The Elements of Algebra: Designed for the Use of Common Schools, Also Serving as an Introduction to the "Treatise on Algebra"H.H. Hawley & Company, 1848 - 251 σελίδες |
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Σελίδα 14
... results are , in general , true , whatever values are given to the let ters . In this example , suppose a 5 , and we shall have this OPERATION . 3a = 3x5 = 15 Ta = 7X5 = 35 4a = 4X5 20 10a 10X5 50 24a 24X5 = 120 Again , suppose a = 2 ...
... results are , in general , true , whatever values are given to the let ters . In this example , suppose a 5 , and we shall have this OPERATION . 3a = 3x5 = 15 Ta = 7X5 = 35 4a = 4X5 20 10a 10X5 50 24a 24X5 = 120 Again , suppose a = 2 ...
Σελίδα 16
... result is , it shows that she is south of the equator , that is , she is in 24 degrees south lati- tude . ( 17. ) It must always be borne in mind that the office of the negative sign is to denote a state , condition , or effect ...
... result is , it shows that she is south of the equator , that is , she is in 24 degrees south lati- tude . ( 17. ) It must always be borne in mind that the office of the negative sign is to denote a state , condition , or effect ...
Σελίδα 19
... . Thus , 3a 6a -7a 4a 6a - the sum of the a's . In the same way we find the sum of the b's , as fol- lows : -5b 26 - b 8b 4b the sum of the b's . Connecting these two results with their proper signs , we ADDITION . 19.
... . Thus , 3a 6a -7a 4a 6a - the sum of the a's . In the same way we find the sum of the b's , as fol- lows : -5b 26 - b 8b 4b the sum of the b's . Connecting these two results with their proper signs , we ADDITION . 19.
Σελίδα 20
... results with their proper signs , we get 6a + 46 for the sum sought . From this we see that examples under this Case may be wrought by the following RULE . I. Find the respective sums of like terms as in Case I. II . Then write these ...
... results with their proper signs , we get 6a + 46 for the sum sought . From this we see that examples under this Case may be wrought by the following RULE . I. Find the respective sums of like terms as in Case I. II . Then write these ...
Σελίδα 23
... result . Now , it is obvious , that we have subtracted too much by the quantity c , therefore , adding c to the above result , we finally obtain a - b + c , which is the same as the addition of a and b + c . - From this , we conclude ...
... result . Now , it is obvious , that we have subtracted too much by the quantity c , therefore , adding c to the above result , we finally obtain a - b + c , which is the same as the addition of a and b + c . - From this , we conclude ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
added algebraic algebraic quantities antecedent arithmetical progression bx-ab change the signs Clear the equation cleared of fractions coefficient common denominator Consequently decimal denote digits Divide the number divisor equal equation of fractions EXAMPLES exponent expression Extracting the square favorable Find a number find the values find x formula four quantities fourth geometrical geometrical progression gives Hence inequality least common multiple left-hand term letters metical mixed quantity NEGATIVE PRODUCTS negative quantities nth root number of combinations number of permutations number of terms number sought numerator and denominator obtain OPERATION placed polynomial POSITIVE PRODUCTS pression proportion quadratic equation quotient rate per cent reciprocal Reduce remainder repetend Rule under Art second term simple chance simple equations solved square root subscript numbers substituted subtract things taken third tions Transposing and uniting twice uniting terms unknown quantity values of x VULGAR FRACTIONS
Δημοφιλή αποσπάσματα
Σελίδα 54 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Σελίδα 77 - Two persons, A and B, lay out equal sums of money in trade ; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Σελίδα 69 - What number is that whose third part exceeds its fourth part by 16 ? Let x= the number required, Then its — part will be —x, and its — part —a;.
Σελίδα 181 - One hundred stones being placed on the ground, in a straight line, at the distance of a yard from each other, how far will a person travel who shall bring them one by one to a basket, which is placed one yard from the first Stone ? Ans.
Σελίδα 99 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 38 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Σελίδα 44 - To reduce a mixed quantity to the form of a fraction. RULE. Multiply the entire part by the denominator of the fraction...
Σελίδα 134 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Σελίδα 10 - It denotes that the quantities between which it is placed, are to be multiplied together.
Σελίδα 47 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number. EXAMPLES FOR PRACTICE.