| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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.... | |
| 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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