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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 ... - Página 84
por John Playfair - 1855 - 318 páginas
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...one of which cuts the circle, and the otlier 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. Let D be any point without the circle ABO,...
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The Civil service year book and official calendar

1884
...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...equal to the square of the line which touches it. Upon any straight line AB describe a semicircle and draw any two chords AD, BC intersecting in E. Prove...
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Annual Report of the Commissioners ..., Volumen50

1884
...of which cuts the circle and the other meets it ; and if the rectangle c-oiitamcd 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. 20 marks....
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...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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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - 1885 - 374 páginas
...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." If therefore a mean proportional cd be...
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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
...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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 páginas
...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 ; and from...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...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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