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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

## The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...parallel to a chord, the point of contact will be the middle point of the arc cut off by that chord. 16. If from any point without a circle two straight lines be drawn one of which cute the circle and the other touches it, the rectangle contained by the whole line which cuts the...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...their four extremities shall all in the circumference of a circle. PROPOSITION XXXVI. THEOREM. //, from any point without a circle, two straight lines...touches it ; the rectangle contained by the whole lini' which cuts the circU, and the part of it without the circle, must be equa1 to the square on the...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...rectangle AE, EC is equal to the rectangle BE, ED. [Axiom 1. EUCLID'S ELEMENTS. PROPOSITION 36. THEOREM. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the otlier touches it; the rectangle contained by the whole line which cuts the circle, and the part of...

## The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...a right angled isosceles triangle, which are inscribed in a circle, are in the ration of 4 : 3. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle but does not pass through the centre, and the other touches it, the rectangle contained by the whole...

## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...a right angled isosceles triangle, which are inscribed in a circle, are in tie ration of 4 : 3. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle but does not pass through the centre, and the other touches it, the rectangle contained by Ħbe whole...

## The Civil service year book and official calendar

1884 - 266 pages
...two sides of a triangle as diameters they will intersect in the third side of that side produced. 10. If from any point without a circle two straight lines...the circle and the part of it without the circle, is equal to the square of the line which touches it. Upon any straight line AB describe a semicircle...

## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...produced such that QP= QB, prove that P will lie on an arc of a fixed circle passing through A and B. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle bcrt does not pass through the centre, and the other touches it: the rectangle contained by the whole...

## Annual Report of the Commissioners ..., Volume 50

1884 - 654 pages
...straight lines, one of which cuts the circle and the other meets it ; and if the rectangle c-oiitamcd 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 the circle touches it. 20 marks....