The Elements of Algebra and Trigonometry |
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Page 61
... determined . This will be understood as the present chapter proceeds . 127. Obs . It is customary to represent known quantities by earlier letters of the alphabet , a , b , c , & c . , and unknown quantities by the concluding letters of ...
... determined . This will be understood as the present chapter proceeds . 127. Obs . It is customary to represent known quantities by earlier letters of the alphabet , a , b , c , & c . , and unknown quantities by the concluding letters of ...
Page 63
... determination . When the unknown quantities of an equation or system of equations are by proper processes separately expressed in terms of known quantities , the equation or equations are said to be solved . If numerical values be the ...
... determination . When the unknown quantities of an equation or system of equations are by proper processes separately expressed in terms of known quantities , the equation or equations are said to be solved . If numerical values be the ...
Page 68
... determined quantity , should have more values than one , which it cannot have . In advancing with the subject of Algebra the student will arrive at equations which have more than one root . For instance , he will find by substitu- tion ...
... determined quantity , should have more values than one , which it cannot have . In advancing with the subject of Algebra the student will arrive at equations which have more than one root . For instance , he will find by substitu- tion ...
Page 81
... determined the roots under which it appears at present must be removed , and this must be by the process of squaring both sides of the equation ( 134 v . ) . In this example , however , it will be found that the process has to be ...
... determined the roots under which it appears at present must be removed , and this must be by the process of squaring both sides of the equation ( 134 v . ) . In this example , however , it will be found that the process has to be ...
Page 89
... determined , it has been for some foreseen convenience of making the numbers introduced smaller , and the numerical processes by consequence less troublesome . Each of these problems may be tried by other assumptions , and the ...
... determined , it has been for some foreseen convenience of making the numbers introduced smaller , and the numerical processes by consequence less troublesome . Each of these problems may be tried by other assumptions , and the ...
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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.