The Elements of Algebra and Trigonometry |
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Page 6
... equal magnitude . —a = o . 16. The sign , read ' equals , ' denoting equality of the quantities between which it stands , and the sign o , read ' zero ' or ' naught , ' denoting nullity or absence of all magni- tude , are used in ...
... equal magnitude . —a = o . 16. The sign , read ' equals , ' denoting equality of the quantities between which it stands , and the sign o , read ' zero ' or ' naught , ' denoting nullity or absence of all magni- tude , are used in ...
Page 11
... equal parts , a of these parts are taken . In every case an algebraical fraction will mean a quantity which , if it be multiplied by b , will b give the result a . α In the fraction , the quantity a is called , as in Arithmetic , the ...
... equal parts , a of these parts are taken . In every case an algebraical fraction will mean a quantity which , if it be multiplied by b , will b give the result a . α In the fraction , the quantity a is called , as in Arithmetic , the ...
Page 13
... equal in magnitude but 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 ...
... equal in magnitude but 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 ...
Page 17
... equal to one another . > means ' greater than , ' and < means ' less than , ' the opening being towards the quantity to be designated as the greater of the two which are compared . .. is a symbol to stand for the word ' therefore ...
... equal to one another . > means ' greater than , ' and < means ' less than , ' the opening being towards the quantity to be designated as the greater of the two which are compared . .. is a symbol to stand for the word ' therefore ...
Page 45
... equal to 1 , a is equal to ¿ . b 101. A fraction is not altered in value if its numerator and denominator are both multiplied by the same quantity . This amounts to nothing more than increasing the magni- tude to be divided in the same ...
... equal to 1 , a is equal to ¿ . b 101. A fraction is not altered in value if its numerator and denominator are both multiplied by the same quantity . This amounts to nothing more than increasing the magni- tude to be divided in the same ...
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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.