Elements of Algebra: For Colleges, Schools, and Private Students, Βιβλίο 2Wilson, Hinkle & Company, 1866 - 406 σελίδες |
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Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 11
... called symbols . 6. Known Quantities are generally represented by the first letters of the alphabet ; as , a , b , c , etc. Unknown Quantities are represented by the last letters ; as , t , v , x , y , z . 7. The principal signs used in ...
... called symbols . 6. Known Quantities are generally represented by the first letters of the alphabet ; as , a , b , c , etc. Unknown Quantities are represented by the last letters ; as , t , v , x , y , z . 7. The principal signs used in ...
Σελίδα 12
... called the signs . The former is called the positive , the latter the negative sign ; they are said to be contrary , or opposite . 12. Every quantity is supposed to have either the posi- tive or negative sign . When a quantity has no ...
... called the signs . The former is called the positive , the latter the negative sign ; they are said to be contrary , or opposite . 12. Every quantity is supposed to have either the posi- tive or negative sign . When a quantity has no ...
Σελίδα 13
... called numeral or literal , according as it is a number or a letter . Thus , in the quantities 5x and mx , 5 is a numeral and m a literal coefficient . In 3az , 3 may be considered as the coëfficient of az , or 3a as the coëfficient of ...
... called numeral or literal , according as it is a number or a letter . Thus , in the quantities 5x and mx , 5 is a numeral and m a literal coefficient . In 3az , 3 may be considered as the coëfficient of az , or 3a as the coëfficient of ...
Σελίδα 14
... called the square or second root , the cube or third root , the fourth root , etc. , according to the number of times it must be taken as a factor to produce the given quantity . Thus , 2 is the second or square root of 4 , since 2 × 2 ...
... called the square or second root , the cube or third root , the fourth root , etc. , according to the number of times it must be taken as a factor to produce the given quantity . Thus , 2 is the second or square root of 4 , since 2 × 2 ...
Σελίδα 15
... called a simple quantity , or term . 24. A Polynomial , or Compound Quantity , is an alge- braic expression composed of two or more terms ; as , a + b , c - x + y , etc. 25. A Binomial is a quantity having two terms ; as , a + b , x2 + ...
... called a simple quantity , or term . 24. A Polynomial , or Compound Quantity , is an alge- braic expression composed of two or more terms ; as , a + b , c - x + y , etc. 25. A Binomial is a quantity having two terms ; as , a + b , x2 + ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2d Bk algebraic ALGEBRAIC QUANTITIES arithmetical progression binomial Binomial Theorem coefficient common divisor Completing the square Corollary cube root decimal degree denominator derived polynomial Divide dividend division equa equal roots equation containing equation whose roots evident example exponent Extract the square factors Find the cube find the number Find the square Find the sum find the value geometrical progression given equation given number gives greater greatest common divisor Hence imaginary inequality less letters logarithms method minus monomial Multiply negative roots nth root number of balls number of terms perfect square positive root preceding Proposition quadratic equation quotient ratio real roots reduced remainder Required the number required to find result second term solved square root Sturm's theorem substituted subtracted taken Theorem third tion transform transposing trinomial unity unknown quantity Whence whole number X₁
Δημοφιλή αποσπάσματα
Σελίδα 136 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 289 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of
Σελίδα 35 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Σελίδα 39 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 148 - ... by the last figure of the root, and subtract the product from the dividend ; to the remainder bring down the next period for a new dividend.
Σελίδα 187 - CD, and, on meeting, it appeared that A had traveled 18 miles more than B ; and that A could have gone B's journey in 15 £ days, but B would have been 28 days in performing A's journey.
Σελίδα 68 - Reduce the fractions to a common denominator ; then subtract the numerator of the subtrahend from the numerator of the minuend, and write the result over the common denominator. EXAMPLES. H ,_, Zx . ^ 3x 1. From -^- subtract — . oo . Eeducing to a common denominator, the fractions become Wx 9x "15...
Σελίδα 37 - Since, in multiplying a polynomial by a monomial, we multiply each term of the multiplicand by the multiplier ; therefore, we have the following RULE, FOR DIVIDING A POLYNOMIAL BY A MONOMIAL. Divide each term of the dividend, by the divisor, according to the rule for the division of monomials.
Σελίδα 236 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 43 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.