The elements of algebra1842 - 120 pages |
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Common terms and phrases
2ab+ 2ab+b² 2x³y 3xy³ a²x² a³b ab² ab³ algebraical quantities Arithmetic b² a² binomial Binomial Theorem C₁ coeff Combs common difference common factor common multiple contain cube root decimal den's denary denote digits divided dividend divisible divisor equal equation EXAMPLES expressed Find the 4th Find the number Find the square Find the sum Find the value fourth GEOM greatest common measure hence integer least common multiple letters means Multiply negative nth root nth term positive integral solutions PROG proper fraction proportionals quadratic quadratic surd quotient radix ratio rational quantity Reduce remainder scale shew simple simplest form square root subtract surd taken things unknown quantity Varns vulgar fraction whence x³y xy³ yards
Popular passages
Page 2 - ... x Into, signifies that the quantities between which it stands are to be multiplied together. Thus ax 6 signifies that the quantity represented by a is to be multiplied by the quantity represented by b*.
Page 141 - IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents. Let...
Page 86 - The plate of a looking-glass is 18 inches by 12, and it is to be surrounded by a plain frame of uniform width/ having a surface equal to that of the glass.
Page 31 - If the numerator and -denominator of a fraction be both multiplied, or both divided, by the same quantity, the value of /the fraction is not altered.
Page 63 - A cask which held 146 gallons, was filled with a mixture of brandy, wine and water. There were 15 gallons of wine more than of brandy, and as much water as the brandy and wine together.
Page 67 - ... as many men in front as there were spectators. Had the depth however been increased by 5, and the spectators drawn up in the mass with the army, the number of men in front would have been 100 fewer than before.
Page 71 - A's stock would have been to B's as 5 to'H). What was the stock of each? Ans. A's $300 and B's $350. 7. A rectangular bowling green having been measured, it was observed, that if it were 5 feet broader, and 4 feet longer, it would contain 116 feet more ; but if it were 4 feet broader, and 5 feet longer, it would contain 113 feet more. Required the length and breadth.
Page 55 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 86 - A detachment of an army was marching in regular column, with 5 men more in depth than in front; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines. Required the number of men.
Page 86 - A detachment from an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men, and by this movement the detachment was drawn up in five lines.