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" If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments. "
Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 150
by Euclid - 1890 - 400 pages
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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 of contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line touching the...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 586 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 of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall...
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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...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 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 of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall...
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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...
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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 of contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig the circle shall...
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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 of contact a straight line be drawn cutting the circle, the angles made by this line with the line ivhich touches the circle,...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the greater may be twice the part intercepted by the circumference of the less. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contort 9 straight line be drawn cutting the circle, the angles made by this line iirith the line touching...
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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
...angles ; [I. 32. and when the adjacent angles are equal, they are right angles. * " [I. Definition 10. PROPOSITION 32. THEOREM. : If a straight line touch...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...
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(Report).

Elizabethan club - 1880 - 156 pages
...rectangle contained by the 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...
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