The Elements of Algebra |
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... Division PAGE 1 7 14 CHAPTER II . 33 45 54 57 Algebraic Fractions ... Greatest Common Measure Least Common Multiple Involution and Evolution CHAPTER III . Simple Equations 79 Quadratic Equations 98 Problems 131 CHAPTER IV . Surds 154 ...
... Division PAGE 1 7 14 CHAPTER II . 33 45 54 57 Algebraic Fractions ... Greatest Common Measure Least Common Multiple Involution and Evolution CHAPTER III . Simple Equations 79 Quadratic Equations 98 Problems 131 CHAPTER IV . Surds 154 ...
Page 2
... division , thus 36 ÷ 12 read 36 divided by 12 , means the quotient of 36 by 12 , and ab , is the quotient of a by b ; but this is more commonly expressed by writing a above b and drawing a line between them ; thus ( 5 ) a = the sign of ...
... division , thus 36 ÷ 12 read 36 divided by 12 , means the quotient of 36 by 12 , and ab , is the quotient of a by b ; but this is more commonly expressed by writing a above b and drawing a line between them ; thus ( 5 ) a = the sign of ...
Page 14
... DIVISION OF ALGEBRAIC QUANTITIES . 14. PREVIOUs to the investigation of rules for the multi- plication and division of algebraic quantities , it will be ne- cessary that the beginner should have clear views of the nature of the positive ...
... DIVISION OF ALGEBRAIC QUANTITIES . 14. PREVIOUs to the investigation of rules for the multi- plication and division of algebraic quantities , it will be ne- cessary that the beginner should have clear views of the nature of the positive ...
Page 15
Thomas Grainger Hall. MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES . 15 - - α operations , addition and subtraction . But the signs + and are not limited to the interpretation of these rules only ; their general relative ...
Thomas Grainger Hall. MULTIPLICATION AND DIVISION OF ALGEBRAIC QUANTITIES . 15 - - α operations , addition and subtraction . But the signs + and are not limited to the interpretation of these rules only ; their general relative ...
Page 16
... + and , are to be multiplied by a simple term , the product is found by multiplying each term of the multiplicand by the multiplier , and collecting together the simple products affected 16 MULTIPLICATION AND DIVISION.
... + and , are to be multiplied by a simple term , the product is found by multiplying each term of the multiplicand by the multiplier , and collecting together the simple products affected 16 MULTIPLICATION AND DIVISION.
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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.