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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 geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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## Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson - 1860 - 240 Seiten
...adjacent sides is given. 3. 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...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. If two chords AB, AC be drawn from any point...
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## Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 198 Seiten
...adjacent sides is given. 3. 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...the circle, and the part of it without the circle, shall be equal to the square on. the line which touches it. If two chords AB, AC be drawn from any...
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## A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 Seiten
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the circle, and the other touches it ; the rectangle...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. If any line is drawn touching a circle,...
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## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...which cuts, and the other meets the circle, and that the rectangle AB • BC contained by the secant, and the part of it without the circle, is equal to the square on BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...PROPOSITION XXXVI. THEOREM. If from any point without a circle two straight lines be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the...
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## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...36. — THEOR. (Important.) If from any point without a circle two st. lines be drawn, one of which cuts the circle, and the other touches it; the rectangle...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Cox. 10,1. 1,II1. 12,1. DEM. 18, III. 47,...
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 Seiten
...intercepted without the triangle between the perpendicular and the obtuse angle. 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, the line which meets touches the circle. ALGEBRA....
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## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...a circle, two straight lines be 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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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...PROPOSITION 36. -THEOREM. If from a point without a circle two straight 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...
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## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863 - 482 Seiten
...four right angles. 13. 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 circleand the part of it without the circle, shall be equal to the square of the line which touches...
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