An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesHowe & Deforest, 1814 - 303 páginas |
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Página 7
... notation , in de- monstrating , and reducing to system , the laws of proportion . The subject , instead of being broken up into a multitude of distinct propositions , may be comprehended in a few gene- sal principles . CONTENTS ...
... notation , in de- monstrating , and reducing to system , the laws of proportion . The subject , instead of being broken up into a multitude of distinct propositions , may be comprehended in a few gene- sal principles . CONTENTS ...
Página 7
... Notation , Positive and Negative quan- ties , Axioms , & c . 10 JI . Addition , 28 III . Subtraction , 35 IV ... Notation , addition , sub- traction , multiplication , and division , of Powers , IX . Evolution . Notation , reduction ...
... Notation , Positive and Negative quan- ties , Axioms , & c . 10 JI . Addition , 28 III . Subtraction , 35 IV ... Notation , addition , sub- traction , multiplication , and division , of Powers , IX . Evolution . Notation , reduction ...
Página 9
... their at- tention is called . NOTE . The principal definitions , theorems , rules , & c . which it is necessary to commit to memory , are distinguished by being put in Italics . C 1 ALGEBRA . SECTION I. Notation , Negative Quantities ,
... their at- tention is called . NOTE . The principal definitions , theorems , rules , & c . which it is necessary to commit to memory , are distinguished by being put in Italics . C 1 ALGEBRA . SECTION I. Notation , Negative Quantities ,
Página 10
... Notation , Negative Quantities , Axioms , & c . ART . 23. ALGEBRA may be defined , a general method of investigating the relations of quantities , principally by letters . This , it must be ac- knowledged , is an imperfect account of ...
... Notation , Negative Quantities , Axioms , & c . ART . 23. ALGEBRA may be defined , a general method of investigating the relations of quantities , principally by letters . This , it must be ac- knowledged , is an imperfect account of ...
Página 11
... notation by letters instead of figures , is , that the several quan- tities which are brought into a calculation , may be preserved distinct from each other , though carried through a number of complicated processes ; where- as , in ...
... notation by letters instead of figures , is , that the several quan- tities which are brought into a calculation , may be preserved distinct from each other , though carried through a number of complicated processes ; where- as , in ...
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Términos y frases comunes
12 rods abscissa added algebraic antecedent applied arithmetic become binomial calculation called Clearing of fractions co-efficients Completing the square compound quantity consequent cube root cubic equation curve demonstration denominator diminished dividend division divisor dollars equa equal quantities errour Euclid exponents expressed Extracting and transp factors fourth geometrical geometrical progression given quantity greater Hence inches infinite series inverted involution last term less letters manner mathematics Mult multiplicand negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive prefixed principle Prob Prod proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule SECTION sides square root substituted subtracted subtrahend supposed supposition theorem third tion tity Transposing transposition triangle twice uniting terms unknown quantity varies vulgar fraction whole
Pasajes populares
Página 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Página 188 - 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.
Página 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Página 227 - 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.
Página 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Página 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Página 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Página 187 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Página 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Página 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...