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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 - 1829 - 252 pages
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The Mechanic's, Machinist's, and Engineer's Practical Book of Reference ...

Charles Haslett - Engineering - 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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Arithmetic and Its Applications: Designed as a Text Book for Common Schools ...

Dana Pond Colburn - Arithmetic - 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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Mechanics and Engineers Book of Reference and Engineers Field Book

Charles W. Hackley - Engineering - 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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The Mechanic's Text-book and Engineer's Practical Guide ...

Mechanical engineering - 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 - Teaching - 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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The Common-school Arithmetic: a Practical Treatise on the Science of Numbers

Dana Pond Colburn - 1858 - 288 pages
...circle is 4 ft, its area will equal 4" X «.141« ,,.::.:>,-. 3.1410 sq. ft - 50.2656 sq. ft f z. ) The areas of circles are to each other as the squares of their diameters or of their radii. ILLUSTRATION. — The area of a circle 6 ft in diameter is 4 times the area of a...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 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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Animal Physiology

William Benjamin Carpenter - Physiology - 1859 - 632 pages
...these will convey no more blood than the single trunk. For, according to a simple rule in geometry, the areas of circles are to each other as the squares of their diameters. The area of the trunk is expressed, therefore, by the square of 10-1, which is almost exactly 102....
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Lectures Delivered at the Bristol Mining School, 1857

Bristol Mining School - Geology - 1859 - 312 pages
...to force water into a large cylinder, the piston of which is moved by the force transmitted. Now, as areas of circles are to each other as the squares of their diameters, it is plain that if the diameter of the plunger be one inch, and that of the piston 30 inches, a force...
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