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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... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 93
by John Keill - 1723 - 364 pages
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 circle, and the part of it without the circle, shall be...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 circle and the part of it without the circle shall be equal...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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, which cuts the circle, and the part of it without the circle, shall be...
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Examinations Papers

1891 - 718 pages
...can be drawn from P to the circle. D. If from a point outside 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 outside the circle is equal to...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...circumference, so as not to cut the circle. 'J. If from any |toint without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle contained liy the segments of the secant shall be equal to the square on the tangent. [Prove this in...
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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 pages
...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, which cuts the circle, and the part of it without the circle...
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Calendar, for the Year ...

1899 - 166 pages
...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 cuts the circle and the part of it without the circle, shall be equal...
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Examination Papers

University of Toronto - 1900 - 1164 pages
...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 which cuts the circle and the part of it without the circle, shall be equal...
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Annual Report of the Commissioners ..., Volume 72

1906 - 818 pages
...CHAMBBB8, District Inspector. SECTION A. 1. 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, is equal...
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A School Course of Mathematics

David Mair - Mathematics - 1907 - 412 pages
...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 touches it, the rectangle contained by the whole line which cuts the circle and the part outside the circle, is equal to the...
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