The Elements of Algebra and Trigonometry |
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Page 3
... direction along an unlimited straight line , -a can denote the same number of yards as the distance which he walks in the contrary direction . If a denotes a number of years that are past , -a may denote the same number of years yet to ...
... direction along an unlimited straight line , -a can denote the same number of yards as the distance which he walks in the contrary direction . If a denotes a number of years that are past , -a may denote the same number of years yet to ...
Page 5
... direction , a + b will represent the 58 miles of his journeying towards the east , and consistently -c - d can represent 54 miles of the journeying of some other man towards the west . Again , quantities of the same kind bearing ...
... direction , a + b will represent the 58 miles of his journeying towards the east , and consistently -c - d can represent 54 miles of the journeying of some other man towards the west . Again , quantities of the same kind bearing ...
Page 20
... direction , say to the east , -2a then means two such spaces travelled towards the west , and 3a is the three such spaces whereby , on the whole , the traveller advances to the east . So if b be some other space , and the westward ...
... direction , say to the east , -2a then means two such spaces travelled towards the west , and 3a is the three such spaces whereby , on the whole , the traveller advances to the east . So if b be some other space , and the westward ...
Page 104
... direction being uniform . How far may he go in order that the time between leaving and returning to the place from which he started may be 24 hours ? Let x miles be the distance to which he goes from the starting - place . It is ...
... direction being uniform . How far may he go in order that the time between leaving and returning to the place from which he started may be 24 hours ? Let x miles be the distance to which he goes from the starting - place . It is ...
Page 217
... direction , has its size expressed by a measurement derived from the right angle . Since all right angles are equal in size , the right angle thus furnishes a standard of reference whereby other angles may be compared . The ninetieth ...
... direction , has its size expressed by a measurement derived from the right angle . Since all right angles are equal in size , the right angle thus furnishes a standard of reference whereby other angles may be compared . The ninetieth ...
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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.