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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 books i. to vi.and portions of books xi ... - Page 167
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...circle, but does not pass through the centre, 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 on the line which touches it. If two circles intersect at A and Д the...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...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 on the line which touches it." bisected in E, and EO be drawn perpendicular...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...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 on the line which touches it." bisected in E, and EO be drawn perpendicular...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...circle but does not pass through the centre, 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 on the line which touches it. 8. About a given circle describe a triangle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...(but does not pass through the centre), and the other touches the circle, 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 on the line which touches it. 5. Inscribe a circle in a given regular...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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 of the line which touches it. If from a point without a circle there be...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...are drawn, one of which cuts the circle and the other touches it ; then the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to tlie square on the line which touches it. Let P be a pt. outside a O. whose centre is O...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...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....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 of the line which touches it. From any pt. D without the 0 ADC, let a...
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Examinations Papers

1891 - 718 pages
...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 the square on the line which touches it. ENGLISH. The Board of Examiners....
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