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" IF from a point without a circle there 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... "
The first three books of Euclid's Elements of geometry, with theorems and ... - Page 84
by Euclid, Thomas Tate - 1849 - 108 pages
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...lines be drawn, 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 and the part of it without the circle shall be equal to the square on the line which touches it. If any number of circles intersect two and...
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...of which cuts 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...XXXVIL THEOREM. If from a point without a circle there be drawn two straight Una, me of vkicIi cuti the circle, and the other meets it ; if the rectangle contained by the whole line which cuti the circle, and the part of it without the circle, be equal tu the square on the line which meets...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...without a circle two straight lines ba drawn, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which cuts the circle, and l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...circle, there be drawn two straight lines, one of which ants the circle, and, the other meets it ; \f the rectangle contained by the whole line which cuts...part of it without the circle, be equal to the square on the line which meets it, the line which meets must touch the circle. Let A be a pt. without the...
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The Madras University Calendar, Volume 1

University of Madras - 1879 - 674 pages
...circle two straight lines be drawn one of which cuts the circle, 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 touches it. (a) AB is a fixed straight line of given length,...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...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 on the line which touches it. 8. The greater side of every triangle has...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...respectively equal to two given angles. 2. If from any point without a 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 the circle, and the part of it without...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 586 pages
...alternate segments of the circle. 10. If from any point without a 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 the circle, and the part of it without...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pages
...circle there be drawn two 5 straight linea, one of which cuts the circle and the other meets it, and if the rectangle contained by the whole line which...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 it. •S. Inscribe...
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