 | American Academy of Arts and Sciences - Humanities - 1848 - 390 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,... | |
 | American Academy of Arts and Sciences - Chimneys - 1848 - 32 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,... | |
 | Daniel Adams - Arithmetic - 1848 - 330 pages
...grind down, the waste hole through which the spindle passes, being 5 niches square ? NOTE. — The areas of circles are to each other, as the squar.es of their diameters. Ans. 6'675949 in., A grinds ; 10'310898 in., B grinds ; 11'942086 in., C grinds. 7. What is the greatest... | |
 | Daniel Adams - Arithmetic - 1848 - 342 pages
...That is, the contents of squares are to each oilier as the squares of their sides, and the contents of circles are to each other as the squares of their diameters. Hence, to perform the above example, square 'he diameter, multiply the square by 9, and extract the... | |
 | Daniel Adams - Arithmetic - 1848 - 324 pages
...That is, the "contents of squares are to each other as the squares of their sides, and the contents of circles are to each other as the squares of their diameters. Hence, to perform the above example, squar" 'he diameter, multiply the square by 9, and extract the... | |
 | Thomas Kelt - Mechanical engineering - 1849 - 424 pages
...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... | |
 | Rufus Putnam (of Salem, Mass.) - Arithmetic - 1849 - 174 pages
...л/8,265,456 = 2874.97+ = area of triangle BCD. 2442,33 + 2874.97 = 5,317.3 sq.ft. 161a. (21.) NOTE. — Since areas of circles are to each other as the squares of their diameters or similar dimensions, (Art. 164)) the diameters, or similar dimensions of circles are to each other... | |
 | Richard Dawes - Teaching - 1849 - 228 pages
...circumference of a circle whose diameter is unity, 3'14159 X £='78539 is the area, and that the area of circles are to each other as the squares of their diameters ; this expression they can work with practically afterwards, in measuring timber, &c.* The contents... | |
 | Frederick Augustus Griffiths - Artillery drill and tactics - 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... | |
 | Dana Pond Colburn - Arithmetic - 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 areas of circles are to each other as the squares of their diameters. 
