The Elements of Algebra and Trigonometry |
From inside the book
Results 1-5 of 36
Page 174
... right - angled tri- angle is 10 yards , and of the other sides one is two yards longer than the other . Find the lengths of these sides . Ans . They are 6 and 8 yards long ( Euclid , I. 47 ) . 8. Two lengths of cloth are bought for 47 ...
... right - angled tri- angle is 10 yards , and of the other sides one is two yards longer than the other . Find the lengths of these sides . Ans . They are 6 and 8 yards long ( Euclid , I. 47 ) . 8. Two lengths of cloth are bought for 47 ...
Page 217
... straight lines to one another which meet but are not in the same 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 ...
... straight lines to one another which meet but are not in the same 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 ...
Page 218
... angles by a decimal division . A right angle being made , as with us , the starting - point , the hundredth part of it is called a grade , and this unit of angular measure is divided into tenths , hundredths , & c . The superior con ...
... angles by a decimal division . A right angle being made , as with us , the starting - point , the hundredth part of it is called a grade , and this unit of angular measure is divided into tenths , hundredths , & c . The superior con ...
Page 219
... angle is the result when the angle is subtracted from 90 ° . In other words , an angle and its complement added together make 90 ° , or a right angle . Thus 23 ° 18 ′ 56 " is the complement of 66 ° 41 ' 4 " , and 66 ° 41 ′ 4 ′′ is the ...
... angle is the result when the angle is subtracted from 90 ° . In other words , an angle and its complement added together make 90 ° , or a right angle . Thus 23 ° 18 ′ 56 " is the complement of 66 ° 41 ' 4 " , and 66 ° 41 ′ 4 ′′ is the ...
Page 222
... angle BAC is equal to the angle DAE , PAQ and DAQ are together equal to two right angles . 12. When angles are considered to extend beyond two right angles , it will be found that the same sine belongs to a wider range of angles than ...
... angle BAC is equal to the angle DAE , PAQ and DAQ are together equal to two right angles . 12. When angles are considered to extend beyond two right angles , it will be found that the same sine belongs to a wider range of angles than ...
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.