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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. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 81
door John Playfair - 1856 - 318 pagina’s
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Examination Papers: Moderations

University of Oxford - 1879 - 584 pagina’s
...a circle in a given 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...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...equilateral, and the angle CAB is a right angle (hyp.), therefore it is a square (I. 46 cor.). QED 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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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 pagina’s
...less. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contort 9 straight line be drawn cutting the circle, the angles made by this line iirith the line touching the circle must be equal to the angles, which are in the alternate segments...
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(Report).

Elizabethan club - 1880 - 156 pagina’s
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. If a straight line touch a circle, and from the point...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....
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pagina’s
...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 makes with the line touching the circle shall be equal...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pagina’s
...any point, the straight line which joins their centres shall pass through the point of contact. 7. 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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...therefore FC is perpendicular to DE. \VTierefore, if a straight line &c. QED PROPOSITION 19. THEOREM. If a straight line touch a circle, and from the point of contact a straight line lie drawn at right angles to the touching line, the centre of the circle shall be in that line. Let...
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