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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, is equal to the square of...
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858

## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 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 a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv....

## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...AE.EC is equal to the rectangle BE.ED. If, therefore, two chords of a circle, &c. PROP. XXXVI. THEOR. 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. Let D be any point without the circle ABC, and...

## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...showing that AE x EC and BE x ED are each = GE x EH, and .'. = each other. PROPOSITION XXXVI. Theorem. If from any point without a circle two straight lines...the circle, and the other touches it, the rectangle B/ contained by the whole line which cuts the circle, and the part of it without the circle, shall...

## A Treatise on Astronomy: Illustrated with Maps and Plates

Mrs. L. H. Tyler - Astronomy - 1837 - 302 pages
...less is the polar than the equatorial di ameter ? What is the curvature of the earth for one mile ? rectangle* contained by the whole line which cuts the circle, and the part of it without the circle is equal to the square of the line which touches it, ie the distance cn multipled into nb, equals the...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...circle there be 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 shall touch the circle. Let...

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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 meeti shall touch the circle. Let...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...because, as has been shown, AE.EC = GE.EH, and BE.ED=GE.EH; therefore AE.EC=BE. ED. PROP. XXXVI. THEOR. 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. Let D be any point without the circle ABC, and...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point on the exterior of a circle two straight lines be drawn, one of which...whole line which cuts the circle, and the part of it which is on the exterior of the circle, shall be equivalent to the square of the line which touches...