 | Thomas Gaskin - Geometry, Analytic - 1847 - 301 pages
...equation to the parabola^ 4. Prove analytically that if from a point without a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the square of the line that touches the circle is equal to the rectangle contained by the straight line... | |
 | Euclides - 1848 - 52 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 it shall touch the circle.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...circle there be drawn two ttraight 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... | |
 | Education - 1850 - 488 pages
...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 of the line which meets it, the line which meets shall touch the circle. 2.... | |
 | 1852 - 316 pages
...of the line between the points of section. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...equal to the square of the line which touches it. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION. SECTION III, 1. What is the cost of a wall of brickwork... | |
 | University of Durham - Education, Higher - 1851 - 222 pages
...from the centre are equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 9. To describe a circle about... | |
 | 1867 - 336 pages
...through its centre, and the other touches it; the rectangle contained by the whole of the cutting line, and the part of it without the circle shall be equal to the square of the touching line. If two circles cut each other, and the line joining their points of intersection be... | |
 | Education - 1852 - 512 pages
...angle equal to a given rectilineal angle. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...equal to the square of the line which touches it. SECTION IV. — 1. To inscribe an equilateral and equiangular hexagon in a given circle. 2. If the... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...therefore AE.EC = BE. ED. PROP. XXXVI. THEOR. bisect' 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 whfyh cuts the circle, and the part of it without the circle, is equal to the square of the line which... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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... | |
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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... 
