An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 67.
Σελίδα 16
... whence by making this proposition general , as in the last , the sum of the isolated quantities 6a and -4a will be + 2a , and that of 4a and 6a will be -2a . 58. If two or more quantities be unlike , their sum can only be expressed by ...
... whence by making this proposition general , as in the last , the sum of the isolated quantities 6a and -4a will be + 2a , and that of 4a and 6a will be -2a . 58. If two or more quantities be unlike , their sum can only be expressed by ...
Σελίδα 72
... whence we infer that , if a number be divided into any two parts , the square of the number is equal to the square of the two parts , together with twice the product of those parts . Which may be demonstrated thus ; let the num- ber n ...
... whence we infer that , if a number be divided into any two parts , the square of the number is equal to the square of the two parts , together with twice the product of those parts . Which may be demonstrated thus ; let the num- ber n ...
Σελίδα 78
... whence we derive , dividing each side byb , α mx v 16 m m ( 7 ) .. 120. If a fraction is to be divided by m , it is the same whether the numerator be divided by m , or the de- nominator multiplied by it . For , from the equality ( 1 ) ...
... whence we derive , dividing each side byb , α mx v 16 m m ( 7 ) .. 120. If a fraction is to be divided by m , it is the same whether the numerator be divided by m , or the de- nominator multiplied by it . For , from the equality ( 1 ) ...
Σελίδα 80
... whence we might readily derive the rule for the addition and subtraction of fractions not re- duced to the same denominator . 124. It would be without doubt more simple to have recourse to property ( 4 ) in order to reduce to the same ...
... whence we might readily derive the rule for the addition and subtraction of fractions not re- duced to the same denominator . 124. It would be without doubt more simple to have recourse to property ( 4 ) in order to reduce to the same ...
Σελίδα 85
... whence C = qD ' m and n are necessarily prime to one another , other- wise D would not be the greatest common divisor of A and B ; r and q are also prime to one another , in order that D ' may be the greatest common divi- sor of D and C ...
... whence C = qD ' m and n are necessarily prime to one another , other- wise D would not be the greatest common divisor of A and B ; r and q are also prime to one another , in order that D ' may be the greatest common divi- sor of D and C ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number