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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. "
A System of Land Surveying and Levelling: Wherein is Demonstrated the Theory ... - Page ix
by Peter Fleming - 1815 - 164 pages
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...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 of 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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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pages
...through the centre it shall cut 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...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 in...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...the other, AD C, is greater than a right angle. Proposition 22. Theorem.—If a straight line touch 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 ivhich touches the circle, will be equal to the angles in the...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...3. Describe a square that shall be equal to a given rectilineal figure. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall be equal to the angles...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 584 pages
...square. 8. Bisect a given arc, that i«, divide it into two equal parts. 9. If a straight line touch a circle, and from the point of 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 are...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 pages
...of this proposition. The Proposition is Euclid III. 32. The converse is—" If a straight line meet a circle, and from the point of contact a straight line be drawn cutting the circle, and if the angles made by this line with the line meeting the circle be equal to the angles which are...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...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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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...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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(Report).

Elizabethan club - 1880 - 156 pages
...whole and one of the parts shall be equal to the square on the other part. 7. If a straight line touch 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 in...
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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
...equal, they are right angles. * " [I. Definition 10. PROPOSITION 32. THEOREM. : If a straight line touch a circle, and from the point of 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 are...
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