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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...
A companion to Euclid: being a help to the understanding and remembering of ... - Page 76
by Euclides - 1837 - 88 pages

## Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...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...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...

## Papers for the schoolmaster, Volume 3

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...

## University of Durham

University of Durham - Education, Higher - 1851 - 222 pages
...circle two straight lines he 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 without the circle is equal to the square of the line which touches it. 9. To describe a circle about...

## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...cuts the circle, and the other touches it : then the rectangle contained by the whole line cutting the circle and the part of it without the circle shall be equal to the square of the touching line. Let D be any point without the circle ABC, and from D let the straight lines DCA, DB...

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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...

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...drawn two straight, lines, one of which cuts the circle, and the other meets it ; and 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 shau touch the circle. LET...

## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...straight lines be drawn, one cutting the circle and the other meeting it, and if the rectangle under the whole line which cuts the circle, and the part of it without the circle, be equal in area to the square ou the line which meets it. If from a point within or without a circle...