A Practical Treatise on Algebra: Designed for the Use of Students in High Schools and AcademiesR.S. Davis and Company, 1852 - 336 sider |
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Resultat 1-5 av 54
Side vi
... TERMS INVOLVED IN AN EQUAL NUMBER OF EQUATIONS EQUATIONS OF THE SECOND DEGREE , CONTAINING · SEVERAL UN- PAGK 92 KNOWN QUANTITIES 35 95 SECTION XI . NEGATIVE QUANTITIES 100 Problem of " The Couriers " 103 Theory of Indetermination . 109 ...
... TERMS INVOLVED IN AN EQUAL NUMBER OF EQUATIONS EQUATIONS OF THE SECOND DEGREE , CONTAINING · SEVERAL UN- PAGK 92 KNOWN QUANTITIES 35 95 SECTION XI . NEGATIVE QUANTITIES 100 Problem of " The Couriers " 103 Theory of Indetermination . 109 ...
Side 12
... quantity . Thus , a + b , be + cd , 4a + 5cd - x , are compound quantities . 30. A term is any part or number of a compound quantity , separated from the other parts by the sign + or - . Thus , in the compound quantity a + b , a and b are ...
... quantity . Thus , a + b , be + cd , 4a + 5cd - x , are compound quantities . 30. A term is any part or number of a compound quantity , separated from the other parts by the sign + or - . Thus , in the compound quantity a + b , a and b are ...
Side 13
... number is one , which is produced by the multiplication of two or more quantities or factors into each other . Thus , the quantity abc is a ... quantity consists of any number of terms 1 * DEFINITIONS AND NOTATIONS . 13 MULTIPLICATION.
... number is one , which is produced by the multiplication of two or more quantities or factors into each other . Thus , the quantity abc is a ... quantity consists of any number of terms 1 * DEFINITIONS AND NOTATIONS . 13 MULTIPLICATION.
Side 14
... quantity consists of any number of terms greater than three , it is called a polynomial . Thus a + b + c + d , or w + x + y + z , are polynomials . 42. The power of a quantity is its square , cube , biquad- rate , & c .; called also its ...
... quantity consists of any number of terms greater than three , it is called a polynomial . Thus a + b + c + d , or w + x + y + z , are polynomials . 42. The power of a quantity is its square , cube , biquad- rate , & c .; called also its ...
Side 44
... quantity or a unity . 97. They consist of two parts , the numerator and denom- inator , the former being written above the line , and the latter below it ; and when taken together are the terms ... number is a whole number or quantity 44 ...
... quantity or a unity . 97. They consist of two parts , the numerator and denom- inator , the former being written above the line , and the latter below it ; and when taken together are the terms ... number is a whole number or quantity 44 ...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ... Benjamin Greenleaf Uten tilgangsbegrensning - 1854 |
A Practical Treatise on Algebra: Designed for the Use of Students in High ... Benjamin Greenleaf Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 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...
Side 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.