| John Playfair - 1833 - 333 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 - 513 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 - 316 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 - 472 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.... | |
| 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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