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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. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Pagina 65
door Royal Military Academy, Woolwich - 1853
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 pagina’s
...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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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pagina’s
...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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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pagina’s
...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...which are in the alternate segments of the circle, a circle be described on the radius of another circle's diameter, any chord of the outer circle drawn...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - 1879 - 632 pagina’s
...; 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...which are in the alternate segments of the circle. 7. If a circle be described on the radius of another circle's diameter, any chord of the outer circle...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pagina’s
...; aud 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...touching the circle shall be equal to the angles which arc in the alternate segments of the circle. 7. If a circle be described on the radius of another circle's...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 pagina’s
...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...circle, the angles made by this line with the line ivhich touches the circle, will be equal to the angles in the alternate segments of the circle. Let...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 pagina’s
...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 be equal to the angles which are in the...
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Examination Papers: Moderations

University of Oxford - 1879 - 584 pagina’s
...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 be equal to the angles which are in the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pagina’s
...into three parts, which shall be in the ratios of 3 : 4 : 5. 3. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall be equal to the angles which are...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pagina’s
...by the circumference of the less. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from, the point of 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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