Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 15
... fourth power of a ; n times , that is , any number of times , the nth power of a . The second power is also called the square , and the third power the cube . The product indicated by a × a × a × a × a may be more briefly indicated by a ...
... fourth power of a ; n times , that is , any number of times , the nth power of a . The second power is also called the square , and the third power the cube . The product indicated by a × a × a × a × a may be more briefly indicated by a ...
Página 16
... fourth root ; one of the n equal factors , the nth root . The second root of a number is also called its square root , and its third root is called its cube root . 27. The symbol which denotes that a root of a number is sought is ...
... fourth root ; one of the n equal factors , the nth root . The second root of a number is also called its square root , and its third root is called its cube root . 27. The symbol which denotes that a root of a number is sought is ...
Página 18
... fourth degree , because it is composed of four literal factors , or has four dimensions . 2 is a term of the third degree , since x3 is a convenient way of indicating that x is taken three times as a factor . The expressions 4x2yz3 and ...
... fourth degree , because it is composed of four literal factors , or has four dimensions . 2 is a term of the third degree , since x3 is a convenient way of indicating that x is taken three times as a factor . The expressions 4x2yz3 and ...
Página 44
... fourth number . 49. A man distributed 1 dollar among 5 boys so that each boy except the youngest received 5 cents more than the boy next younger . If the boys were all of different ages , how much did each receive ? 50. The common ...
... fourth number . 49. A man distributed 1 dollar among 5 boys so that each boy except the youngest received 5 cents more than the boy next younger . If the boys were all of different ages , how much did each receive ? 50. The common ...
Página 67
... fourth example ? 5. How can the formation of the second , or middle term be described so as to apply to all of the examples ? 99. PRINCIPLE . The product of two binomials that have a com- mon term is the algebraic sum of the square of ...
... fourth example ? 5. How can the formation of the second , or middle term be described so as to apply to all of the examples ? 99. PRINCIPLE . The product of two binomials that have a com- mon term is the algebraic sum of the square of ...
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
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.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.