The Elements of Algebra and Trigonometry |
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Page 9
... DIVISION OF ALGEBRAIC QUANTITIES . 25. If , in the ordinary arithmetical sense , a quantity a is divided by a quantity b , the result is expressed by writing these letters in the form of a fraction , the divisor being in α b place of ...
... DIVISION OF ALGEBRAIC QUANTITIES . 25. If , in the ordinary arithmetical sense , a quantity a is divided by a quantity b , the result is expressed by writing these letters in the form of a fraction , the divisor being in α b place of ...
Page 10
... division we know that the divisor and quotient multiplied together produce the dividend . Hence : 1. If the dividend is positive , and the product of the divisor and quotient is positive , the divisor and quotient have the same sign ...
... division we know that the divisor and quotient multiplied together produce the dividend . Hence : 1. If the dividend is positive , and the product of the divisor and quotient is positive , the divisor and quotient have the same sign ...
Page 17
... division , the former of the quantities between which it stands divided by the latter . ✓ means the square root of the quantity to which it is prefixed , the cube root . 45. Examples of the power of brackets : 1. a− ( b − c ) + c ...
... division , the former of the quantities between which it stands divided by the latter . ✓ means the square root of the quantity to which it is prefixed , the cube root . 45. Examples of the power of brackets : 1. a− ( b − c ) + c ...
Page 19
... divisions : 1. Addition and subtraction . 2. Multiplication and division . 3. Involution and evolution . ADDITION AND SUBTRACTION . 47. When the same letter , expressing quantity , appears with numerical coefficients ( 20 ) , as 5a , 3a ...
... divisions : 1. Addition and subtraction . 2. Multiplication and division . 3. Involution and evolution . ADDITION AND SUBTRACTION . 47. When the same letter , expressing quantity , appears with numerical coefficients ( 20 ) , as 5a , 3a ...
Page 30
... DIVISION . 72. The division of one algebraic quantity by another is expressed by writing the latter , which we will call , as in Arithmetic , the divisor , beneath the other , which we will call the dividend , the result signified being ...
... DIVISION . 72. The division of one algebraic quantity by another is expressed by writing the latter , which we will call , as in Arithmetic , the divisor , beneath the other , which we will call the dividend , the result signified being ...
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Common terms and phrases
a²+b² added algebraic quantity angle BAC angle PAQ arithmetic called cent circle circumference coefficient complement compound interest computed containing denominator denote difference digits divided dividend division divisor equal Euclid Examples for Practice expressed Find the number former fraction gallons gives goniometrical Hence hypotenuse inches instance integer known latter length less logarithm magnitude means measured method miles an hour minutes monomial multiplied negative sign observed perpendicular places of decimals positive problem prop proper fraction proportional quadratic quadratic equation quotient radius ratio result right angle right-angled triangle Science Examination shillings simple equation sine solution solved square feet square root subtracted Suppose symbols tables taken tangent tion triangle ABC triangle wherein Trigonometry unknown quantity vertical whence yards zero ΙΟ
Popular passages
Page 174 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ? 13. A and B distribute £60 each among a certain number of persons : A relieves 40 persons more than B does, and B gives to each 5*.
Page 178 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.