Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young, and the Method of Instruction, in Schools and AcademiesDurrie & Peck, 1848 - 252 Seiten |
Häufige Begriffe und Wortgruppen
4th power added affected quadratic algebraic antecedent arithmetical binomial BINOMIAL THEOREM common denominator common difference common index completing the square compound quantities contains cube root denoted Divide the number dividend division divisor dollars equal factors evolution EXAMPLES FOR PRACTICE expressed extermination Find the square find two numbers following GENERAL RULE fractional index gallons geometrical geometrical progression given quantity greater greatest common measure Hence highest power improper fraction integer involution last term less letter lowest power merator Mult multiplicand multiplying the equation negative quantity nth root number of terms preceding prefixed Prob proportion quadratic equation quan QUEST.-How QUEST.-What quotient radical quantities radical sign ratio rational quantities Reduce the equation remainder Required the cube Required the nth sides sign or index square of half square root substituting subtracted third tion tity Transposing twice unknown quantity whole yards
Beliebte Passagen
Seite 51 - 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.
Seite 210 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Seite 232 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Seite 198 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c.
Seite 94 - Hence any odd power has the same sign as its root. But an even power is positive, whether its root is positive or negative.
Seite 65 - To multiply a fraction by a fraction. Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Seite 58 - To reduce fractions of different denominators to a common denominator. Multiply each numerator into all the denominators except its own for a new numerator ; and all the, denominators together^ for a common denominator. 8. Reduce -r, and -,, and — to a common denominator. 6
Seite 21 - One quantity is said to be a measure of another, when the former is contained in the latter any number of times, without a remainder.
Seite 228 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Seite 183 - The same method which is employed for the reduction of three equations, may be extended to 4, 5, or any number of equations, containing as many unknown quantities. The unknown quantities may be exterminated, one after another, and the number of equations may be reduced by successive steps from five to four, from four to three, from three to two, &c. !' I"*! *t y t