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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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...diameter is the greatest straight line in a circle; See N. and, of all others, that which is nearer to ike centre is always greater than one more remote ; and the greater is • to the centre than the less. Let ABCD be a circle, of which the diameter is AD, and the centre...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 σελίδες
...PROP. XV. THEOH. See N. The diameter is the greatest straight line in a circle : and, of all of hers, 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...

The Element of Geometry

John Playfair - 1836 - 114 σελίδες
...CD. Therefore, equal straight lines, &c. QED PROP. VII. 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 to...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...straight line in a circle ; and of all others, that which is nearest the centre is always greater than the more remote; and the greater is nearer to the centre than the less. XVI. The straight line drawn at right angles to the diameter of a circle, from the extremity...

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

John Playfair - 1837 - 318 σελίδες
...double of CG ; wherefore AB is equal to CD. 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 Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...A + B = C -f D ; then,if A = C, B=D; or PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle ; and of all others, that which is nearer...; and the greater is nearer to the centre than the less. Let ABCD he a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to...

A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...CG*, and .'. AF = CG, 2. that AB = CD. PROPOSITION XV. Theorem. 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 the more remote; and conversely, the greater is nearer to the centre than the less. Part 1st. That...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...: 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...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 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: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...; and the greater is nearer to the centre than the less. Let л BCD be a circle, of which the diameter is AD, and the centre E ; and let в c be nearer...




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