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added algebraic arithmetical balls becomes binomial called cents changed coefficients column complete constant containing continued convergent corresponding cost cube root denominator derived determinant difference digits divided dividend divisible dollars drawing elements equal equation equivalent event EXAMPLES exponent expression factor figures Find formula fourth fraction function geometrical given gives greater Hence highest imaginary increased indicated involving less letters limit logarithm lowest means miles multiplied negative obtained polynomial positive positive integer pounds preceding PRINCIPLE probability problem progression proportion proved quadratic quotient radical ratio received reduced remainder represent result RULE scale Simplify SOLUTION Solve square root Substituting subtracted successive taken third trial true twice units unknown number variable written zero
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.