The Elements of Algebra and Trigonometry |
From inside the book
Results 1-5 of 37
Page 7
... latter be said to win -a games ? What would be meant by stating that one of them won b - a games ? 6. If a denotes the number of days a man works , would -b denote a number of days when he was idle ? Or what would be meant by stating ...
... latter be said to win -a games ? What would be meant by stating that one of them won b - a games ? 6. If a denotes the number of days a man works , would -b denote a number of days when he was idle ? Or what would be meant by stating ...
Page 17
... latter . ✓ means the square root of the quantity to which it is prefixed , the cube root . 45. Examples of the power of brackets : 1. a− ( b − c ) + c − d = a − b + c + c ― d . 2. a + b― ( a2 - b2 + c2 ) — ( ab + bc - ac ) - = a + ...
... latter . ✓ means the square root of the quantity to which it is prefixed , the cube root . 45. Examples of the power of brackets : 1. a− ( b − c ) + c − d = a − b + c + c ― d . 2. a + b― ( a2 - b2 + c2 ) — ( ab + bc - ac ) - = a + ...
Page 20
... latter be accounted positive , the former is negative with respect to it , and the result comes from taking the difference of the coefficients , and attaching that difference as the coefficient of the letter . Thus , 5a - 2a = 3a , 4b ...
... latter be accounted positive , the former is negative with respect to it , and the result comes from taking the difference of the coefficients , and attaching that difference as the coefficient of the letter . Thus , 5a - 2a = 3a , 4b ...
Page 23
... latter product taken three times , 4ab , 4ab , 4ab , or makes 12ab . In this , and all examples of multiplication , the law of signs ( 22 ) has to be constantly remembered . Thus , 3a multiplied by -56 gives —15ab . 56. When a literal ...
... latter product taken three times , 4ab , 4ab , 4ab , or makes 12ab . In this , and all examples of multiplication , the law of signs ( 22 ) has to be constantly remembered . Thus , 3a multiplied by -56 gives —15ab . 56. When a literal ...
Page 24
... latter quantity is taken , and the results collected . It has been seen ( 39 ) that a product expressed as a ( b + c ) , means that a is separately multiplied with b and c , and the results . added . Hence a ( 5a + a2 ) , meaning that a ...
... latter quantity is taken , and the results collected . It has been seen ( 39 ) that a product expressed as a ( b + c ) , means that a is separately multiplied with b and c , and the results . added . Hence a ( 5a + a2 ) , meaning that a ...
Other editions - View all
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.