 | Robert Simson - 1827 - 546 sider
...equal -)- to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. If from any point without a circle two straight lines...; the rectangle contained by the whole line which a1ts the circle, and the part of it without the circle, shall be equal to the square of the line which... | |
 | Euclid, Robert Simson - 1829 - 548 sider
...straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy the whole line, which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets it shall touch the circle.*... | |
 | Euclid - 1835 - 540 sider
...is equal to the rectangle BE, ED. Wherefore, « if two straight lines," &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines...the rectangle contained by the whole line which cuts tJie circle, and the part of it without the circle, is equal to the square of the line which touches... | |
 | Robert Mudie - 1836 - 542 sider
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which...rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | Robert Mudie - 1836 - 524 sider
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which...rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | 1836 - 488 sider
...circle there be drawn two straight 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 a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv.... | |
 | Euclides - 1837 - 112 sider
...showing that AE x EC and BE x ED are each = GE x EH, and .'. = each other. PROPOSITION XXXVI. Theorem. If from any point without a circle two straight lines...the circle, and the other touches it, the rectangle B/ contained by the whole line which cuts the circle, and the part of it without the circle, shall... | |
 | Euclid, James Thomson - 1837 - 410 sider
...circle there be drawn two straight 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 which meets it, the line which meets the circle touches it. If from... | |
 | Thomas Oswald Blackett - 1838 - 136 sider
...correction for the curvature of the earth may be found according to (Prop. 36, 3d. Book Euclid}. " If from any point without a circle two straight lines...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it." Let D be any point without the circle ABC,... | |
 | Robert Simson - 1838 - 434 sider
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| |
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... 
