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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... "
Public Education: As Affected by the Minutes of the Committee of Privy ... - Pàgina 444
per Sir James Kay-Shuttleworth - 1853 - 500 pàgines
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pàgines
...PROP. XV. THEO R. Sc«N. HPHE diameter is the greateft ftraight line in a circfc ; .!, 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 lefs. Let ABCD de a circle, of which...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 pàgines
...ED , , .,. -PROP. XV. THE OR;;. THE diameter is the greateft ftraight 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 left.- --v ' . ":V. .:."...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 pàgines
...line BC which PROP. XV. THEOR. THE diameter is the greaterl ftraight 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 lefs. Let ABCD be a circle, of which...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pàgines
...Q. E, D, PROP. XV. THEOR. See N. 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. •A 20. 1. Let ABCD be' a...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pàgines
...lines, &c. QED PROP. XV. THEOR. . 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pàgines
...lines, &c. Q, ED PROP. XV. THEOR. The diameter is the greatest straight line in a cirele ; 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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pàgines
...UED Proposition XV. Tlteorem. 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 оце more remote ; and the greater is nearer to ;he centre than the less. Let ABCD be a circle of...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pàgines
...SeeN. 1 12. 1. PROP. XV. THEOR. 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...
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The Element of Geometry

John Playfair - 1836 - 148 pàgines
...lines, &c. QED PROP. VII. THEOR. 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...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 pàgines
...= CD. PROPOSITION XV. 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 the more remote; and conversely, the greater is nearer to the centre than the less. Part 1st. That the...
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