| War office - 1858 - 578 pages
...circle there be drawn two straight lines, 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 the circle,** is equal to the square of the line which meets it, then the line which meets the circle will touch... | |
| 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 - 352 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... | |
| Civil service - 366 pages
...angle at 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... | |
| 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... | |
| 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... | |
| 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.... | |
| |