The Elements of Algebra and Trigonometry |
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Page 2
... magnitude , can have any definiteness , and can lead to any certain numerical results , how such symbols can be kept from confusion , how we are to know what each means . Such questions as these are noticed to assure the reader that his ...
... magnitude , can have any definiteness , and can lead to any certain numerical results , how such symbols can be kept from confusion , how we are to know what each means . Such questions as these are noticed to assure the reader that his ...
Page 3
... magnitude is so represented has a contrary property or affection in some defined respect . If a denotes a sum of money received , -a can denote the same sum of money paid away , the quantity represented having these contrary properties ...
... magnitude is so represented has a contrary property or affection in some defined respect . If a denotes a sum of money received , -a can denote the same sum of money paid away , the quantity represented having these contrary properties ...
Page 6
... magnitude , the one term meaning a magnitude operating with a reversing or destruc- tive effect on another equal magnitude . —a = o . 16. The sign , read ' equals , ' denoting equality of the quantities between which it stands , and the ...
... magnitude , the one term meaning a magnitude operating with a reversing or destruc- tive effect on another equal magnitude . —a = o . 16. The sign , read ' equals , ' denoting equality of the quantities between which it stands , and the ...
Page 7
... magnitude and of the same sign . The result , therefore , is double of either of them , and is written . 2a . Similarly a + a + a would be 3a , and if b means the number of times that a is repeated , a + a + a + ... would be ba . On ...
... magnitude and of the same sign . The result , therefore , is double of either of them , and is written . 2a . Similarly a + a + a would be 3a , and if b means the number of times that a is repeated , a + a + a + ... would be ba . On ...
Page 8
... magnitude to which it is pre- fixed , multiplying by a negative multiplier means the taking the multiple or part thus designated , and reversing besides the sign of the quantity multiplied . Hence : 1. If a positive quantity , a , is ...
... magnitude to which it is pre- fixed , multiplying by a negative multiplier means the taking the multiple or part thus designated , and reversing besides the sign of the quantity multiplied . Hence : 1. If a positive quantity , a , is ...
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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.