal arcs, whether they be at the centres or circumferences. (III. 26.) 6. If from any point without a circle two straight lines be drawn,...the circle, and the other touches it ; the rectangle sustained by the whole line which cuts the circle and the part of it without the circle, shall be equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 pàgines
...opposite sides of the quadrilateral subtend at the centre of the circle are supplementary. 8. If from any point without a circle two straight lines be drawn,...of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Annual Report of the Commissioners ..., Volum 68

1902 - 482 pàgines
...contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines be drawn,...of which cuts the circle, and the other touches it; prove that the rectangle contained by the whole line which cuts the circle and the part of it without...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 pàgines
...circle there be drawn two straight lines, one of which cuts the circle, and the other touches 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 on the line which meets the circle, the line which meets the circle shall touch...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 pàgines
...Prove that the area of the second hexagon is to that of the first in the ratio 3 : I. 52. If from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle, a line drawn from the same point in any direction equal to the...
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Science Examinations ... Reports, Etc

1904 - 386 pàgines
...Show also how to trisect that angle. (25) 24. From any point outside a circle two straight lines are 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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A School Course of Mathematics

David Mair - 1907 - 412 pàgines
...passes through the centre of the circle, that, if from a point outside a circle two straight lines are drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part outside the circle, is equal to the square on the line which touches it. 35. Two straight lines AC...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pàgines
...circle two straight lines are drawn, 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 outside the circle is equal to the square on the line which meets the circle, then the line which meets...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 pàgines
...base and between the same parallels, the parallelogram shall be double of the triangle. 8. If from a point without a circle two straight lines be drawn,...the circle and the part of it without the circle, shall be equal to the square on the line which touches it 9. Inscribe a circle in a given triangle....
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The Dublin University Calendar, Volum 1

Trinity College (Dublin, Ireland) - 1910 - 578 pàgines
...there can he 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 the circle touches it. 8. Prove...
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