 | Euclides - 1826 - 226 pàgines
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, one of which cuts the circle, and the other touches it, the rectangle which is contained by the wlwle cutting line, and, that part between the point taken without the circle,... | |
 | Robert Simson - 1827 - 546 pàgines
...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 pàgines
...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.*... | |
 | John Playfair - 1833 - 346 pàgines
...BE.ED = GE.EH ; therefore AE.EC = 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 other touches it ; the rectangle contain- ' ed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
 | Euclid - 1835 - 540 pàgines
...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 - 524 pàgines
...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 - 542 pàgines
...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... | |
 | Euclides - 1837 - 112 pàgines
...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 pàgines
...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 pàgines
...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,... | |
| |
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... 
