A Treatise on Algebra: Containing the Latest Improvements. Adapted to the Use of Schools and CollegesHarper & Brothers, 1846 - 503 sider |
Inni boken
Resultat 1-5 av 64
Side xiv
... represent these quantities by letters . Ordinarily , the given quantities are represented by the first letters of the alphabet , a , b , c ... ; and the required or unknown by the last , x , y , z ... --- The relations are expressed by ...
... represent these quantities by letters . Ordinarily , the given quantities are represented by the first letters of the alphabet , a , b , c ... ; and the required or unknown by the last , x , y , z ... --- The relations are expressed by ...
Side 1
... represent them by the same letter , distinguishing them from one another by accents , or small numbers written below ; thus , a , a ' , a " , a ' " , a " , are representatives of differ- ent quantities , and are read a , a prime , a ...
... represent them by the same letter , distinguishing them from one another by accents , or small numbers written below ; thus , a , a ' , a " , a ' " , a " , are representatives of differ- ent quantities , and are read a , a prime , a ...
Side 2
... represent the continued product of the numbers 1 , 2 , 3 , 4 ; and 27 the product of and 6 3 ' 9 ' 11 ' 2 7 6 • 3 9 • 11 may represent V. The sign ÷ , which is named by , and when placed between two num- bers is employed to denote that ...
... represent the continued product of the numbers 1 , 2 , 3 , 4 ; and 27 the product of and 6 3 ' 9 ' 11 ' 2 7 6 • 3 9 • 11 may represent V. The sign ÷ , which is named by , and when placed between two num- bers is employed to denote that ...
Side 5
... — y3 , we may represent the first by A and the second by B , and afterward , in referring to them , may call them the poly- nomials A and B. Terms composed of the same letters , affected with the DEFINITIONS AND NOTATION . 5.
... — y3 , we may represent the first by A and the second by B , and afterward , in referring to them , may call them the poly- nomials A and B. Terms composed of the same letters , affected with the DEFINITIONS AND NOTATION . 5.
Side 12
... represent the sum of the additive terms , and d to represent the sum of the subtractive terms of the lower line , or quantity to be subtracted . Another mode of proving the rule for the signs in subtraction is the following : By ...
... represent the sum of the additive terms , and d to represent the sum of the subtractive terms of the lower line , or quantity to be subtracted . Another mode of proving the rule for the signs in subtraction is the following : By ...
Innhold
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Uten tilgangsbegrensning - 1846 |
A Treatise on Algebra, Containing the Latest Improvements Charles William Hackley Uten tilgangsbegrensning - 1850 |
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... Charles William Hackley Uten tilgangsbegrensning - 1847 |
Vanlige uttrykk og setninger
a₁ algebraic becomes binomial binomial theorem coefficients column common divisor consequently contain continued fraction contrary signs cube cubic equation denominator derived functions determine difference divide divisible elimination equa equal roots equation whose roots EXAMPLE exponent expression extract final equation formula fraction give given equation given number greatest common divisor Hence imaginary roots indeterminate last term least common multiple letters logarithm method modulus monomial multiplied negative roots nth root number of terms number of variations obtain odd number permutations polynomial positive roots prime number problem proposed equation quadratic equation quotient radical ratio real roots reduced remainder represent result second degree second term solution square number square root substituting subtract successive suppose symmetric functions theorem third tion transformed equation Transposing unity unknown quantity V₁ vanish whence whole number
Populære avsnitt
Side 129 - ... two triangles are to each other as the products of their bases by their altitudes.
Side 172 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Side 107 - There will be as many figures in the root as there are periods in the given number.
Side 237 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.
Side 23 - 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 261 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 184 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Side 128 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c.
Side 48 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Side 237 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately ? Ans.