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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 made by this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 87
av John Playfair - 1833 - 333 sider
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 sider
...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 in the alternate segments of the circle. If a tangent be defined as the limiting position of a secant, show that the tangent to a circle is...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 sider
...F. The arc AF shall be treble the arc BE. 8. 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 straight line makes with the line touching the circle shall be equal to the angles which...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...[I. Definition 10. PROPOSITION 32. THEOREM. : 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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...part of this proposition. VS. OP. XXXII THEOREM. 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 straight line makes with the tangent are equal to the anyles in the alternate segments of...
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Elements of Geometry

Simon Newcomb - 1881 - 418 sider
...let a tangent DAD' be drawn at one end of the chord AB, suppose A. 2. The angles BAD and BAD' will be equal to the angles in the alternate segments of the circle (§§ 234, 235). 3. Therefore the required circle will be one of which the tangent at A makes an angle...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 sider
...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,...this line with the line which touches the circle, will be equal to the angles in the alternate segments of the circle. Let the straight line EF touch...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882 - 418 sider
...centre are together double of the angle AEG. 2. 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 must be equal to the angles, which are in the alternate segments of the circle....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 sider
...point with the centre of the given circle. 12. 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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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 sider
...to either of . these three straight lines. 7. 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 straight line makes with the line touching the circle shall be equal to the angles in the...
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The Cambridge Examiner, Volum 2

1882 - 498 sider
...from the opposite angle and the acute angle. 7. 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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