An Introduction to Algebra: Being the First Part of a Course of Mathematics : Adapted to the Method of Instruction in the American CollegesDurrie & Peck, 1848 - 332 σελίδες |
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12 rods abscissa added algebraic antecedent applied arithmetical arithmetical progression become binomial breadth calculation called co-efficients common difference Completing the square compound quantity consequent contained cube root cubic equation curve diminished Divide the number dividend division divisor dollars equa Euclid exponents expression extracting factors fourth fraction gallons geometrical geometrical progression given quantity greater greatest common measure Hence inches infinite series inverted last term length less letters manner mathematics Mult multi multiplicand multiplied or divided negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive preceding prefixed principle Prob proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule sides square root substituted subtracted subtrahend supposed supposition third tion tities Transposing twice unit unknown quantity varies whole number
Δημοφιλή αποσπάσματα
Σελίδα 59 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 72 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Σελίδα 165 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 124 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 20 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.
Σελίδα 188 - 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.
Σελίδα 83 - ... of the whole, either slain, taken prisoners, or missing. Of how many men did his army consist 1 SECTION VIII.
Σελίδα 172 - Four times the product of any two numbers, is equal to the square of their sum, diminished by the square of their difference. Let x= the greater number, s= their sum, y= the less, d— their difference.
Σελίδα 49 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Σελίδα 151 - Prob. 18. A gentleman bought two pieces of cloth, the finer of which cost 4 shillings a yard more than the other. The finer piece cost .£18 ; but the coarser one, which was 2 yards longer than the finer, cost only ,£16. How many yards were there in each piece, and what was the price of a yard of each ? Ans.