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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. "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 99
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 Seiten
...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...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 in the alternate...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 Seiten
...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...contact a straight line be drawn cutting the circle, the amjles nuule by this line with the line touching the circle must be equal to the angles, which are...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 Seiten
...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...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 alternate...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 Seiten
...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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Band 23

1879 - 636 Seiten
...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 in the alternate...
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Parliamentary Papers, Band 22

Great Britain. Parliament. House of Commons - 1879 - 632 Seiten
...at right angles ; and if it cut it at right angles it shall bisect it. 6. 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 in the alternate...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 Seiten
...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 Seiten
...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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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 Seiten
...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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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 Seiten
...any point, the straight line which joins their centres shall pass through that point of contact. 6. If a straight line touch a circle, and from the point...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 in the alternate...
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