 | Euclides - 1814 - 560 pages
...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...the circle, and the part of it without the circle, shall be tqual to the square of the line which touches it. Let D be any point without the circle ABC,... | |
 | Euclides - 1816 - 588 pages
...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...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,... | |
 | John Playfair - 1819 - 354 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 the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Let... | |
 | John Mason Good - 1819 - 800 pages
...circle liiere be drawn two straight hues, one of which cuts the circle, und the oilier meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...convex circumference, For (E.36.3. cor.) the rectangle contained by the one of the lines, so drawn, and the part of it without the circle, is equal to the rectangle contained by the other line and the part of it without the circle ; .-. (E. 16. 6.) the two... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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...which cuts the circle, and the part of it without the circlei shall be equal to the square of the line which touches it. Let D be any point without the circle... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Proposition XXXVI. Theorem. 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...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,... | |
 | George Lees - 1826 - 276 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 the circle, be equivalent to the square of the line which meets it, the line which meets also touches the circle.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 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 - 548 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.*... | |
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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... 
