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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 97
av Euclides - 1853
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...their four extremities shall all in the circumference of a circle. PROPOSITION XXXVI. THEOREM. //, from any point without a circle, two straight lines...touches it ; the rectangle contained by the whole lini' which cuts the circU, and the part of it without the circle, must be equa1 to the square on the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...rectangle AE, EC is equal to the rectangle BE, ED. [Axiom 1. EUCLID'S ELEMENTS. PROPOSITION 36. THEOREM. If from any point without a circle two straight lines be drawn, 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...
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The Practical Teacher, Volum 2

1883
...a right angled isosceles triangle, which are inscribed in a circle, are in the ration of 4 : 3. 7. If from any point without a circle two straight lines be 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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...a right angled isosceles triangle, which are inscribed in a circle, are in tie ration of 4 : 3. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle but does not pass through the centre, and the other touches it, the rectangle contained by ¡be whole...
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The Civil service year book and official calendar

1884
...two sides of a triangle as diameters they will intersect in the third side of that side produced. 10. If from any point without a circle two straight lines...the circle and the part of it without the circle, is equal to the square of the line which touches it. Upon any straight line AB describe a semicircle...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...produced such that QP= QB, prove that P will lie on an arc of a fixed circle passing through A and B. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle bcrt does not pass through the centre, and the other touches it: the rectangle contained by the whole...
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Annual Report of the Commissioners ..., Volum 50

1884
...straight lines, one 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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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...equal circumferences are equal to one another, whether they be at the centres or circumferences. 8. If from any point without a circle two straight lines be 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...
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Examinations Papers

1887
...the circle and be equal to AD. 8. An arc of a circle being given, describe the circle. 9. If from a point without a circle two straight lines be drawn one of which cuts and the other meets the circle, and if the rectangle contained by the segments of the former be equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...produced such that QP= QB, prove that P will lie on an arc of a fixed circle passing through A and B. 7. If from any point without a circle two straight lines be 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...
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