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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 ... - Pagina 71
door John Playfair - 1855 - 318 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...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 - 1775 - 520 pagina’s
...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 pagina’s
...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...; 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 - 1789 - 272 pagina’s
...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 ...

John Playfair - 1795 - 400 pagina’s
....,. -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...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 - 351 pagina’s
...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...; 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 - 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...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...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, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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 - 1814
...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 is always greater...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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