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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... "
A collection of examples in pure and mixed mathematics, with hints and ... - Pągina 73
per Alfred Wrigley - 1852
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pągines
...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 but does not pass through the centre, and the other touches it : the rectangle...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pągines
...problem also algebraically. If the rectangle be double of the square, how will the line be divided ? 2. 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,...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pągines
...Prove that equal chords in a circle are equally distant from the centre. III. 14. • 4. (a) Prove 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 reel angle contained by the whole line,...
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Calendar, for the Year ...

1899 - 166 pągines
...the length of a seconds pendulum that loses 5 minutes a day ? GII.LIES SCHOLARSHIP EXAMINATION. 6. 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...
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Examination Papers

University of Toronto - 1900 - 1164 pągines
...circles, equal 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, one of which cuts the circle, and the other touches it ; the rectangle sustained by the whole line...
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Annual Report of the Commissioners ..., Volum 68

1902 - 482 pągines
...rectangle 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, one of which cuts the circle, and the other touches it; prove that the rectangle contained by the whole...
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - 154 pągines
...also the measurements and multiplications. The result of our observations may be stated as follows: If from any point without a circle two straight lines be drawn, one a secant and the other a tangent, then the rectangle contained b3 r the secant and the part of...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911 - 250 pągines
...then the sum of the arcs AD and BC is equal to one-half of the circumference of the circle. (12) 10. 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...
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Annual Report of the Department of Education of the Province of Alberta, Volum 5

Alberta. Department of Education - 1911 - 226 pągines
...circle. 8 14. The angles in the same segment of a circle are equal to one another. 21 — III. 8 15. 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...
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The Dublin University Calendar, Volum 1

Trinity College (Dublin, Ireland) - 1918 - 554 pągines
...intercepted between the acute angle, and the perpendicular drawn to that side from the opposite angle. 5. 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...
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