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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 Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Page 96
by Euclid, Robert Simson - 1829 - 516 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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 the circle, and the part 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 pages
...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 tangent to it....
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 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 shall be equal to the square on the line which touches it. If two circles intersect each other, their...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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. Let D be any point without the circle ABC,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 in every respect....
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 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, shall be equal to the square of the lina which touches it. the square of .BO is less than the squares...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 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. Shew that this proposition is an extension...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...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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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...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...square of the line which meets it, the line which meets shall touch the circle. Draw a circle through two given points to touch a given straight line. 5. Describe...
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