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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...
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 72
των Alexander Ingram - 1799 - 351 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...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 others, that which is...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...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is Ihe greatest straight line in a circle; and, of all others, that which is...remote: and 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...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...equal straight * 6 AX. lines, &c. QED PROPOSITION XV. THEOR. — The diameter is the greatest straight line in a circle; and, of all others, that which is...: and 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...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 others, that which is...; and 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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...from the centre, are equal to one another. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which...: and 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 first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...CD. Therefore equal straight lines, &c. QED PROP. XV. THEOR. The diameter is the greatest straight line in a circle; and, of all others, that which is...remote; and 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...

Papers for the Schoolmaster, Τόμος 1

1851
...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...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...Therefore, equal straight lilies, &c. QKII. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle; and, of all others, that which is...remote; and 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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...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...: and 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 σελίδες
...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...; and 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...