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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: Chiefly from the Text of Dr. Simson, with ... - Pagina 152
door Robert Potts - 1860 - 361 pagina’s
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885
...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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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...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

T. H. EAGLES, M.A. - 1885
...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 - 1889
...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. Two equal circles intersect in A and B ;...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 172 pagina’s
...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. III., 37.) PROBLEMS....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 pagina’s
...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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 pagina’s
...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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pagina’s
...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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Euclid's Elements of Geometry, Boeken 1-6

Henry Martyn Taylor - 1893 - 504 pagina’s
...other meets it, and if the rectangle contained by the segments of the chord on the line which cuts the circle be equal to the square on the line which meets the circle, the line which meets the circle is a tangent to it. Let A BCD be a circle and E an external...
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