Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 3
... third , to prove their truth by the method of deductive reasoning . The acknowledgments of the author are due to Prof. J. H. Tanner , of the Department of Mathematics , Cornell University , for many valuable suggestions in connection ...
... third , to prove their truth by the method of deductive reasoning . The acknowledgments of the author are due to Prof. J. H. Tanner , of the Department of Mathematics , Cornell University , for many valuable suggestions in connection ...
Página 9
... third 4 times as large as the first . How many acres did each farm contain ? 23. Three boys divided 160 marbles ... third , and the second is 3 times the third . 26. Divide 21 into three parts , such that the ALGEBRAIC SOLUTIONS 9 ...
... third 4 times as large as the first . How many acres did each farm contain ? 23. Three boys divided 160 marbles ... third , and the second is 3 times the third . 26. Divide 21 into three parts , such that the ALGEBRAIC SOLUTIONS 9 ...
Página 10
... third . 27. Divide 36 into three parts , such that the first is twice the second , and the third is equal to twice the sum of the first and second . 28. Three newsboys sold 60 papers . If the first sold twice as many as the second , and ...
... third . 27. Divide 36 into three parts , such that the first is twice the second , and the third is equal to twice the sum of the first and second . 28. Three newsboys sold 60 papers . If the first sold twice as many as the second , and ...
Página 15
... third power of a ; four times , the 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 ...
... third power of a ; four times , the 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 ...
Página 16
... third root ; one of the four equal factors , the 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 ...
... third root ; one of the four equal factors , the 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 ...
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Términos y frases comunes
a²b a²b² a²x² a³b ab² algebraic numbers algebraic sum arithmetical means arithmetical progression ax² binomial cents coefficient Commutative Law complete divisor contain cube root denominator difference digits divided dividend dollars equivalent established as follows EXAMPLES exponent expression Extracting the square Find the value fraction geometrical mean geometrical progression given equation Hence highest common divisor imaginary numbers integer logarithm lowest common multiple mantissa monomial multiplied negative number number of permutations polynomial positive integer positive number pounds PRINCIPLE PROCESS proportion quadratic quotient radical ratio Reduce remainder result second term Simplify simultaneous equations SOLUTION Solve the equation Solve the following square root Substituting subtracted surd Transposing trial divisor twice units unknown number variable x²y x²y² xy²
Pasajes populares
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 210 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 228 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 403 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Página 225 - Then divide the first term of the remainder by the first term of the divisor...
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 413 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 224 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Página 76 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Página 412 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.