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acres added amount annual apples bank base bill bought bushels called cents ciphers cloth column common compound contained cost cube root cubic decimal decimal orders denominator diameter difference discount Divide dividend division divisor dollars equal expressed face factors feet figure Find five four fourth fraction gain given gives half Hence hundred inches integers interest length less marked measure miles mills months Multiply OPERATION OPERATION SOLUTION paid payable period person pounds premium prime principal quotient ratio received Reduce remainder result Rule sell shares side sold solid SOLUTION square square root subtract surface TABLE tens third thousand units weight whole wide worth write written yards
Side 266 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.
Side 268 - The square described on the hypotenuse of a rightangled triangle is equal to the sum of the squares described on the sides containing the right angle. Prop. 30. — If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by these two sides is a right angle.
Side 277 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Side 168 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Side 256 - Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two.
Side 131 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other.
Side 111 - Two numbers are PRIME TO EACH OTHER when they have no common factor.
Side 284 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 269 - A room is 20 ft. long, 16 ft. wide, and 12 ft high. What is the distance from one of the lower corners to the opposite upper corner?
Side 225 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.