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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 Practice of Engineering Field Work, Applied to Land, Hydrographic, and ... - Página 43
por W. Davis Haskoll - 1858 - 324 páginas
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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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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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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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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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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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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...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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Parliamentary Papers, Volumen22

Great Britain. Parliament. House of Commons - 1879 - 632 páginas
...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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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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