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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 first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages

## Examination Papers

University of Toronto - 1900 - 1158 pages
...circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. (III. 26.) 6. If from any point without a circle two straight lines...the circle, and the other touches it ; the rectangle sustained by the whole line which cuts the circle and the part of it without the circle, shall be equal...

## A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...circle there are 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 is equal to the square on the line which meets the circle, then the line which meets the circle slwll...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...the centre to the point of contact is perpendicular to the line touching the circle. 8. Prove that if from any point without a circle two straight lines be drawn, of which one cuts the circle and the other touches it ; the rectangle contained by the whole line which...

## Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines...of which cuts the circle, and the other touches it; prove that the rectangle contained by the whole line which cuts the circle and the part of it without...

## Calendar of the University of Sydney

University of Sydney - 1902 - 640 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other touches 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 on the line which meets the circle, the line which meets the circle shall touch...

## Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - Geometry - 1903 - 154 pages
...also the measurements and multiplications. The result of our observations may be stated as follows: If from any point without a circle two straight lines be drawn, one a secant and the other a tangent, then the rectangle contained b3 r the secant and the part of it without...

## The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...Prove that the area of the second hexagon is to that of the first in the ratio 3 : I. 52. If from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle, a line drawn from the same point in any direction equal to the...

## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...circle there are 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 is equal to the square on the line which meets the circle, then the line which meets the circle shall...