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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 48.
Σελίδα
... determination to conquer . But , of all the sciences which serve to call forth this spirit of enterprise and inquiry , there are none more eminently useful than Mathematics . By an early at- tachment to these elegant and sublime studies ...
... determination to conquer . But , of all the sciences which serve to call forth this spirit of enterprise and inquiry , there are none more eminently useful than Mathematics . By an early at- tachment to these elegant and sublime studies ...
Σελίδα 25
... determined in a similar manner to that given above , by first finding the common measure of two of them , and then of that common measure and a third ; and so on to the last D CASE III . To reduce a mixed quantity to an ALGEBRAIC ...
... determined in a similar manner to that given above , by first finding the common measure of two of them , and then of that common measure and a third ; and so on to the last D CASE III . To reduce a mixed quantity to an ALGEBRAIC ...
Σελίδα 45
... determined , as there is no quantity , either positive or negative , ( + or - ) , that , when multiplied by itself , will produce a2 . - EXAMPLES . 1. Find the square root of 9x2 ; and the cube root of Sx3 . Here✓9x29 × √x2 = 3 × x ...
... determined , as there is no quantity , either positive or negative , ( + or - ) , that , when multiplied by itself , will produce a2 . - EXAMPLES . 1. Find the square root of 9x2 ; and the cube root of Sx3 . Here✓9x29 × √x2 = 3 × x ...
Σελίδα 46
... determined , and set the result both in the quotient and divisor . 4. Multiply the divisor , so increased , by the term of the root last placed in the quotient , and subtract the pro- duct from the dividend ; and so on , as in common ...
... determined , and set the result both in the quotient and divisor . 4. Multiply the divisor , so increased , by the term of the root last placed in the quotient , and subtract the pro- duct from the dividend ; and so on , as in common ...
Σελίδα 81
... determining the values of unknown quantities by means of their relations to others which are known . This is done by making certain algebraic expressions equal to each other ( which formula , in that case , is called an equation ) , and ...
... determining the values of unknown quantities by means of their relations to others which are known . This is done by making certain algebraic expressions equal to each other ( which formula , in that case , is called an equation ) , and ...
Άλλες εκδόσεις - Προβολή όλων
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.