An Elementary Treatise on Algebra: For the Use of Students in High Schools and CollegesSanborn, Carter, Bazin, 1841 - 300 páginas |
Dentro del libro
Resultados 1-5 de 16
Página vii
... ... 265 LVIII . Application of logarithms to arithmetical operations , .... 272 LIX . Compound interest , 282 LX . Annuities ,. 288 Miscellaneous questions ... 292 ELEMENTS OF ALGEBRA . PRELIMINARY REMARKS . Art . 1. CONTENTS vii.
... ... 265 LVIII . Application of logarithms to arithmetical operations , .... 272 LIX . Compound interest , 282 LX . Annuities ,. 288 Miscellaneous questions ... 292 ELEMENTS OF ALGEBRA . PRELIMINARY REMARKS . Art . 1. CONTENTS vii.
Página 35
... arithmetical numbers . Let it be proposed to add 3 to 12 ; 10 3 is 7 ; we wish then to add 7 to 12. But , if we first add 10 , which is expressed thus , 12 + 10 , the sum is too great by 3 ; therefore , after having added 10 , we must ...
... arithmetical numbers . Let it be proposed to add 3 to 12 ; 10 3 is 7 ; we wish then to add 7 to 12. But , if we first add 10 , which is expressed thus , 12 + 10 , the sum is too great by 3 ; therefore , after having added 10 , we must ...
Página 122
... arithmetically added to 70 to make it equal to 49 . - The result , x = — -3 , shows that ally added to the length , that is , 3 from it . — x 3 rods must be algebraic- rods must be subtracted Let us then put instead of + x in the ...
... arithmetically added to 70 to make it equal to 49 . - The result , x = — -3 , shows that ally added to the length , that is , 3 from it . — x 3 rods must be algebraic- rods must be subtracted Let us then put instead of + x in the ...
Página 217
... arithmetical ratio , or ratio by subtraction . Thus , the arithmetical ratio of 9 to 7 is 9-7 or 2 , and that of a to b is a- - b . Four quantities , such that the difference between the first and second , is the same as that between ...
... arithmetical ratio , or ratio by subtraction . Thus , the arithmetical ratio of 9 to 7 is 9-7 or 2 , and that of a to b is a- - b . Four quantities , such that the difference between the first and second , is the same as that between ...
Página 218
... arithmetical mean between a and c . Thus , 3 , 5 , and 7 , or 12 , 8 , and 4 form a continued equidifference . Take , for example , a - b - b - c . From this we deduce b = = a + c ; also , a = 2 b — c , and c = 2b — a . Hence , 2 In any ...
... arithmetical mean between a and c . Thus , 3 , 5 , and 7 , or 12 , 8 , and 4 form a continued equidifference . Take , for example , a - b - b - c . From this we deduce b = = a + c ; also , a = 2 b — c , and c = 2b — a . Hence , 2 In any ...
Contenido
183 | |
185 | |
186 | |
191 | |
194 | |
201 | |
209 | |
213 | |
59 | |
83 | |
96 | |
105 | |
119 | |
126 | |
133 | |
141 | |
155 | |
163 | |
166 | |
168 | |
169 | |
172 | |
180 | |
217 | |
219 | |
229 | |
234 | |
236 | |
242 | |
244 | |
250 | |
258 | |
265 | |
272 | |
282 | |
288 | |
292 | |
Otras ediciones - Ver todas
Términos y frases comunes
3d power 3d root a² b² a² b³ a³ b³ added algebra ALGEBRAIC QUANTITIES antecedents arithmetical binomial bushels cent changing the signs coëfficient contain decimal degree Divide dividend division equal equation equidifference example expressed factors fifth power figures Find the 3d Find the 4th Find the third formula gives greater greatest common divisor Hence inequality integral quantity irrational quantities last term least common multiple less Let the learner logarithm manner mean proportionals monomial mth power negative quantity number of terms numerator and denominator obtain polynomial preceding progression by difference progression by quotient quan question radical sign ratio remainder Required the numbers result rods second power second root SECTION Simplify square Substitute subtract Suppose third power third root tity twice unknown quantity vulgar fraction whole number
Pasajes populares
Página 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Página 52 - 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.
Página 139 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 25 - A shepherd in time of war was plundered by a party of soldiers, who took \ of his flock and \ of a sheep ; another party took from him \ of what he had left and \ of a sheep ; then a third party took \ of what now remained and J of a sheep.
Página 228 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 124 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Página 262 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 225 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 3 - If equal quantities be divided by the same or 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.