The Elements of Algebra |
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Page 4
... 10 ; 10 .. x = 5 . 2 And x + 3 = 8 . 8. The method used to obtain the answer to the pre- ceding question is obviously applicable to every other of the same kind ; instead however of multiplying examples , 4 INTRODUCTION .
... 10 ; 10 .. x = 5 . 2 And x + 3 = 8 . 8. The method used to obtain the answer to the pre- ceding question is obviously applicable to every other of the same kind ; instead however of multiplying examples , 4 INTRODUCTION .
Page 5
... methods for the solution of particular questions , but investigates rules by which all questions of the same kind may be solved ; i.e. S D it arrives at a general answer , such as + which will suit 2 2 , every question , whatever ...
... methods for the solution of particular questions , but investigates rules by which all questions of the same kind may be solved ; i.e. S D it arrives at a general answer , such as + which will suit 2 2 , every question , whatever ...
Page 8
... method of proceeding in addition is , to write the expressions whether simple or compound under each other , and add or subtract the coefficients of like terms as in the addition of numbers , thus , 5 a 7a a + b + 3c 3 a 2a + 2b + c 8 ...
... method of proceeding in addition is , to write the expressions whether simple or compound under each other , and add or subtract the coefficients of like terms as in the addition of numbers , thus , 5 a 7a a + b + 3c 3 a 2a + 2b + c 8 ...
Page 46
... method by which these are found differs but little from that which is used in finding the greatest common measure of numbers . When both of the algebraical quantities are simple terms , the greatest common measure is easily discovered ...
... method by which these are found differs but little from that which is used in finding the greatest common measure of numbers . When both of the algebraical quantities are simple terms , the greatest common measure is easily discovered ...
Page 54
... method is , x + 1 , and therefore the complete common measure is x2 + x . THE LEAST COMMON MULTIPLE OF TWO QUANTITIES . 54. A common multiple of two numbers is that num- ber which is divided by both ; and the least common mul- tiple ...
... method is , x + 1 , and therefore the complete common measure is x2 + x . THE LEAST COMMON MULTIPLE OF TWO QUANTITIES . 54. A common multiple of two numbers is that num- ber which is divided by both ; and the least common mul- tiple ...
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Common terms and phrases
2ab+b² a²+2ab+b² a²x² a³b ab² ab³ algebraical quantities arithmetic mean arithmetic series arithmetical progression ax² binomial coefficient common difference compound cube root decimal denominator digits divided dividend division divisor equal examples expressed Extract the square factor Find the greatest find the numbers Find the sum fraction geometrical progression greatest common divisor greatest common measure Hence last term least common multiple less letters logarithm multiplied negative number of terms numbers in arithmetical P₁ permutations QUADRATIC EQUATIONS quotient ratio remainder result rule shew square root subtract surd third unity unknown quantity whence write written xy³
Popular passages
Page 38 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 199 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 22 - 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.
Page 173 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.