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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 84
by John Playfair, Euclid - 1804 - 440 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...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 - Trigonometry - 1775 - 534 pages
...double of CG ; wherefore AB is equal to CD. There. fore equal ftraight lines, &c. Q^ED i 20. t. PRO P. XV. THEO R. THE diameter is the greateft ftraight...; 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 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...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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...AB is equal to CD. Therefore equal ftraight lines, &c. Q-_E. D. PRO P. XV. THEOR, Ste N. r • IJJE 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 J and the greater is nearer to the center than the lefs....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...BC 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...ABCD be a circle, of which the diameter is AD, and be nearer to the greater than not a diameter, and BC greater than FG. a i». i. From the centre draw...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...wherefore AB is equal to CD. 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 - Trigonometry - 1806 - 546 pages
...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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 pages
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...straight lines, &c. Q, ED PROP. XV. THEOR. The diameter is the greatest straight line in a cirele ; and of all others• that which is nearer to the centre...; 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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