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" THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pàgina 61
per John Playfair - 1855 - 318 pàgines
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pàgines
...according аз the vortical angle is lesa or greater than a right angle. 3. In a circle the straight line which is nearer to the centre is always greater than one more remote. If a square and any other parallelogram be inscribed in a circle, the side of the square is greater...
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Examination Papers: Moderations

University of Oxford - 1879 - 584 pàgines
...about a given square. 7. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 8. In equal circles, the angles which stand on equal arcs are equal to one another, whether they be...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 pàgines
...square on half the line. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. Describe a square about a given circle. 6. Define ratio, part, invertendo, and ex aequali. 7. Triangles...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pàgines
...is the greatest chord in a circle, and of all others ftfi( which is nearer to the centre is alu"u/n greater than one more remote ; and the greater is nearer to the centre than the Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pàgines
...algebraical formula. 2. The diameter is the greatest straight line in a circle : and of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. From a given point without a circle, draw a straight line, the part of which intercepted by the circle...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pàgines
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ;_ and the greater is nearer to the centre than the less. Let ABCD be a circle, of which AD is a diameter,...
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The Cambridge Examiner, Volum 4

1884 - 538 pàgines
...squares on the diagonals. 6. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 8. If any two points be taken in the circumference of a circle, the straight line which joins them...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pàgines
...the greatest straight line in a circle ; and, of all others, that which is nearer to the centre it greater than one more remote : and the greater is nearer to the centre than the le!s. Let ABCD be a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to...
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The Cambridge Examiner, Volum 1

1881 - 504 pàgines
...the line to the plane. 13. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the centre is always greater than one more remote. Two parallel chords in a circle are respectively six and eight inches in length and one inch apart....
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The Oxford examiner, ed. by M.W.I. Shilleto, Edicions 1-5

Mary W I. Shilleto - 1882 - 418 pàgines
...may be equal to a given square. 2. The diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater...remote ; and the greater is nearer to the centre than tie less. Show that all equal chords in a circle will be touched by another circle. 3. In a circle,...
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