An Introduction to Algebra: With Notes and Observations : Designed for the Use of Schools and Places of Public Education : to which is Added an Appendix on the Application of Algebra to GeometryEvert Duyckinck, Daniel D. Smith and George Long, 1818 - 260 σελίδες |
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Σελίδα
... quotient of b dr signifies that a - b is to be divided equal to , the sign of equality ; signifying that the quantities between which it is placed are equal to each other . Thus , x = a + b shows that the quantity denoted by x isual to ...
... quotient of b dr signifies that a - b is to be divided equal to , the sign of equality ; signifying that the quantities between which it is placed are equal to each other . Thus , x = a + b shows that the quantity denoted by x isual to ...
Σελίδα 2
... quotient of b d vided by a ; and -b a + c signifies that a ww b is to be divided by atc . = equal to , the sign of equality ; signifying that the quantities between which it is placed are equal to each other . Thus , x = a + b shows ...
... quotient of b d vided by a ; and -b a + c signifies that a ww b is to be divided by atc . = equal to , the sign of equality ; signifying that the quantities between which it is placed are equal to each other . Thus , x = a + b shows ...
Σελίδα 18
... quotient , and unlike signs , as in findin their products ( e ) . It it are also to be observed , that powers and roots of the same quantity , are divided by subtracting the index of the divisor from that of the dividend . Q3 Thus , da2 ...
... quotient , and unlike signs , as in findin their products ( e ) . It it are also to be observed , that powers and roots of the same quantity , are divided by subtracting the index of the divisor from that of the dividend . Q3 Thus , da2 ...
Σελίδα 20
... quotient , with its proper sign , or simply by itself , if it be affirma- tive . This being done , multiply the whole divisor by the term thus found ; and , having subtracted the result from the dividend , bring down as many terms to ...
... quotient , with its proper sign , or simply by itself , if it be affirma- tive . This being done , multiply the whole divisor by the term thus found ; and , having subtracted the result from the dividend , bring down as many terms to ...
Σελίδα 22
... quotient , in the form of a fraction : thus ( f ) a + x ) α3 — x3 ( α2 —ax + x2 . 2x3 - a3 + a2x -α2x - x3 axa ax2 -- x3 ax2 + x3 3 -2x3 3 a + x ( f ) In the case here given , the operation of division may be considered as terminated ...
... quotient , in the form of a fraction : thus ( f ) a + x ) α3 — x3 ( α2 —ax + x2 . 2x3 - a3 + a2x -α2x - x3 axa ax2 -- x3 ax2 + x3 3 -2x3 3 a + x ( f ) In the case here given , the operation of division may be considered as terminated ...
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An Introduction to Algebra; With Notes and Observations: Designed for the ... John Bonnycastle Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra arithmetical arithmetical mean arithmetical series bers coefficient common denominator compound quantity consequently cube root cubic equation decimal denoted Diophantus dividend divisor equal EXAMPLES FOR PRACTICE find the difference find the least find the product find the square find the sum find the value find two numbers fraction required geometrical geometrical progression geometrical series give given number greatest common measure Hence improper frac improper fraction infinite series last term letters loga logarithms mixed quantity multiplied negative nth root number of terms number required PROBLEM proportion quadratic equation question quotient rational reduce the fraction remainder Required the difference Required the sum required to convert required to divide required to find required to reduce result rithm rule second term side simple form square number square root square sought substituted subtracted sum required surd tion triangle unknown quantity Whence α α
Δημοφιλή αποσπάσματα
Σελίδα 10 - 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.
Σελίδα 20 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 27 - 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.
Σελίδα 173 - Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Hence...
Σελίδα 77 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 93 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Σελίδα 93 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5.
Σελίδα 94 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the less, is equal to 12 ? Ans.
Σελίδα 30 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.