New Elementary Algebra Embracing the First Principles of the ScienceAmerican book Company, 1891 - 294 σελίδες |
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Σελίδα 4
... known before ; and the whole is so combined as to prepare the pupil , by a thorough system of mental training , for those processes of reasoning which are peculiar to the algebraic analysis . " The definitions are precise ; the ...
... known before ; and the whole is so combined as to prepare the pupil , by a thorough system of mental training , for those processes of reasoning which are peculiar to the algebraic analysis . " The definitions are precise ; the ...
Σελίδα 33
... known and unknown . Known quantities are those whose values are given . They are generally represented by the leading letters of the alpha- bet ; as , a , b , c , etc. Unknown quantities are those whose values are required . They are ...
... known and unknown . Known quantities are those whose values are given . They are generally represented by the leading letters of the alpha- bet ; as , a , b , c , etc. Unknown quantities are those whose values are required . They are ...
Σελίδα 106
... known terms to the second , in the following : 1. 3x + 6-5 = 2x - 7 . 2. ax + b = d— cx . 3. 4x - 3 = 2x + 5 . 4. 9x + c = cx - d . 5. ax + f = dx + b . 6. 6x c = ― ax + b . Ans . 3x - 2x - 7-6 + 5 . Ans . ax + cx = db . Ans . 4x - 2x = 5 + ...
... known terms to the second , in the following : 1. 3x + 6-5 = 2x - 7 . 2. ax + b = d— cx . 3. 4x - 3 = 2x + 5 . 4. 9x + c = cx - d . 5. ax + f = dx + b . 6. 6x c = ― ax + b . Ans . 3x - 2x - 7-6 + 5 . Ans . ax + cx = db . Ans . 4x - 2x = 5 + ...
Σελίδα 107
... known terms to the second member . Reduce all the terms in the first member to a single term , one factor of which shall be the unknown quantity , and the other factor will be the algebraic sum of its coefficients . Divide both members ...
... known terms to the second member . Reduce all the terms in the first member to a single term , one factor of which shall be the unknown quantity , and the other factor will be the algebraic sum of its coefficients . Divide both members ...
Σελίδα 110
... known and the required quantities . The solution consists in finding the values of the unknown quantities in terms of those which are known . The statement is made by representing the unknown quan- tities of the problem by some of the ...
... known and the required quantities . The solution consists in finding the values of the unknown quantities in terms of those which are known . The statement is made by representing the unknown quan- tities of the problem by some of the ...
Άλλες εκδόσεις - Προβολή όλων
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1865 |
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1860 |
New Elementary Algebra: Embracing the First Principles of the Science Charles Davies Πλήρης προβολή - 1873 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²b² a³b² ab² ab³ algebraic algebraic quantities arithmetical arithmetical means binomial cents Charles Clearing of fractions coefficient common difference Completing the square contains cost cube root denote the number divided dividend division equal number equal to 12 equation whose roots Exercises exponent expression Extracting the square factors Find the L. C. M. Find the square Find the sum following rule Formula given number gives greater greatest common divisor Hence we write indicated inequality last term least common multiple lemons Let x denote logarithm minuend minus monomial multiplied negative nth root number added number of apples number of terms operation perfect square polynomial progression proportion quotient ratio reduced remainder result second degree second member second term square root Substituting this value subtract Transposing trinomial twice units unknown quantity VERIFICATION xy² yards
Δημοφιλή αποσπάσματα
Σελίδα 269 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 289 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 66 - 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 66 - ... 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...
Σελίδα 256 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Σελίδα 269 - To indicate that the ratio of A to B is equal to the ratio of C to D...
Σελίδα 19 - Two men start 50 miles apart, and travel towards each other, the one at the rate of 4 miles an hour, and the other at the rate of 3 miles ; how far apart will they be at the end of 5 hours ? 20.
Σελίδα 255 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36.
Σελίδα 165 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.
Σελίδα 137 - Two travellers set out at the same time from London and York, whose distance apart is 150 miles; one of them goes 8 miles a day, and the other 7 ; in what time will they meet ? Ans, In 10 days. 10. At a certain election, 375 persons voted for two candidates, and the candidate chosen had a majority of 91; how many voted for each 1 Ans.