Algebra: Adapted to the Course of Instruction Usually Pursued in the Colleges and Academies of the United StatesJ. P. Morton & Company, 1865 - 298 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Algebra: Adapted To The Course Of Instruction Usually Pursued In The ... Paul Allen Towne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
2nd power 3x²y 3xy² 4th power algebraic arithmetical arithmetical mean arithmetical progression coefficient denominator difference Divide x² dividend equation whose roots equation x³ EXAMPLES exponent expression figure Find the 5th Find the equation Find the greatest Find the least Find the number Find the product Find the roots Find the value find x fractions geometrical mean geometrical progression given equation Given x² greatest common divisor last term least common multiple letters mantissa miles minuend mixed quantity monomials Multiply negative number of terms Operation problem Prop proportion px² quotient Reduce remainder root of x³ second member Simplify Solution Solve the equation square root subtract take the square transposed unknown quantity Va² Vide Def whence x²y x²y² x³y xy² xy³ y² x²
Δημοφιλή αποσπάσματα
Σελίδα 122 - A banker has two kinds of money ; it takes a pieces of the first to make a crown, and b of the second to make the same sum. Some one offers him a crown for c pieces. How many of each kind must the banker give him ? Ans.
Σελίδα 105 - Find the value of one of the unknown quantities, in terms of the other, from either of the given equations. II. Substitute this value for the same unknown quantity in the other equation.
Σελίδα 226 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 40 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 57 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Σελίδα 239 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 195 - A man travelled 105 miles, and then found that if he had not travelled so fast by 2 miles an hour, he should have been 6 hours longer in performing the journey.
Σελίδα 117 - C in ten days ; how many days would it take each to perform the same work alone ? Ans.
Σελίδα 223 - If the means of a proportion are equal, either mean is called a Mean Proportional between the first and last terms, and the last term is called a Third Proportional to the first and second terms.
Σελίδα 43 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.