A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis and Company, 1852 - 336 σελίδες |
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Σελίδα v
... DIVISION SECTION V. Division by detached Coefficients FRACTIONS Addition of Fractions · 27 235 37 42 SECTION VI . 458586 44 57 59 61 63 Subtraction of Fractions Multiplication of Fractions Division of Fractions Negative Exponents ...
... DIVISION SECTION V. Division by detached Coefficients FRACTIONS Addition of Fractions · 27 235 37 42 SECTION VI . 458586 44 57 59 61 63 Subtraction of Fractions Multiplication of Fractions Division of Fractions Negative Exponents ...
Σελίδα vii
... Division by Logarithms 267 Involution by Logarithms 271 Evolution by Logarithms 272 SECTION XXVI . COMPOUND INTEREST . 274 SECTION XXVII . DEPOSITS 280 • SECTION XXVIII . EXPONENTIAL OR TRANSCENDENTAL EQUATIONS 283 SECTION XXIX ...
... Division by Logarithms 267 Involution by Logarithms 271 Evolution by Logarithms 272 SECTION XXVI . COMPOUND INTEREST . 274 SECTION XXVII . DEPOSITS 280 • SECTION XXVIII . EXPONENTIAL OR TRANSCENDENTAL EQUATIONS 283 SECTION XXIX ...
Σελίδα 11
... division . Thus , a ÷ b signifies that a is to be divided by b . 19. Division is also represented by placing the divisor under the dividend , in the form of a fraction . a- -b fies that a is to be divided by b ; and -- a + b a Thus ...
... division . Thus , a ÷ b signifies that a is to be divided by b . 19. Division is also represented by placing the divisor under the dividend , in the form of a fraction . a- -b fies that a is to be divided by b ; and -- a + b a Thus ...
Σελίδα 36
... - p . Ans . m2 - n2 + 2np — p2 . 10. Multiply 3a1 + 3a3b + 3a2b2 + 3ab3 + 3b4 by 7a + 7b . 11. Multiply + x2y + xy2 + y3 by x — y . Ans . 21a5-2165 . Ans . x4 - y1 . SECTION V. DIVISION . ART . 88. Division is the 36 ALGEBRA .
... - p . Ans . m2 - n2 + 2np — p2 . 10. Multiply 3a1 + 3a3b + 3a2b2 + 3ab3 + 3b4 by 7a + 7b . 11. Multiply + x2y + xy2 + y3 by x — y . Ans . 21a5-2165 . Ans . x4 - y1 . SECTION V. DIVISION . ART . 88. Division is the 36 ALGEBRA .
Σελίδα 37
... DIVISION . ART . 88. Division is the converse of Multiplication , and is performed , like that , of numbers . Its object is to find how many times one quantity is contained in another ; or to find what quantity , multiplied by a given ...
... DIVISION . ART . 88. Division is the converse of Multiplication , and is performed , like that , of numbers . Its object is to find how many times one quantity is contained in another ; or to find what quantity , multiplied by a given ...
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PRAC TREATISE ON ALGEBRA DESIG Benjamin 1786-1864 Greenleaf Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
added Algebra amount arithmetical arithmetical progression binomial breadth bushels coefficients common denominator common difference common index Completing the square compound interest contains courier cube root decimal distance divide both terms dividend divisor earth Evolving EXAMPLES exponent expressed Extract the square factor Find the sum find the value following RULE formula fraction gain geometrical geometrical mean geometrical progression geometrical series given number greater Hence infinity last term less lowest terms minus quantity number be divided number of terms number or quantity obtained oxen prefixed proportionals quadratic quadratic equation quan quantity or number quotient rate per cent ratio rational quantity remainder Required the numbers Required the sum required to find second term shillings simple form simple radical form square of half square rods square root subtracted surd THEOREM third power tity Transposing transposition twice unknown quantity value of x VERIFICATION
Δημοφιλή αποσπάσματα
Σελίδα 54 - RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 39 - 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.
Σελίδα 235 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 61 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Σελίδα 263 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Σελίδα 267 - BY LOGARITHMS. RULE. FROM the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.
Σελίδα 193 - Multiply the difference of the two numbers, found by trial, by the least error, and divide the product by the difference of the errors, when they are alike, but by their sum, when they are unlike. Or say...
Σελίδα 100 - J- of the sum of the shares of the other three, the share of the second £ of the sum of the other three, and the share of the third £ of the sum of the other three ; and it was found that the share of the oldest exceeded that of the youngest by $14.
Σελίδα 284 - Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given...
Σελίδα 119 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.