The Elements of Algebra and Trigonometry |
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Page 2
... give any difficulty as soon as algebra is seen in its application to practical questions . In the earlier pages of any treatise on algebra , the reader com- mencing the subject ought not to be surprised or discouraged if he sees but ...
... give any difficulty as soon as algebra is seen in its application to practical questions . In the earlier pages of any treatise on algebra , the reader com- mencing the subject ought not to be surprised or discouraged if he sees but ...
Page 9
... gives + , " " + + 99 " " - 99 " 9 + , 99 99 results which are expressed in words in the rule , that in multiplication ' like signs give + and unlike signs give - . ' 23. Conversely , the fact of the product of two quantities being ...
... gives + , " " + + 99 " " - 99 " 9 + , 99 99 results which are expressed in words in the rule , that in multiplication ' like signs give + and unlike signs give - . ' 23. Conversely , the fact of the product of two quantities being ...
Page 10
... gives 2 , or -28 - 183 - " " " " " " -'03 " -2 * 06 22 " " divided by -3 " "一朵- 6 99 99 99 -12 - -6 " " " " 99 12 . 26. Division is sometimes expressed in writing by the symbol + , a + b meaning that a is divided by b ; though a ÷ b a ...
... gives 2 , or -28 - 183 - " " " " " " -'03 " -2 * 06 22 " " divided by -3 " "一朵- 6 99 99 99 -12 - -6 " " " " 99 12 . 26. Division is sometimes expressed in writing by the symbol + , a + b meaning that a is divided by b ; though a ÷ b a ...
Page 11
... give the result a . α In the fraction , the quantity a is called , as in Arithmetic , the numerator , and b the denominator . 28. If a and b have the same signs the fraction is positive ( 25 ) , if different signs it is negative . If ...
... give the result a . α In the fraction , the quantity a is called , as in Arithmetic , the numerator , and b the denominator . 28. If a and b have the same signs the fraction is positive ( 25 ) , if different signs it is negative . If ...
Page 12
... gives the result a , is called the square root of a , and is written a . Thus , ax √a = a or a1 × a1 = a . a or Obs . - The symbol is supposed to be a perverted form of the letter r , the initial letter of the word root . A quantity ...
... gives the result a , is called the square root of a , and is written a . Thus , ax √a = a or a1 × a1 = a . a or Obs . - The symbol is supposed to be a perverted form of the letter r , the initial letter of the word root . A quantity ...
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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.