An Elementary Treatise on Algebra: For the Use of Students in High Schools and CollegesSanborn, Carter, Bazin, 1841 - 300 páginas |
Dentro del libro
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Página iv
... remarks , without expressing his obligations to others , who have done so much to introduce into our country a ... remark , that the few errors of the first edition have been carefully corrected ; that a Key to the Algebra has been ...
... remarks , without expressing his obligations to others , who have done so much to introduce into our country a ... remark , that the few errors of the first edition have been carefully corrected ; that a Key to the Algebra has been ...
Página v
... remarks , .. .... Algebraic signs , ... Axioms , Equations of the first degree , having only unknown terms in one member , and known terms in the other , .... Definition of equation , member , term , coefficient , .. II . Equations of ...
... remarks , .. .... Algebraic signs , ... Axioms , Equations of the first degree , having only unknown terms in one member , and known terms in the other , .... Definition of equation , member , term , coefficient , .. II . Equations of ...
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 1
... REMARKS . Art . 1. ARITHMETIC treats of numbers which have known and definite values ; but Algebra makes use of symbols , which may represent known , unknown , or indeterminate quantities . These symbols are the letters of the alphabet ...
... REMARKS . Art . 1. ARITHMETIC treats of numbers which have known and definite values ; but Algebra makes use of symbols , which may represent known , unknown , or indeterminate quantities . These symbols are the letters of the alphabet ...
Página 2
... soon as they are presented to the mind . These pro- positions are called axioms ; the following are of this kind . AXIOMS . 1. If the same quantity or equal quantities 2 PRELIMINARY REMARKS . Algebraic signs, Axioms,
... soon as they are presented to the mind . These pro- positions are called axioms ; the following are of this kind . AXIOMS . 1. If the same quantity or equal quantities 2 PRELIMINARY REMARKS . Algebraic signs, Axioms,
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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.