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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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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 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 on the line which touches it. Let D be any point without ABC, and DC A,...
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The Madras University Calendar

University of Madras - 1873 - 436 pagina’s
...which cuts 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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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pagina’s
...there lie drawn two straight lines, one of which cuts t/ie circle, and the ot/ier meets it, and if the rectangle contained by the whole line which cuts...of it without the circle, be equal to the square on GEOMETRY. Draw DE touching; the circle. Then DE = DB. And triangles DBF and DEF are equal in every...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1874 - 648 pagina’s
...circle there be 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...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 tangent to it....
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pagina’s
...without a circle two straight lines be drawn, one of which cuts the circle, and the oiher touches it; the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, slwtt be equal to the square an, t/ie line which touches it. Let D be any point without the circle...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pagina’s
...without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it j 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. Inscribe a circle in a given triangle....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 on the line which touches it. Let D be any point without the circle ABC,...
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pagina’s
...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pagina’s
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 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 on the line which touches it. Shew that this proposition is an extension...
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