 | John Playfair - 1833 - 346 Seiten
...straight lines, on» of which cuts the circle, and the other meets it ; if the rectangle eon* tained by the whole line, which cuts the circle, and the part of it with* out the circle,*be equal to the square of the line which meets it, the line which meets shall... | |
 | Euclides - 1834 - 518 Seiten
...other meets the circle, ' and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square " 37. 3. of BD which meets it,, the straight line BD touches * the circle ACD : and because BD touches... | |
 | Robert Simson - 1835 - 544 Seiten
...QED PROP. XXXVI. THEOR. 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...equal to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from it, of which DCA... | |
 | John Playfair - 1835 - 336 Seiten
...AE.EC=BE.ED. PROP. XXXII. THEOR. 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...without the circle, is equal to the square of the line whith touches it. Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from... | |
 | Euclid - 1835 - 540 Seiten
...QED PROP. XXXVI. THEOR. 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 tJie circle, and the part of it without the circle, is equal to the square of the line which touches... | |
 | Robert Mudie - 1836 - 542 Seiten
...If from any point, without the circumference of 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, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | Robert Mudie - 1836 - 524 Seiten
...If from any point, without the circumference of 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, and the part of that line without the circle, is equal to the square of the line which touches. The... | |
 | 1836 - 488 Seiten
...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.... | |
 | Mrs. L. H. Tyler - 1837 - 302 Seiten
...less is the polar than the equatorial di ameter ? What is the curvature of the earth for one mile ? rectangle* contained by the whole line which cuts...equal to the square of the line which touches it, ie the distance cn multipled into nb, equals the square of a b : Now the square of ab, or one mile,... | |
 | Euclides - 1837 - 112 Seiten
...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 shall touch the circle. Steps... | |
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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... 
