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" Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 222
των Warren Colburn - 1831 - 276 σελίδες
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...coefficient of the last term is 1, though it may be found by the rule Hence the 7th power of a -|- x is Examining the formation of the above coefficients,...dividing the product by the number which marks the place of that term. Thus the coefficient of the third term was found by multiplying 7, the coefficient of...

The Boston Journal of Philosophy and the Arts, Τόμος 2

John White Webster, John Ware, Daniel Treadwell - 1825
...of the last term is 1, though it may bs found by the rule 1X7 _ T~~ Henpe the 7th power of a -\- x is Examining the formation of the above coefficients,...dividing the product by the number which marks the place of that term. Thus the coefficient of the third term was found by multiplying 7, the coefficient of...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1826 - 276 σελίδες
..._ j 7 Hence the 7th power of a + x is a7 -f- 7 a6 x + 21 aV + 35 aV+ 35 a3 z4 + 21 a'x' -\-Tax'+x7 Examining the formation of the above coefficients,...dividing the product by the number which marks the place of that term. Thus the coefficient of the third term was found by multiplying 7, the coefficient of...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...rule Hence the 7th power of a -f- x is a' +7a"ir +21 a6 a;* f- 35aV + 35 a' a4 +21 a* a;' + 7acc'+*' Examining the formation of the above coefficients,...observe, that each coefficient was found by multiplying th<3 co< fficient of the preceding term by the exponent of the leading quantity a in that term, and...

A concise system of mathematics

Alexander Ingram - 1830 - 120 σελίδες
...first term is 1, that of the second is the name of the power, and in the following terms it is got by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing the product by the number of that term. 5. That when the signs of both quantities...

Elements of Algebra: Tr. from the French of M. Bourdon, for the Use ..., Τόμος 1

Bourdon (M., Louis Pierre Marie) - 1831 - 389 σελίδες
...any term is formed from the coefficient of the preceding term. The coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. For,...

Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1831 - 304 σελίδες
...place is formed by means of the preceding coefficient. Ihe coefficient of a term of any place is formed by multiplying the coefficient of the preceding term by the exponent of x in this term, and dividing the product by the number of terms which precede that which is considered,...

Elements of Algebra: Tr. from the French of M.Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 353 σελίδες
...term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. P(m—n+l)...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1836 - 276 σελίδες
...7_1 7' Hence the 7th power of a -f- x is a' -f-7aea: + 21 aV f-SSaV-p- 35a3a;4 + 21 a' x* + 1ax'+x' Examining the formation of the above coefficients,...coefficient of the preceding term by the exponent of the hurling quantity a in that term, and dividing the product by the number which marks the place of that...

Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836
...is the same as that of xr aC-'. See art [264]. Fourthly, that the coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing by the number of terms preceding the one in question. This rule is of...




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