Treatise on the elements of algebraAdam and Charles Black, 1837 - 80 σελίδες |
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Σελίδα
... Rules in the most simple and accurate manner , so that their meaning should be at once apparent , and that the student ... Rule , this Treatise combines more theory and practice than any hitherto published : and it has therefore been ...
... Rules in the most simple and accurate manner , so that their meaning should be at once apparent , and that the student ... Rule , this Treatise combines more theory and practice than any hitherto published : and it has therefore been ...
Σελίδα 21
... RULE . ART . 32. Connect the several quantities to be added by their respective signs , incorporat- ing like quantities ( Art . 23 ) . First , Let the quantity to be added be simple . If it be required to add a to x ; this , from the ...
... RULE . ART . 32. Connect the several quantities to be added by their respective signs , incorporat- ing like quantities ( Art . 23 ) . First , Let the quantity to be added be simple . If it be required to add a to x ; this , from the ...
Σελίδα 24
... . 2x ( a + b ) and 3x ( a + b2 ) . -19 - x and x . x + a and - a . ( a + x ) y and ( a — x ) y . a - 1 and 1 . 5x + 3b . -a and a - 26 . 46-1 + 2 b 3x . and -36 + 5— SECTION II . SUBTRACTION . RULE . ART . 33. 24 ADDITION .
... . 2x ( a + b ) and 3x ( a + b2 ) . -19 - x and x . x + a and - a . ( a + x ) y and ( a — x ) y . a - 1 and 1 . 5x + 3b . -a and a - 26 . 46-1 + 2 b 3x . and -36 + 5— SECTION II . SUBTRACTION . RULE . ART . 33. 24 ADDITION .
Σελίδα 25
James Bryce. SECTION II . SUBTRACTION . RULE . ART . 33. Change the signs of the subtrahend , and incorporate like quantities ( Art . 23 ) . First , Let the quantity to be subtracted be a simple quantity . From x subtract a . This can ...
James Bryce. SECTION II . SUBTRACTION . RULE . ART . 33. Change the signs of the subtrahend , and incorporate like quantities ( Art . 23 ) . First , Let the quantity to be subtracted be a simple quantity . From x subtract a . This can ...
Σελίδα 33
... RULE . 36. To the product of the numerical coeffi- cients , annex the product of the letters . EXAMPLES . 1. Multiply 5bc by 3a . Here ( Art . 8 ) the product is 5 bc × 3a , ( Art . 11 ) 5x3x bc xa ; that is , 15 bca , ( same Art . ) 15 ...
... RULE . 36. To the product of the numerical coeffi- cients , annex the product of the letters . EXAMPLES . 1. Multiply 5bc by 3a . Here ( Art . 8 ) the product is 5 bc × 3a , ( Art . 11 ) 5x3x bc xa ; that is , 15 bca , ( same Art . ) 15 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
4th power added Algebra algebraic quantities ANSWERS arithmetical ax² Belfast Academy binomial binomial theorem called coefficient common denominator common divisor compound quantity contained cube root cubic equation denote difference Divide dividend divisor equal equidifferent EXAMPLES FOR PRACTICE expressed Extract the square factors Find the sum find the value Given Equations gives greatest common measure Hence hypotenuse indicates infinite series least common multiple letters linear units logarithms means multiplied negative quantities nth root number of terms odd number plain positive prime proportion quadratic quadratic equation quan quotient ratio Reduce remainder Required the number RULE second term sides solved square root substitution subtracted surds symbol tion tity transposing transposition unknown quantities whence Art whole number
Δημοφιλή αποσπάσματα
Σελίδα 249 - London, in order to distinguish his own from any he might meet on the road, pulled three feathers out of the tail of each turkey, and one out of the tail of each goose ; and, upon counting them, found that the number of turkey's feathers exceeded twice those of the geese by 15.
Σελίδα 271 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 242 - A vintner sold 7 dozen of sherry and 12 dozen of claret for £50, and finds that he has sold 3 dozen more of sherry for £10 than he has of claret for £6. Required the price of each.
Σελίδα 256 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 256 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Σελίδα 294 - To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment.
Σελίδα 249 - ... feathers exceeded twice those of the geese by 15. Having bought 10 geese and sold 15 turkeys by the way, he was surprised to find, as he drove them into the poulterer's yard, that the number of geese exceeded the number of turkeys in the proportion of 7 to 3.
Σελίδα 246 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.
Σελίδα 250 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately 1 Ans.
Σελίδα 249 - A man and his wife could drink a barrel of beer in 15 days. After drinking together 6 days, the woman alone drank the remainder in 30 days. In what time would either alone drink a barrel...