The Elements of Algebra |
From inside the book
Results 1-5 of 18
Page 3
... fourth root of b ; but the square root of a is written √a and not Ja , the number in this root being always omitted . 5. The vinculum - or brackets ( ) , the former of which being placed above or the latter enclosing two or more ...
... fourth root of b ; but the square root of a is written √a and not Ja , the number in this root being always omitted . 5. The vinculum - or brackets ( ) , the former of which being placed above or the latter enclosing two or more ...
Page 17
... fourth and remaining terms of the multiplier , and all the separate products being found , the sum of all the terms thus arising will give the product required . The following examples will shew how the multiplication is effected . Ex ...
... fourth and remaining terms of the multiplier , and all the separate products being found , the sum of all the terms thus arising will give the product required . The following examples will shew how the multiplication is effected . Ex ...
Page 57
... number or quantity , or is the method by which the square , cube , fourth power , & c . of any quantity is to be found . We have already seen that the power of any simple 3-5 GREATEST COMMON MEASURE . 57 Involution and Evolution.
... number or quantity , or is the method by which the square , cube , fourth power , & c . of any quantity is to be found . We have already seen that the power of any simple 3-5 GREATEST COMMON MEASURE . 57 Involution and Evolution.
Page 58
... fourth , fifth , and nth powers of a . And to find the cube of a3 we write ( a2 ) 3 , but ( a2 ) 3 = a2 × aa × a2 = ao = a2 × 3 ; i . e . we multiply the index 2 by 3 . So to find the mth power of a " we write ( am ) " . But ( am ) ...
... fourth , fifth , and nth powers of a . And to find the cube of a3 we write ( a2 ) 3 , but ( a2 ) 3 = a2 × aa × a2 = ao = a2 × 3 ; i . e . we multiply the index 2 by 3 . So to find the mth power of a " we write ( am ) " . But ( am ) ...
Page 63
... fourth root of a , a . So also the cube root of a3 , may be put a3 , and the fourth root of a3 may be written aa • These remarks are very important , and will if fully un- derstood be exceedingly useful hereafter . 68. But it may be ...
... fourth root of a , a . So also the cube root of a3 , may be put a3 , and the fourth root of a3 may be written aa • These remarks are very important , and will if fully un- derstood be exceedingly useful hereafter . 68. But it may be ...
Other editions - View all
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.