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" The areas of circles are to each other as the squares of their diameters. "
An Introduction to Mensuration and Practical Geometry - Page 50
by John Bonnycastle - 1833 - 288 pages
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The American Amateur Photographer, Volume 7

Photography - 1895 - 644 pages
...the light admitted through a lens varies as the area of the circular aperture or diaphragm, and as the areas of circles are to each other as the squares of their diameters, and as the diameters of diaphragms may be, and are expressed in fractions of the focal length, therefore...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...one being 5 times that of the other, and show the truth of the following principle: PRINCIPLE 50. — The areas of circles are to each other as the squares of their diameters, or as the squares of their radii, 97. How many times is the area of a circle whose radius is 2 inches...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1895 - 1234 pages
...-^. 7854 ;=~; Л = ; =0.«1881С; :=2V; =1.12838*^"; Л = £; = 0.159155C; = V '-; = 0.504189 »'л. Areas of circles are to each other as the squares of their diameters. To find the length of an arc or a. circle : BtruB 1. As 360 is to the number of decrees in iliu arc,...
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Experimental Physics

William Abbott Stone - Physics - 1897 - 392 pages
...diameter. A wire 2mm in diameter has four times the area of cross-section of a wire lmm in diameter, since the areas of circles are to each other as the squares of their diameters ; consequently a wire lm long and lmm in diameter would have a resistance of — x 4 = x. But the 4...
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First Principles of Natural Philosophy

Amos Emerson Dolbear - Physics - 1897 - 344 pages
...the conductor. When the diameter of a wire is doubled, its cross section is increased four times, for the areas of circles are to each other as the squares of their diameters. Hence a wire 150 feet long and .08 of an inch in diameter will have a resistance of only one-fourth...
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Inspection of the Materials and Workmanship Employed in Construction: A ...

Austin Thomas Byrne - Building - 1898 - 574 pages
...The circle contains a greater area than any plane figure bounded by an equal perimeter or outline. The areas of circles are to each other as the squares of their diameters. Any circle whose diameter is double that of another contains four times the area of the other. The...
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Compend of Mechanical Refrigeration: A Comprehensive Digest of Applied ...

John Ewald Siebel - Refrigeration and refrigerating machinery - 1899 - 470 pages
...The circle contains a greater area than any plane figure bounded by an equal perimeter or outline. The areas of circles are to each other as the squares of their diameters. Any circle whose diameter is double that of another contains four times the area of the other. Area...
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A Laboratory Manual in Astronomy

Mary Emma Byrd - Astronomy - 1899 - 296 pages
...proportional to their areas, and the pupil of the eye is only about 0.2 of an inch in diameter. Since the areas of circles are to each other as the squares of their diameters, if L and JJ represent the quantities of light which fall on the eye and on the objective, we have the...
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A Laboratory Manual in Astronomy

Mary Emma Byrd - Astronomy - 1899 - 296 pages
...proportional to their areas, and the pupil of the eye is only about 0.2 of an inch in diameter. Since the areas of circles are to each other as the squares of their diameters, if L and L' represent the quantities of light which fall on the eye and on the objective, we have the...
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Rider's Little Engineer: A Pocket-book of Engineering and Other Data ...

Joseph Benjamin Rider - Engineering - 1901 - 546 pages
...circle whose diameter is double that of another, contains four times the area of the other or the area of circles are to each other as the squares of their diameters. Area of a circle = area of a triangle whose base = circumference, and height = the' radius of the circle....
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