An Introduction to Algebra Upon the Inductive Method of InstructionCummings, Hilliard,, 1825 - 372 σελίδες |
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Σελίδα xi
... exponents XXVI . Examination of general formulas , to see what values the unknown quantities will take for par- ticular suppositions made upon the known quan- tities XXVII . Questions producing equations of the second degree XXVIII ...
... exponents XXVI . Examination of general formulas , to see what values the unknown quantities will take for par- ticular suppositions made upon the known quan- tities XXVII . Questions producing equations of the second degree XXVIII ...
Σελίδα xii
... exponents and irrational quantities 262 XLI . Binomial Theorem 269 XLII . Summation of series by differences 277 XLIII . Same subject continued 289 XLIV . Binomial Theorem , continued from Art . XLI . 294 XLV . Continuation of the same ...
... exponents and irrational quantities 262 XLI . Binomial Theorem 269 XLII . Summation of series by differences 277 XLIII . Same subject continued 289 XLIV . Binomial Theorem , continued from Art . XLI . 294 XLV . Continuation of the same ...
Σελίδα 85
... exponent of that letter . The ex- ponent affects no letter except the one over which it is written . Care must be taken not to confound exponents with coefficients . The quantities 3a and a have very different values . Suppose a = 4 ...
... exponent of that letter . The ex- ponent affects no letter except the one over which it is written . Care must be taken not to confound exponents with coefficients . The quantities 3a and a have very different values . Suppose a = 4 ...
Σελίδα 86
... exponents show how many times a letter is a factor in any quantity ; hence if any letter is contained as a factor one or more times in both multiplier and multiplicand , the exponents being added together will give the e pos nent of ...
... exponents show how many times a letter is a factor in any quantity ; hence if any letter is contained as a factor one or more times in both multiplier and multiplicand , the exponents being added together will give the e pos nent of ...
Σελίδα 102
... exponents , thus as multiplied by a2 is a3 + 2 = a5 . In similar cases , division is performed by subtracting the exponent of the divisor from that of the dividend . a divided by a is a 5-2 = a3 . 10. Divide 6 a2 b3 c by 3 abs . Ans . 2 ...
... exponents , thus as multiplied by a2 is a3 + 2 = a5 . In similar cases , division is performed by subtracting the exponent of the divisor from that of the dividend . a divided by a is a 5-2 = a3 . 10. Divide 6 a2 b3 c by 3 abs . Ans . 2 ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root 5th power a b c A's share added algebraic quantities answer the conditions apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor find the root formula fourth fraction gallons gives greater Hence horse less Let the learner letter logarithm miles multi multiplicand multiplied negative quantity number of dollars number of terms observe pears question quotient received remainder required to find right hand figure rule second power second root second term shillings sold subtracted Suppose tens third power third root third term twice units unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 129 - 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.
Σελίδα 317 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα ii - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 116 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 364 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Σελίδα 38 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 363 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.
Σελίδα 312 - London to go round the •world, (23661 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.
Σελίδα 368 - ... and dollars diminished by 2, is half the number of coins. What is the number of coins of each sort ? 40. Suppose a man owes $1000, what sum shall he pay daily so as to cancel the debt, principal and interest, at the end of a year, reckoning it at 6 per cent. simple interest ? 41. A merchant bought two pieces of linen cloth, containing together 120 yards. He sold each piece for as many cents per yard as it contained yards, and found that one brought him in only A as much as the other.