Manual of AlgebraBarnes, 1875 - 331 páginas |
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... Methods - NORTHEND's Teacher's Assistant , & c . A DESCRIPTIVE CATALOGUE of all these and many more may be obtained by enclosing a stamp to the Publishers , A. S. BARN National Ed 111 & 113 WILLIA ORK . " A COMPLETE COURSE IN GERMAN ...
... Methods - NORTHEND's Teacher's Assistant , & c . A DESCRIPTIVE CATALOGUE of all these and many more may be obtained by enclosing a stamp to the Publishers , A. S. BARN National Ed 111 & 113 WILLIA ORK . " A COMPLETE COURSE IN GERMAN ...
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... method ( on the conversation plan ) , introducing a system of analogy and comparison with the learners ' own language and others commonly studied . The arts of speaking , of understanding the spoken language , and of correct pronun ...
... method ( on the conversation plan ) , introducing a system of analogy and comparison with the learners ' own language and others commonly studied . The arts of speaking , of understanding the spoken language , and of correct pronun ...
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... methods of Bourdon within the reach of those who had not the time , perhaps not the inclination , to study the more extended and complete work of that eminent algebraist . In the present edition no attempt has been made to modify that ...
... methods of Bourdon within the reach of those who had not the time , perhaps not the inclination , to study the more extended and complete work of that eminent algebraist . In the present edition no attempt has been made to modify that ...
Página 45
... The product of the sum and difference of any two quantities , is equal to the square of the first , minus the square of the second . The method of applying these principles is shown in the USEFUL FORMULAS . 45 -USEFUL FORMULAS.
... The product of the sum and difference of any two quantities , is equal to the square of the first , minus the square of the second . The method of applying these principles is shown in the USEFUL FORMULAS . 45 -USEFUL FORMULAS.
Página 46
William Guy Peck. The method of applying these principles is shown in the following EXAMPLES . 1. Let it be required to find the square of 2a + 3x . The square of 2a , is 4a2 ; twice the product of 2a and 3x , is 12ax ; the square of 3x ...
William Guy Peck. The method of applying these principles is shown in the following EXAMPLES . 1. Let it be required to find the square of 2a + 3x . The square of 2a , is 4a2 ; twice the product of 2a and 3x , is 12ax ; the square of 3x ...
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Términos y frases comunes
algebraic Arithmetic ax² binomial formula called clearing of fractions coefficients common difference contain contrary signs cube root Davies denominator denote the number distance dividend divisible equa equal roots equation whose roots EXAMPLES exponent expression extracting the square factors Find the cube Find the greatest Find the least Find the square Find the sum following principle following rule geometrical geometrical progression given equation greatest common divisor hence imaginary indicated irreducible fraction least common multiple logarithm Mathematics miles minuend monomial multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quan quotient radical sign ratio real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root Sturm's Theorem substituting subtract third tion tity transposing travels unknown quantity V₁ whole number
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Página 145 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 239 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Página 267 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 245 - In arithmetical progression there are five parts to be considered, viz : the first term, the last term, the number of terms, the common difference, and the sum of all the terms.
Página 42 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Página 239 - In any proportion, the product of the means is equal to the product of the extremes.
Página 245 - That is, any term is equal to the first term, plus the product of the common difference by the number of preceding terms.
Página 41 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 264 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.