The elements of algebraDeighton, 1841 - 305 páginas |
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Página
... give a brief explanation of the changes made by the present Editor . These changes consist of both omissions and insertions . The principal omissions are the Sections on Summation of Series , and the Application of Algebra to Geometry ...
... give a brief explanation of the changes made by the present Editor . These changes consist of both omissions and insertions . The principal omissions are the Sections on Summation of Series , and the Application of Algebra to Geometry ...
Página 28
... gives the proposed quantity . The cube root is that quantity whose cube gives the proposed quantity , & c . The nth root is that quantity whose nth power gives the proposed quantity . The signs or √ , or V , V , V , & c . are used to ...
... gives the proposed quantity . The cube root is that quantity whose cube gives the proposed quantity , & c . The nth root is that quantity whose nth power gives the proposed quantity . The signs or √ , or V , V , V , & c . are used to ...
Página 34
... give ab , a quantity which when added to ab makes the sum nothing . - * [ It is a common mistake of beginners to say that an algebraical expression which appears under the form a x 0 is equal to a , by supposing it to signify a not ...
... give ab , a quantity which when added to ab makes the sum nothing . - * [ It is a common mistake of beginners to say that an algebraical expression which appears under the form a x 0 is equal to a , by supposing it to signify a not ...
Página 37
... . Thus to divide ab by a is to determine how often a must be taken to make up ab , that is , what quantity multiplied by a will give ab ; which we know is b . From this consideration are derived all the rules for the DIVISION . 37 Division.
... . Thus to divide ab by a is to determine how often a must be taken to make up ab , that is , what quantity multiplied by a will give ab ; which we know is b . From this consideration are derived all the rules for the DIVISION . 37 Division.
Página 38
... gives - ab ; and a similar proof may be given in the other cases . 95. In the division of simple quantities , if the coefficient and literal product of the divisor be found in the dividend , the other part of the dividend , with the ...
... gives - ab ; and a similar proof may be given in the other cases . 95. In the division of simple quantities , if the coefficient and literal product of the divisor be found in the dividend , the other part of the dividend , with the ...
Términos y frases comunes
a²x² algebraical quantities annuity Arithmetical Progression ax² binomial Binomial Theorem coefficient common denominator contains continued fraction cube root difference digits divided divisible divisor equal expressed Extract the square factors find the number Find the value fraction given greater Greatest Common Measure Hence impossible roots last term Least Common Multiple less lowest terms multiplied negative number of terms numerator and denominator odd number original equation permutations Present Value probability proposed equation proposed quantity prove quadratic quadratic equation quadratic surds quan quotient ratio Reduce to lowest remainder represented Required the value rule shew shillings signs square root substituted subtracted suppose supposition surd unknown quantity vulgar fraction whole number
Pasajes populares
Página 91 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Página 87 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Página 110 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Página 79 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 49 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Página 125 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.
Página 113 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 106 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Página 24 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Página 15 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...