An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1830 - 276 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 4
... Binomial Theorem is entirely original , so far as regards the rule for finding the coefficients . The rule itself is the same that has always been used . The manner of treating and demonstrating the principle of summing series by ...
... Binomial Theorem is entirely original , so far as regards the rule for finding the coefficients . The rule itself is the same that has always been used . The manner of treating and demonstrating the principle of summing series by ...
Σελίδα 8
... Binomial Theorem 202 XLII . Summation of series by differences 208 XLIII . Same subject continued 217 XLIV . Binomial Theorem , continued from Art . XLI . XLV . Continuation of the same subject XLVI . Progression by difference , or ...
... Binomial Theorem 202 XLII . Summation of series by differences 208 XLIII . Same subject continued 217 XLIV . Binomial Theorem , continued from Art . XLI . XLV . Continuation of the same subject XLVI . Progression by difference , or ...
Σελίδα 201
... root written over it . The expression 5 a b3 becomes 4 2 3 5 ‡ a ‡ b2 = ( 5 a2 b3 ) ‡ . The expression √ a2 + b2 is equivalent to ( a2 + b2 ) * XLI . Binomial Theorem . It has already been remarked XL . Fractional Exponents . 201.
... root written over it . The expression 5 a b3 becomes 4 2 3 5 ‡ a ‡ b2 = ( 5 a2 b3 ) ‡ . The expression √ a2 + b2 is equivalent to ( a2 + b2 ) * XLI . Binomial Theorem . It has already been remarked XL . Fractional Exponents . 201.
Σελίδα 202
... ∞ a + x a + 4 a1x + 6 a3 x2 + 4 a2 x3 + α x * a a1 x + 4 a3 x2 + 6a2 x3 + 4 ax1 + x3 ( a + x ) 3 = a3 + 5 a1 x + 10 a3 x2 + 10 a2 x3 + 5 a x1 + x3 . The law of the formation of the literal part is 202 XLI . Algebra . Binomial Theorem.
... ∞ a + x a + 4 a1x + 6 a3 x2 + 4 a2 x3 + α x * a a1 x + 4 a3 x2 + 6a2 x3 + 4 ax1 + x3 ( a + x ) 3 = a3 + 5 a1 x + 10 a3 x2 + 10 a2 x3 + 5 a x1 + x3 . The law of the formation of the literal part is 202 XLI . Algebra . Binomial Theorem.
Σελίδα 203
... binomial is raised , and it diminishes by one in each succeeding term . The exponent of x in the second term is 1 , and it increases by one in each succeeding term , until in the last term it is the same as that of a ... Binomial Theorem .
... binomial is raised , and it diminishes by one in each succeeding term . The exponent of x in the second term is 1 , and it increases by one in each succeeding term , until in the last term it is the same as that of a ... Binomial Theorem .
Περιεχόμενα
189 | |
193 | |
195 | |
197 | |
202 | |
208 | |
217 | |
221 | |
95 | |
102 | |
112 | |
121 | |
122 | |
131 | |
142 | |
150 | |
159 | |
175 | |
182 | |
186 | |
226 | |
228 | |
233 | |
239 | |
242 | |
254 | |
256 | |
260 | |
264 | |
267 | |
268 | |
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 a b c A's share a² b² a² b³ a²x² added algebra algebraic quantities answer the conditions apiece apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels cents coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expression factor find the root formula fourth fraction gallons gives greater Hence less Let the number letter logarithm merator miles multiplicand negative quantity number consisting number of dollars number of terms observe pears quan question quotient remainder required to find rule second power second root shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 92 - 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 2 - 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 233 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 97 - Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
Σελίδα 86 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 149 - ... square feet more than it would, if it were only equal to the breadth. Required the length and breadth of the room. 12. There is a rectangular field, whose length is to its breadth in the proportion of 6 to 5. A part of this, equal to | of the whole, being planted, there remain for ploughing 625 square yards. What are the dimensions of the field r 13.
Σελίδα 276 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the...