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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. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 72
por Euclides - 1837 - 88 páginas
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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 Christmas,1875

Education Department,London - 1876 - 1010 páginas
...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 makes with the line touching the circle shall be equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOEEM. 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 makes with the line touching the circle shall be equal...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 páginas
...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 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 and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...the other, AD 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...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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Examination Papers: Moderations

University of Oxford - 1879 - 584 páginas
...square. 8. Bisect a given arc, that i«, divide it into two equal parts. 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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...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 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

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

Moffatt and Paige - 1879 - 378 páginas
...of this proposition. The Proposition is Euclid III. 32. The converse is—" If a straight line meet a circle, and from the point of contact a straight line be drawn cutting the circle, and if the angles made by this line with the line meeting the circle be equal to the angles which are...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...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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