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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 First Six Books of the Elements of Euclid: And Propositions I-XXI of ... - Seite 124
von Euclid, John Casey - 1885 - 312 Seiten
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...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 the diameter is AD, and centre E ; and let BC be nearer to the...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 Seiten
...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. .:." ..' Let ABCD be a circle, of w^hich the diameter is AD, and the centre E ;...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...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 the diameter is AD, and be nearer to the greater than not a diameter,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...line in a circle ; and of all other lines 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 diameter is AD, and the centre E ; and let BC be nearer to the centre...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...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 circle, of which the diameter is AD, and the centre E ; and let BC be nearer...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...straight line in a circle; and. uf all others, that which is nearer to the centre is always greater thin one more remote; and the greater is nearer to the centre than the less, * Prop. XVI. Theor. The straight line drawn at right angles to the diameter of a circle, from the extremity...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...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 diameter is AD, and the centre E ; and let BC be nearer to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...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 the diameter is AD, and the centre E ; and let BC be nearer to the centre...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 Seiten
...circle; and of all others, BC, FG ; BC, which is nearer to the centre, is always greater than FG, the one more remote, and the greater is nearer to the centre than the less. From the centre E, draw EH, EK, perpendiculars to BC, aCor.1.4.l.FG% and join EB, EC, EF ; and because...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...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 diameter is AD, and the centre E; and let BC be nearer to the centre...
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