Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 3
... complete statement of the principles , and then by full and rigorous proofs of the principles . Thus the natural method of mathematical teaching has been followed , the student being led , first , to make proper inferences ; second , to ...
... complete statement of the principles , and then by full and rigorous proofs of the principles . Thus the natural method of mathematical teaching has been followed , the student being led , first , to make proper inferences ; second , to ...
Página 201
... complete the ditch by working 2 days . In what time can each alone dig the ditch ? 27. A certain number of persons agree to share equally the expense of hiring a coach . If each paid 75 cents , there would be $ 1.25 over ; but if each ...
... complete the ditch by working 2 days . In what time can each alone dig the ditch ? 27. A certain number of persons agree to share equally the expense of hiring a coach . If each paid 75 cents , there would be $ 1.25 over ; but if each ...
Página 225
... complete divisor which multi- plied by b produces the remainder 2 ab + b2 is 2 a + b ; that is , the complete divisor is found by adding the second term of the root to twice the root already found . Multiplying the complete divisor by ...
... complete divisor which multi- plied by b produces the remainder 2 ab + b2 is 2 a + b ; that is , the complete divisor is found by adding the second term of the root to twice the root already found . Multiplying the complete divisor by ...
Página 227
... complete divisor . Multiply the complete divisor by this term of the root , and sub- tract the product from the first remainder . Find the next term of the root by dividing the first term of the re- mainder by the first term of the ...
... complete divisor . Multiply the complete divisor by this term of the root , and sub- tract the product from the first remainder . Find the next term of the root by dividing the first term of the re- mainder by the first term of the ...
Página 229
... complete divisor is found by adding the units to twice the tens , the complete divisor is 100+ 3 , or 103 . This multiplied by 3 gives as a product 309 , which subtracted from 309 leaves no remainder . Therefore , the square root of ...
... complete divisor is found by adding the units to twice the tens , the complete divisor is 100+ 3 , or 103 . This multiplied by 3 gives as a product 309 , which subtracted from 309 leaves no remainder . Therefore , the square root of ...
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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.