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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...
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 33
av Euclides - 1861
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...ftraight lines, &c. Q^ ED SccN. B «. to. I, PROP. XV. THEOR. 'THHE diameter 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....
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## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...fore equal ftraight lines, &c. Q^ED i 20. t. PRO P. XV. THEO R. THE diameter 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....
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## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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 First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...equal ftraight lines, &c. Q^ ED , , .,. -PROP. XV. THE OR;;. THE diameter is the greateft ftraight line in a circle.; and, of all others, that which...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 sider
...centre than FG ; AD is any ftraight line BC which PROP. XV. THEOR. THE diameter is the greaterl ftraight line in a circle ; and, of all others, that which...; 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
...equal ftraight lines, &c. Q^E. D, SeeN. jo. i, T PROP. XV. THEOR. HE diameter is the greateft ftraight line in a circle; and of all others, that which is nearer to the center is always greater than one m6re remote ; and the greater is nearer to the center than the lefs....
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...wherefore AB is equal to CD. Therefore, equal straight lines, &c, Q. E, D, PROP. XV. THEOR. See N. THE diameter is the greatest straight line in a circle;...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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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...equal to CD. Therefore, equal straight lines, &c. QED a CO. 1. b 4. Def. 3. c3. 3. PROP. \V. THEOR. THE diameter is the greatest straight 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...
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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 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 - 1816 - 528 sider
...double of CG ; wherefore AB is equal to CD. Therefore equal straight * lines, &c. QED PROP. XV. THEOR. . THE diameter is the greatest straight line in a circle...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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