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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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...AX. of CG ; wherefore AB is equalf to CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. 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 Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...*6Ax. of CG; wherefore AB is equal* to CD. Therefore, equal straight lines, &c. QED PROP. XV. THEOR. . 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...double of c G ; wherefore AB is equal to CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. THE diameter is the greatest straight line in a circle;...the greater is nearer to the centre than the less. Let л BCD be a circle, of which the diameter is AD, and the centre E ; and let в c be nearer to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 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...greater than one more remote ; and the greater is nearer ti the centre than the less. O Let ABCD be a circle, of which the diameter is AD, and the centre E...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...wherefore AB is equalIT to CD. Therefore equal straight * 6 AX. lines, &c. QED PROPOSITION XV. THEOR. — 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...to CD. (ax. 6.) Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is Ihe greatest straight line in a circle; and, of all others,...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 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...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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...centre; and those which are equally distant from the centre, are equal to one another. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle...the greater is nearer to the centre than the less. PROP. XVI. THEOREM The straight line drawn at right angles to the diameter of a circle, from the extremity...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...double of CG; wherefore AB is equal to CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. 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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Papers for the schoolmaster, Volum 3

1867
...the circles which touch externally, and not be perpendicular to the line joining their centres. 2. The diameter is the greatest straight line in a circle ; and, of all others, that which is uearer to the centre is greater than one which is more remote ; and the greater is nearer to the centre...
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