The Elements of Algebra and Trigonometry |
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Page 6
... condition to the same quantity + a . The reversing then of -a throws it into the same condition with + a . Thus , α = + a and so on . α = -α · α = + a Questions for Exercise . 18. If a means 20 and b means 10 in the following ques ...
... condition to the same quantity + a . The reversing then of -a throws it into the same condition with + a . Thus , α = + a and so on . α = -α · α = + a Questions for Exercise . 18. If a means 20 and b means 10 in the following ques ...
Page 62
... to the particular value of the length of this string of the problem by the condition that 3 ( x — a ) feet means ỏ feet . • ( x - a ) b feet . " " " " 2 x - a ४ 22 29 36 2 36 feet . + a feet . 2 It will be seen that if a = 4 , 62 Algebra .
... to the particular value of the length of this string of the problem by the condition that 3 ( x — a ) feet means ỏ feet . • ( x - a ) b feet . " " " " 2 x - a ४ 22 29 36 2 36 feet . + a feet . 2 It will be seen that if a = 4 , 62 Algebra .
Page 86
... conditions of the problem have led us to two expressions , ( a ) and ( b ) , for the same sum of money , and thereby supply the equation 3x - 8 = 2x + 3 , whence x = II , or there are 11 boys . The money which the person has is thence ...
... conditions of the problem have led us to two expressions , ( a ) and ( b ) , for the same sum of money , and thereby supply the equation 3x - 8 = 2x + 3 , whence x = II , or there are 11 boys . The money which the person has is thence ...
Page 93
... condition of the question , 4x - 4 6x - 4 = 4 2X 3х whence x = 2 . and the polygons have 4 and 6 sides , that is , they are a square and a regular hexagon . 187. 15. The present age of a person between 21 and 29 years old is such that ...
... condition of the question , 4x - 4 6x - 4 = 4 2X 3х whence x = 2 . and the polygons have 4 and 6 sides , that is , they are a square and a regular hexagon . 187. 15. The present age of a person between 21 and 29 years old is such that ...
Page 98
... condition of the problem , .. 4 ( x - 3 ) = of 5 ( x + 3 ) , = } or 12 ( x - 3 ) 10 ( x + 3 ) ; ..x = 33 , x + 3 = 36 , or 3600l . was originally borrowed . 193. 43. A merchant lost a cargo at sea which he had insured . The broker ...
... condition of the problem , .. 4 ( x - 3 ) = of 5 ( x + 3 ) , = } or 12 ( x - 3 ) 10 ( x + 3 ) ; ..x = 33 , x + 3 = 36 , or 3600l . was originally borrowed . 193. 43. A merchant lost a cargo at sea which he had insured . The broker ...
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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.