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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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 76
by Euclides - 1837 - 88 pages
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...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,...it without the circle, shall be equal to the square on the line which touches it. Let D be any point without ABC, and DC A, DB be two straight lines drawn...
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The Madras University Calendar

University of Madras - 1873 - 436 pages
...the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY....
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The Bombay university calendar, Volume 1

Bombay city, univ - 1874 - 648 pages
...drawn two 10 straight linos one of which cuts the circle and tho 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 tho square of the lino which meets it, then the line which meets the circle shall bo a...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...be drawn two straight lines, one of which cuts the circle, and the other meets it; 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 it, the line which meets, shall touch the circle. Let...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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 the circle, and the part of it without the circle, be equal to the square on GEOMETRY. the line which meets the circle, the line which meets the circle...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...be drawn two straight lines, one of which cuts the circle and the other meets it, 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 it, the line which meets shall touch the circle. 7....
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...and the other touches it; the rentangle contained by the whole line which cuts the circle, and tht 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 ABC, and let DC A, DB be two straight...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...one of which not passing through the centre cuts the circle and the other touches it, the rectangle contained by the whole line which cuts the circle...it without the circle shall be equal to the square on the line which touches it. If any number of circles intersect two and two so that their common chords...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...drawn two straight tines, 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 Draw DE touching the circle. Then DE = DB. And triangles DBF and DEFaro equal...
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...the circle but does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle, and the part of it without the circle is equal to the square on the line which to aches it. (a) BA, AC are chords, in the same straight line,...
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