 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1860 - 332 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... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...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.... | |
 | Robert Potts - 1863 - 482 pages
...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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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... 
