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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 ... - Pagina 168
door Euclides, James Hamblin Smith - 1879
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pagina’s
...drawn, one of which cuts the 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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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 252 pagina’s
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line which cuts...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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pagina’s
...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 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 - 538 pagina’s
...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 of the line which touches it. From any pt. D without the 0 ADC, let a...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 pagina’s
...of which cuts the circle (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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 pagina’s
...cut the circle, and the other to meet it; and if the square on the line which meets it, is equal to the rectangle contained by the whole line which cuts the circle, and tlie part of it without the circle, then the line which meets the circle touches it. Let P be a pt....
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Examinations Papers

1891 - 718 pagina’s
...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 the square on the line which touches it. ENGLISH. The Board of Examiners....
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Euclid's Elements of Geometry, Boeken 1-6

Henry Martyn Taylor - 1893 - 486 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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Euclid's Elements of Geometry, Boeken 1-6;Boek 11

Henry Martyn Taylor - 1895 - 708 pagina’s
...other meets it, and if the rectanyle contained by the segments of the chord mi 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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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pagina’s
...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 shall be equal to the square on the line which touches it. III. 3(5. (6) ABC is a triangle, right angled...
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