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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... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 93
by John Keill - 1723 - 364 pages
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...may be double that in the other. 3. 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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...AE.EB-CE.ED. Proposition 27. Theorem.—If from a 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 and the part without the circle, will be equal to the square of the line...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...which shall touch a given circle. 7. 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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...linet &c. QED PROPOSITION 38. THEOREM. 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...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 670 pages
...these angles all pass through one point. 7. If from any point on a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the angles between the cutting and touching lines are equal to the angles in the alternate segments of...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...circumferences, must be equal. 15. 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, must be equal...
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Guide to employment in the Civil service

Civil service - 1882 - 308 pages
...State it carefully, and prove it. 2. 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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...produced and the part produced. 3. . 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, must be equal...
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The Civil service year book and official calendar

1884 - 266 pages
...third side of that side produced. 10. 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...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...proposition (Euclid 36, Book in.), that "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...
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