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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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 76
by John Playfair - 1819 - 333 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...is the greatefl ftraight line in a circle; -*- and of all others, that which is nearer to the center is always greater than one more remote; and the greater is nearer to the center than the lefs. Let ABCD be a circle, of which the diameter is AD, and center E; and let BC be...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...is the greateft ftraight line in a circle ; and, of all others, that which is nearer to the center is always greater than one more remote ; and the greater is nearer to the center than the lefs. Let ABCD be a circle, of which the diameter is AD, and center E ; and let BC...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...lines, &c. Q^ED 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...; 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 Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 272 pages
...circle, and, of the reft, that which is nearer the centre is greater than that which is more remote. Let ABCD be a circle, of which the diameter is AD, and the centre o ; then if BC be nearer the centre than ro, AD will be greater than BC, and BC than FG. For draw OH,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...lines, &c. Q^ 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...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 - Trigonometry - 1799 - 351 pages
...any ftraight 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...; 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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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...center is always greater than one m6re remote ; and the greater is nearer to the center than the lefs. Let ABCD be a circle, of which the diameter is AD, and, center E ; and let BC be nearer to the center than FG. AD is greater than any ftraight line BC which...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...lines, &c, 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...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) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...equal to one another. Prop. XV. Theor. The diameter is the greatest 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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...distant from the centre. PROP. XV. THEOR. THE diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre...and the centre --, E; and let BC be nearer to the cen- x tre than FG; AD is greater than any / straight line BC, which is not a dia- /^ meter, and BC...
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