An Elementary Treatise on Algebra: Designed as First Lessons in that ScienceJacob Ernst, 1850 - 240 σελίδες |
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Σελίδα 4
... principles , and their application is carried further in this book than in .any other known to the author . For ... principle of equality is used to deduce rules for subtraction , division , the reduction of fractions to a common ...
... principles , and their application is carried further in this book than in .any other known to the author . For ... principle of equality is used to deduce rules for subtraction , division , the reduction of fractions to a common ...
Σελίδα 5
... principles , they may be very different ; and to arrive at perfection in this particular , is , and should be , the highest ambition of an author . For peculiarities in this work , the teacher is respectfully referred to abbreviations ...
... principles , they may be very different ; and to arrive at perfection in this particular , is , and should be , the highest ambition of an author . For peculiarities in this work , the teacher is respectfully referred to abbreviations ...
Σελίδα 16
... principles on which the truth of all algebraical operations finally rests . Axiom 1. If the same quantity or equal quantities be added to equal quantities , their sums will be equal . 2. If the same quantity or equal quantities be ...
... principles on which the truth of all algebraical operations finally rests . Axiom 1. If the same quantity or equal quantities be added to equal quantities , their sums will be equal . 2. If the same quantity or equal quantities be ...
Σελίδα 30
... principles never change , we must do the same thing when the coefficients are literal ; thus , the sum of ax , bx , and cx must be ( a + b + c ) x , and ax - x may be written ( a - 1 ) x . EXAMPLES . Add ( 1 ) ax + by2 ( 2 ) ay + cx 2 ...
... principles never change , we must do the same thing when the coefficients are literal ; thus , the sum of ax , bx , and cx must be ( a + b + c ) x , and ax - x may be written ( a - 1 ) x . EXAMPLES . Add ( 1 ) ax + by2 ( 2 ) ay + cx 2 ...
Σελίδα 35
... principle of subtraction in Algebra , through the medi- um of equations . If we subtract 12 from 18 , the remainder will be 6. Here are three quantities . 1. The minuend 18 2. The subtrahend 12 3. The remainder 6 In all cases , the ...
... principle of subtraction in Algebra , through the medi- um of equations . If we subtract 12 from 18 , the remainder will be 6. Here are three quantities . 1. The minuend 18 2. The subtrahend 12 3. The remainder 6 In all cases , the ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Designed as First Lessons in That Science ... Horatio Nelson Robinson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
An Elementary Treatise on Algebra. Designed As First Lessons in That Science Horatio N. (Horatio Nelson) Robinson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2012 |
An Elementary Treatise on Algebra: Designed As First Lessons in That Science ... Horatio Nelson Robinson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
3d power 4th power added algebraic quantities arithmetical progression arithmetical series cents Clearing of fractions coefficient common denominator common difference completing the square compound quantity contain cube root Divide the number dividend Dividing both members division divisor double equa equal factors exponent find the values Find three numbers find x following rule four numbers fourth geometrical mean geometrical progression geometrical series give Given greater Hence horse improper fractions last term least common multiple less letter minus mixed quantity Multiply number of terms numbers in arithmetical numbers in geometrical numerator and denominator observe operation pounds prime factors prime number principle problem proportion pure equation quadratic quotient ratio Reduce remainder represent result RULE.-Multiply second power share simple solving square root subtracted suppose third root tion transposing unit unknown quantity whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 51 - 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 64 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 204 - Here we discover the important property, that, in an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 224 - 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.
Σελίδα 162 - The number of periods will indicate the number of figures in the root. Thus, the square root of 83,740,801 must contain...
Σελίδα 16 - If equal quantities be divided by the same, or by equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.
Σελίδα 207 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Σελίδα 200 - 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.
Σελίδα 180 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Σελίδα 199 - 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.