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" 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 in the alternate segments of the circle. "
Examination papers, and division lists, &c. [afterw.] General certificate of ... - Página 60
por Oxford univ, local exams - 1880
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 páginas
...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 páginas
...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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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 páginas
...circle ; the angles •which this straight line makes with the line touching the circle shall be egual to the angles which are in the alternate segments of the circle. Lot the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD...
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Examination Papers: Moderations

University of Oxford - 1879 - 584 páginas
...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...which are in the alternate segments of the circle. 10. If from any point without a circle there be drawn two straight lines, one of which cuts the circle,...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...sides is a right angle. 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...be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall be equal to the angles which are in the...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 páginas
...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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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 páginas
...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 ..., Volumen23

1879 - 636 páginas
...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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...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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