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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 first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages

## The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...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...

## A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...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...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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...

## A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...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...

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...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...

## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...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....

## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...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...

## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...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...