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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... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 31
av Euclides - 1861
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Papers for the Schoolmaster, Volum 1

1851
...lines cut one another, which do not both pass through the centre, they do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which is nearer to the centre is always greater than the one more remote : and the...
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The English Journal of Education, Volum 6

1852
...straight lines cut one another, which do not pass through the centre, they do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which is nearer to the centre is always greater than the one more remote : and the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...CG; wherefore 5. AB is equal to CD. Therefore, equal straight lilies, &c. QKII. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle;...the greater is nearer to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre E; and let BC be nearer to the centre...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...Therefore equal straight lines, etc. QED PROPOSITION XV. THEOB. The diameter is the greatest straight-line in a circle ; and, of all others, that which is nearer...the greater is nearer to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre E ; and let EC be nearer to the centre...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...wherefore ab is equal to С d. Therefore equal straight lines, &e. QED PROPOSITION XV. — THEOREM. The diameter is the greatest straight line in a circle,...of all others that which is nearer to the centre is alivays greater tJюп one more remote, and the greater is nearer to the centre than the less. LET...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 sider
...lines cut one another, which do not both pass through the centre, they do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which Is nearer to the centre is always greater than the one more remote ; and the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 sider
...to CG : But AB is double of AF, and CD double of CG ; wherefore AB is equal to CD. PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all other A, that which is nearer to the centre is always greater than one more remote ; and the greater...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 sider
...do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which is nearer to the centre is always greater than the one more remote ; and the greater is always nearer to the centre than the less. 3. To inscribe...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...AB = CD ; Л equal chords, &c. QED PROPOSITION XY.— THEOREM. 27i« diameter is the greatest chord in a circle : and of all others, that which is nearer...the greater is nearer to the centre than the less. Let E be the centre of the circle ABCD, and let BC be nearer to it than FG : the diameter AD is the...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...the circumference of a circle, the straight line which joins them shall fall within the circle. 2. The diameter is the greatest straight line in a circle...which is nearer to the centre is always greater than the one more remote : and the greater is nearer to the centre than the less. 3. If from any point without...
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