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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 ... - Σελίδα 72
των Alexander Ingram - 1799 - 351 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...Therefore equal straight lines, &c. Q, ED . f± PROP. XV. THEOR. The diameter is the greatest straight line in a circle ; and of all others, that which is nearer to Ike centre is always greater than one more remote ; and the greater is nearer to the centre than the....

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...themselves are r= and .-. the given lines ar£ =. PROP. 15: THEOR. The diameter i& the greatest right line in a circle, and of all others that which is nearer to the centre is greater than the more remote. PART 1. The dianieter is greater than any other line. For connect the...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...Therefore equal straight lines, &c. UED Proposition XV. Tlteorem. 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 оце more remote ; and the greater is nearer to ;he centre than the less. Let ABCD be a circle of...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 σελίδες
...diameter is the greatest straight line in a eirele ; and of all others, that whieh is nearer to the eentre is always greater than one more remote ; and the greater is nearer to the eentre than the less. Let ABCD be a eirele, of whieh the diameter is AD, and the eentre E; and let...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...circle; and of all others, BC, FG ; BC, which is nearer to the centre, is always greater than FG, the one more remote, and the greater is nearer to the centre than the less. From the centre E, draw EH, EK, perpendiculars to BC, aCor.1.4.l.FG% and join EB, EC, EF ; and...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...lines, &c. QED tHyR. t3Ax. t 6 Ax. SeeN. 1 12. 1. PROP. XV. THEOR. 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. Let ABCD be a circle, of which the diameter is AD, and the centre E; and let BC be nearer to...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 σελίδες
...CD. 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 is...remote; 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 σελίδες
...CD. 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 is...nearer to the centre is always greater than one more r&mote ; and the greater is nearer to the centre than the less. Let ABCD be a circle, oC which the...

The first six books of the Elements of Euclid: with notes

Euclid, Thomas Elrington - 1833 - 183 σελίδες
...are also equal (8). PROP. XV. THEOR. The diameter is the greatest right line in a circle : Pig 22. and of all others that which is nearer to the centre is See N. greater than the more remote. Part. 1 . The diameter AB is greater than any other line ED. For...




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