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" The areas of circles are to each other as the squares of their diameters. "
Arithmetic and Its Applications: Designed as a Text Book for Common Schools ... - Page 341
by Dana Pond Colburn - 1855 - 366 pages
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The Mechanic's Calculator: Comprehending Principles

William Grier - Mechanical engineering - 1836 - 384 pages
...wo find that, 2772 ... ~gg- = 77 inches, nearly equal to the area of the pump•s bore; now the area of circles are to each other as the squares of their diameters, and the area of a circle whose diameter is 9, is 63•6 ; therefore, 63-6 : 77 : : 9s : 98 the square...
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The Mechanic's Calculator; Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1836 - 380 pages
...hence we find that, 2772 „ =: 77 inches, ou nearly equal to the area of the pump's bore; now the area of circles are to each other as the squares of their diameters, and the area of a circle whose diameter is 9, is 63-6; therefore, 63-6 : 77 : : 92 : 98 the square...
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A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger - Arithmetic - 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,...
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Appendix to the Mensuration: For the Use of Teachers

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...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 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...
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The complete mathematical and general navigation tables, Volume 2

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!...
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The Engineer's Common-place Book of Practical Reference, Consisting of ...

William Templeton - Steam-engines - 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 the...
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Bayldon's Art of Valuing Rents and Tillages: And the Tenant's Right on ...

J. S. Bayldon - Landlord and tenant - 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,...
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The art of valuing rents and tillages

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,...
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Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - Arithmetic - 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...
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