The Elements of Algebra and Trigonometry |
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Page 3
... opposite characters which magnitude may have in some defined respect , it is imma- terial which of the two signs is taken to represent one of those characters , the other sign representing the opposite character . Thus , a ora , may ...
... opposite characters which magnitude may have in some defined respect , it is imma- terial which of the two signs is taken to represent one of those characters , the other sign representing the opposite character . Thus , a ora , may ...
Page 5
... opposite signs can in virtue of the reversing power of these signs be sub- tracted one from another . The result of this subtraction is expressed by writing the symbols one after another with their proper algebraic signs in a horizontal ...
... opposite signs can in virtue of the reversing power of these signs be sub- tracted one from another . The result of this subtraction is expressed by writing the symbols one after another with their proper algebraic signs in a horizontal ...
Page 10
... opposite signs ( 23 ) ; .. if the divisor is positive , the quotient is negative , if the divisor is negative , the quotient is positive . To collect these results , when the divisor and dividend . have the same sign , the quotient is ...
... opposite signs ( 23 ) ; .. if the divisor is positive , the quotient is negative , if the divisor is negative , the quotient is positive . To collect these results , when the divisor and dividend . have the same sign , the quotient is ...
Page 13
... opposite in sign . Thus , either 8 or -8 is the square root of 64 , 2 or is the fourth root of 16 , 2 or −2 is the sixth root of 64 . -2 A quantity has but on enumerical cube root of the same sign as its own , so also only one ...
... opposite in sign . Thus , either 8 or -8 is the square root of 64 , 2 or is the fourth root of 16 , 2 or −2 is the sixth root of 64 . -2 A quantity has but on enumerical cube root of the same sign as its own , so also only one ...
Page 226
... opposite in sign . 26. Hence when an angle is given it will have a certain determinate number which is its tangent , and when any number affected with either algebraic sign is presented there will be a certain determinate angle less ...
... opposite in sign . 26. Hence when an angle is given it will have a certain determinate number which is its tangent , and when any number affected with either algebraic sign is presented there will be a certain determinate angle less ...
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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.