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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... "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages
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THE SOLUTIONS OF GEOMETRICAL PROBLEMS

THOMAS GASKIN, M.A., - 1847
...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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 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...
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The English Journal of Education, Volume 4

Education - 1850
...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....
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Papers for the Schoolmaster

1852
...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...
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University of Durham

University of Durham - Education, Higher - 1851
...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...
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Papers for the schoolmaster, Volume 3

1867
...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...
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The English Journal of Education, Volume 6

Education - 1852
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 317 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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...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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