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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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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 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. 7. If any chord of a circle be produced...
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The Competitor, Volumes 3-4

1883 - 248 pages
...straight lines be drawn, one of which cuts the circle and the other meets it, the rectangle continued by the whole line which cuts 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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...Euclid, Algebra, and Mensuration. 239 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. ALGEBRA. 7. Write down the factors of w1...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 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 on the line which meets the circle, the line which meets the circle shall touch...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 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 Practical Teacher, Volume 2

Education - 1883 - 654 pages
...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 If perpendiculars BD, CE be drawn from the...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...circle but does not pass through the centre, and the other touches it, the rectangle contained by ¡be 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 perpendiculars BD, CE be drawn from the...
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Annual Report of the Commissioners ..., Volume 50

1884 - 648 pages
...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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The Civil service year book and official calendar

1884 - 266 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 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 - 148 pages
...circle bcrt 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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