Numbers Universalized: An Advanced Algebra, Τόμος 2American Book Company, 1890 - 530 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
NUMBERS UNIVERSALIZED David M. (David Martin) B. 18 Sensenig Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c a+bi a₁ a² b² algebraic antilog arithmetical arithmetical progression b₁ b₂ binomial C₁ chance coefficients common multiple Complete the square contains continued fraction convergent cube root denominator difference divided divisible divisor equal equation EXERCISE exponent expressed factor Find the number Find the sum Find the value finite constant function geometrical geometrical progression hence Illustration Illustrations.-1 infinite infinitesimal integer logarithm mantissa monomial Multiply negative nth term number of terms odd number P₁ partial fractions polynomial Q₁ quadratic quadratic surds quotient r₁ ratio Reduce remainder second term Solution Solve square root Substitute Subtract surd synthetic division Theorem trial divisor units unknown quantities variable vector whence x² y² zero ΔΥ
Δημοφιλή αποσπάσματα
Σελίδα 57 - 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 49 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 254 - For, since 10" = 10, the log. of 10 is 1 ; and since 10° = 1, the logarithm of 1 is 0. PRIN. 3. — The characteristic of the logarithm of a decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and the first significant figure. For, if we raise the base, 10, to powers which give decimals, we will have, 10° = 1 ; hence, log 1 = 0 ; 10—'=.
Σελίδα 39 - ... term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.
Σελίδα 38 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the two, plus the square of the second.
Σελίδα 239 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 8 - Magnitudes which are equal to the same magnitude, or equal magnitudes, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal...
Σελίδα 302 - A MORTGAGE is the conveyance of an estate, by way of pledge for the security of debt; and to become void on payment of it.
Σελίδα 202 - A' courier proceeds from P to Q in 14 hours. A second courier starts at the same time from a place 10 miles behind P, and arrives at Q at the same time as the first courier. The second courier finds that he takes half an hour less than the first to accomplish 20 miles. Find the distance from P to Q.
Σελίδα 8 - AXIOMS. 1. Things that are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal. 5. If equals are divided by equals, the quotients are equal. 6. Equal powers of equal quantities are equal.