 | Euclides - 1816 - 588 pages
...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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | John Playfair - 1819 - 354 pages
...the circle. A D. PROP. XXXVII. THEOR. ff from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be taken without .the... | |
 | John Mason Good - 1819 - 800 pages
...point without в 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...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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 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
...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 of the line which touches it. Let D be any point without the circle ABC,... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...produced meets the quadrantal arch, from the other radius. LIX. TH. If the angle contained by two straight lines, one of which cuts the circle and the other meets it, be equal to the angle in the alternate segment of the circle, the straight line which meets, shall... | |
 | George Lees - 1826 - 276 pages
...lines be drawn, one of which DA cuts the circle, and the other DB touches it ; the rectangle AD. DC contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of DB, the line which touches it. ' First, let DCA pass through the centre E,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...the circle. PROP. XXXVII. THEOR. See N. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...without the circle, be equal to the square- of the line which meets it, the line which meets shall touch the circle. Let any point D be taken without the circle... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...touches the circle. 'C PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two 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... | |
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IF from a point without a 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... 
