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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 Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Side 72
av Alexander Ingram - 1799 - 351 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...equal 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 - 534 sider
...There. 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 - 552 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...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 centre than FG...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 sider
...Therefore 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...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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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 sider
...equal to CD. Therefore equal ftraight lines, 8cc. Q^ED PROP. XV. THEO R. THE diameter is the greateft ftraight line in a circle ; and, of all others, that...ABCD be a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to the centre than FG ; AD is greater than any ftraight line BC...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 sider
...Therefore 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 - 546 sider
...Therefore, equal straight 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...; 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...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...; 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...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 - 588 sider
...Therefore equal straight * lines, &c. QED PROP. XV. THEOR. . THE diameter is the greatest straight line in a circle ; and, of all others, that which...: 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...
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