 | William Templeton (engineer.) - 1833 - 224 pages
...capacious of all plain 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... | |
 | William Ruger - 1836 - 274 pages
...stake, to give him the liberty of eating two acres of grass 1 . Ans. 55| yards. NOTE. — The area of circles are to each other, as the squares of their diameters. To find the area of a globe or ball. RULE. — Multiply the whole circumference by the whole diameter,... | |
 | William Grier - 1836 - 384 pages
...74. The circumferences of all circles are to each other as their diameters. 75. The areas or spaces of circles, are to each other as the squares of their diameters, or of their radii. 76. The area of any circle, is equal to the rectangle ot half its circumference... | |
 | 1837 - 136 pages
...These numbers are found by continued fractions. • To find the area, having the diameter .—Since the areas of circles are to each other as the squares of their diameters, it will be, as 22 : D2 : 3-1416 : the area of the circle whose D2 diameter is D, this ==-^-X 3.1416... | |
 | Luther Ainsworth - 1837 - 298 pages
...circle, 30 inches. Diameter of the second circle, 42,42. Diameter of the third circle, Jj" The area of circles are to each other, as the squares of their diameters. When the diameter is 1, the area is found to be ,7854 decimal. Therefore it is, that the square of... | |
 | Thomas Kerigan - 1838 - 700 pages
...0. 7853981625, is the area, or superficies, of a circle wlio¿e diameter is unity or 1 And, because the areas of circles are to each other as the squares of their diameters ("Eucui Book XII , Proposition 2) ; therefore, if the square of the diameter of any circle be multiple!... | |
 | William Templeton - 1839 - 182 pages
...large engine has less rubbing surface, or less friction, according to its power, than a small one. 3. The areas of circles are to each other as the squares of their diameters, or as .7854 to 1 : a circle twice the diameter contains four times the area. EXAMPLE 1. — Required... | |
 | J. S. Bayldon - 1840 - 366 pages
...multiplying the square of the diameter by .7854, the area of a circle whose diameter is 1, and because the areas of circles are to each other, as the squares of their diameters ; and that product multiplied by the height of the stack will give the solidity in yards, or in feet,... | |
 | J S. Bayldon - 1840 - 350 pages
...multiplying the square of the diameter by .7854, the area of a circle whose diameter is 1, and because the areas of circles are to each other, as the squares of their diameters ; and that product multiplied by the height of the stack will give the solidity in yards, or in feet,... | |
 | William Ruger - 1841 - 268 pages
...a Stake, to give him the l1berty of eating two acres of grass ? Ans. 55 i yards. NOTE. — The area of circles are to each other, as the squares of their diameters. . -, . To find the area of a globe or ball. RULE.— Multiply the whole circumference by the whole... | |
| |
The areas of circles are to each other as the squares of their diameters. 
