| Euclid - 1826 - 180 pages
...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 whole cutting line, and that part between the point taken without the circle,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...straight lines, &c. 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...; 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 - Geometry - 1829 - 516 pages
...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 - Euclid's Elements - 1833 - 333 pages
...two straight lines, &c. 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** contain- ' ed by the whole line which cuts the circle, and the part of it without the circle, is equal... | |
| Euclid - 1835 - 513 pages
...straight lines," &c. 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...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 - Mathematics - 1836 - 496 pages
...now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines **be drawn, one of which cuts the circle and the other...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 - Mathematics - 1836 - 496 pages
...now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines **be drawn, one of which cuts the circle and the other...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... | |
| Mathematics - 1836 - 472 pages
...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.... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...two chords of a circle, &c. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines **be drawn, one of which cuts the circle, and the other...the circle, and the part of it without the circle,** is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
| L. H. Tyler - 1837
...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 the circle, and the part of it without the circle** is equal to the square of the line which touches it, ie the distance cn multipled into nb, equals the... | |
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