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" The areas of circles are to each other as the squares of their diameters. "
Journal of the Franklin Institute - Page 308
1869
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - 1854 - 406 pages
...contains a greater area than any other plane figure, bounded by an equal perimeter, or outline. 2. The areas of circles are to each other as the squares of their diameters ; any circle twice the diameter of another contains four times the area of the other. 3. The diameter...
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The British Controversialist and Impartial Inquirer, Volume 5

1854 - 500 pages
...Again, the superficial admeasurement of a sphere varies as the area of one of their great circles, and the areas of circles are to each other as the squares of their diameters. .-. if y=the diameter required, iy3 : 79123 ::2:1, , ,. 7Q1 9 x /2 = 7912x1-414213 = 11189-253256 miles....
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Patents 1848-67: Pamphlet Volume

1855 - 628 pages
...mean diameter, that at the top being 15.5 inches, and at the bottom 14 inches, is 14.75 inches. As the areas of circles are to each other as the squares of their diameters, we have these areas in the proportion of 217.56 to 1. This number multiplied by the depth in inches,...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - 1855 - 396 pages
...diameter. (z.) The area of a circle also equals the square of its radius multiplied by 3.1416. (y.) The areas of circles are to each other as the squares of their diameters or radii. 228. Problems. GENERAL DIRECTION. — Draw figures to correspond to the conditions of each...
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - 1855 - 482 pages
...capacious of all plane figures, or contains the greatest area within the same perimeter or outline. 2. The areas of circles are to each other as the squares of their diameters, or of their radii. 3. Any circle whose diameter is double that of another, contains four times the...
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Mechanics and Engineers Book of Reference and Engineers Field Book

Charles W. Hackley - 1856 - 530 pages
...capacious of all plane figures, or contains the greatest area within the same perimeter or outline. 2. The areas of circles are to each other as the squares of their diameters, or of their radii. 3. Any circle whose diameter is double that of another, con tains four times the...
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - 1855 - 544 pages
...capacious of all plane figures, or contains the greatest area within the same perimeter or outline. 2. The areas of circles are to each other as the squares of their diameters, or of their radii. 3. Any circle whose diameter is double that of another, contains four times the...
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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - 1856 - 392 pages
...diameter. (x.) The area of a circle also equals the square of its radius multiplied by 3.1416. (y.) The areas of circles are to each other as the squares of their diameters or radii. * More accurately, 3.141592653589 ; but the above is sufficiently exact for most purposes....
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The Mechanic's Text-book and Engineer's Practical Guide ...

1855 - 420 pages
...circle contains a greater area than any other plane figure bounded by the same perimeter or outline. 2. The areas of circles are to each other as the squares of their diameters ; any circle twice the diameter of another contains four times the area of the other. 3. The radius...
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Suggestive Hints Towards Improved Secular Instruction: Making it Bear Upon ...

Richard Dawes - 1857 - 272 pages
...is the circumference of a circle whose diameter is unity, 3'14159 + J = '78539 is the area, and that the areas of circles are to each other as the squares of their diameters ; this expression they can work with practically afterwards, in measuring timber, etc. The contents...
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