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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 97
av Euclides - 1853
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 sider
...to the rectangles contained by the opposite sides of the quadrilateral. If from any point outside of a circle two straight lines be drawn, one of which cuts, the circle and the other touches it, then the rectangle under the line which cuts the circle, and that part of it outside the circle, is...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...the other at right angles ; (3) not at right angles ; (4) when neither passes through the centre. E. If from any point without a circle two straight lines be drawn, one cutting, the other touching the circle, the rectangle of the whole cutting line and the part without...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...rectangle BE, ED. (I. ax. 1.) Wherefore, if two straight lines, &c. QED 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...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...the circumference upon the same base, that is, upon the same part of the 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 contained by the whole line which cuts...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 317 sider
...has been shown, AE.EC = GE.EH, and BE.ED = GE.EH; therefore AE.EC = BE. ED. PROP. XXXVI. THEOR. B Jf from any point without a circle two straight lines be drawn, one iif which cuts the circle, and the other touches it; the rectangle contained by the whole line which...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...without a circle there be drawn two 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 u-hich meets it, the line which meets shall touch the circle. Cos....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...EC is equal to the rectangle BE-ED. (ax. 1.) EUCLID'S ELEMENTS. PROPOSITION 36. -THEOREM. If from a point without a circle two straight lines be drawn,...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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...the rectangle BE, ED. (ax. 1.) "Wherefore, if two straight lines, &c. QED PROP. XXXVI.— THEOREM. If from any point without a circle, two straight lines...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...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 294 sider
...common point of contact of the two circles, and be touched by the line which joins their centres. . 45. If from any point without a circle, two straight lines be drawn, making equal angles with the line through the centre, they will cut off equal segments from the circle....
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863
...of the segment revolves together with twice the angle in the segment equals four right angles. 13. If from any point without a circle two straight lines...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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