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" IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 118
by Euclides - 1853
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED • PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line ba drawn at right angles to the touching line, the center of the circle ihali be in that line. Let...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...it touches it internally or externally. .. .. .. .. .. ..116 19. If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. .. .. .. .. .. .. 116...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...from the centre. What is the locus of the middle points of all equal chords of a circle? (15.) 29. If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line touching the circle shall be equal to the...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 584 pages
...equal circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. 9. If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...KAE is equal to the angle BAE (I. 8), and the two lines AK, AB, are equally inclined to AE. (QED) 12. If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig the circle shall be equal to the angles which...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...right angle; wherefore the other, AD C, is greater than a right angle. Proposition 22. Theorem.—If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles made by this line with the line ivhich touches the circle, will be equal to the angles in...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle, the angles which this line make with the line touching the circle shall be equal...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3. If a straight line touch a circle and from the point of contact a straight line be drawn meeting the circle, the angle which this line makes with the line touching the circle shall be equal...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pages
...it at right angles ; and if it cut it at right angles it shall bisect it. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle shall be equal to the angles which are...
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