New University AlgebraIvison, Blakeman, Taylor & Company, 1875 - 412 σελίδες |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a²x added algebraic quantity arithmetical arithmetical progression binomial factors coefficients cube root decimal places degree denominator denote difference dividend division dollars equal equation containing EXAMPLES FOR PRACTICE exponent expression figure Find the cube Find the square Find the sum find the values following RULE.-I formula geometrical progression given equation given number given quantity greater greatest common divisor identical equation inequality irreducible fraction least common multiple less letter miles minus sign monomial Multiply negative quantity nth root number of terms o'clock obtain OPERATION problem quadratic Quadratic Equation quan quotient radical sign rational Reduce remainder represent required root result second member second term shillings solution square root Sturm's Theorem subtracted suppose surd third three numbers tion transformed equation trial divisor unknown quantity whence whole numbers X₁ zero
Δημοφιλή αποσπάσματα
Σελίδα 167 - 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 66 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.
Σελίδα 176 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 167 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained...
Σελίδα 141 - But the relations of these quantities will not be changed, if we suppose the path of motion to be a curve, instead of a straight line. The above formula will therefore apply to the hands of a clock moving around the dial-plate, or to the planets moving in the circle of the heavens. It will thus afford a direct solution to the following problems : 1. The hour and minute hands of a clock are together at 12 o'clock ; when are they next together ? The circumference of the dial-plate is divided into 12...
Σελίδα 36 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Σελίδα 31 - That the exponent of any letter in the product is equal to the sum of its exponents in the two factors.
Σελίδα 36 - 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.
Σελίδα 264 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 266 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.