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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...
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 152
door Robert Potts - 1860 - 361 pagina’s
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## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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 of the line which meets it; then that line shall touch the circle. (References — Prop. i. 8 ; in....
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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by tlte 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. (References— Prop. I. 12, 47; II. 6; III....
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## Register

University of Cambridge - 1864
...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 from a given point A without a given...
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## Report on the examination for admission to the Royal military academy at ...

...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 is equal to the square of the line which touches the circle. Two circles intersect, AB is their common...
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## Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 pagina’s
...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 from a given point A without a given...
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## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...drawn, one of which cuts the circle, and the other touches it; then 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 line which touches it. (References — Prop. I. 12, 47; n. 6 ;...
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...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...circle, be equal to the square on the line which meets the circle, the line which meets the circle shall touch it. Let any point D be taken without the circle...
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...lines be drawn, one of which cuts the circle, and tlie other touches it; the rectangle contained ly 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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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pagina’s
...be drawn, one oj trhich 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 lite circle, shall be equal to the square on the line which touches it. Let D be any point without...
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## An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 pagina’s
...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 tangent. 50. The line joining the centres of two circumferences is perpendicular...
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