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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, 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 77
by Euclides - 1837 - 88 pages
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...them is equal to the square of the straight line AD which touches the circle. 'C PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two...and the other meets it; if the rectangle contained hy the whole line, which cuts the circle, and the part of it without the circle be equal to the square...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...rectangles is equal to the square of the straight line AD, which touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...'lines, one of which cuts the circle, and the other meet sit; if the rectangle contained by the whole line, which cuts the circle, and the part of it without...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...the circle. A PROP. XXXVII. THEOR. a point without a circle there be drawn two straight lines, on» of which cuts the circle, and the other meets it ; if the rectangle eon* tained by the whole line, which cuts the circle, and the part of it with* out the circle,*be equal...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...drawn from any point without it, it follows that they are equal to each other. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...CA, AF: for each of them is equal to the square of the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without...contained by the whole line which cuts the circle, and (he part of it without the circle, be equal to the square of the line which meets it, the line which...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...rectangle CA.AF: for each rectangle is equal to the square of the tangent AD. PROP. XXXVII. THEOR.— If from a point without a circle there be drawn two...one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole fine which cuts the circle, and the part of it without...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...them is equal to the square of the straight line AD, which touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two...of which cuts the circle, and the other meets it, then, if the rectangle, contained by the whole line which cuts the circle and the part of it without...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...a, af : for each of them is equal to the square of the straight line ad, which touches the circle. PROPOSITION XXXVII. — THEOREM. If from a point without...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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...not greater than the diameter, to draw a secant which shall be bisected by the circumference. PROP, xxxVii. THEOREM: If from a point without a circle there be drawn two straight lines, one of which cnti the circle, and the other meets it ; and if the rectangle contained liy the whole line which cuts...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...alone for 1 hour and then all three work together 1 Euclid. 1. Find the centre of a given circle. 2. If from a point without a circle there be drawn two...one of which cuts the circle and the other meets it, so that the rectangle contained by the whole line which cuts the circle, and the part of it without...
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