The Elements of Algebra and Trigonometry |
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Page 219
... be any angle formed by the straight lines AP , AQ meeting in A , in either of these lines take any point B , and from B draw BC perpendicular to the other line produced if necessary . The ratio of the length of Definitions . 219.
... be any angle formed by the straight lines AP , AQ meeting in A , in either of these lines take any point B , and from B draw BC perpendicular to the other line produced if necessary . The ratio of the length of Definitions . 219.
Page 222
... perpendicular to AQ and the ratio BC AB ' which is by definition the sine , becomes equal to unity , or sin 90 ° = 1 . If the angle PAQ shrinks down to zero , BC becomes zero while AB may remain finite . BC AB P P D B P B B C A C angle ...
... perpendicular to AQ and the ratio BC AB ' which is by definition the sine , becomes equal to unity , or sin 90 ° = 1 . If the angle PAQ shrinks down to zero , BC becomes zero while AB may remain finite . BC AB P P D B P B B C A C angle ...
Page 226
... perpendicular to AC or AC ' , and let AP meet one of these tangents in B. Then the P B B Р BC B tangent of the angle PAQ is AC A C Let AP move round gradually Qand form various angles from AQ . Since in all of them AC has the same ...
... perpendicular to AC or AC ' , and let AP meet one of these tangents in B. Then the P B B Р BC B tangent of the angle PAQ is AC A C Let AP move round gradually Qand form various angles from AQ . Since in all of them AC has the same ...
Page 246
... are given the area is known at once . If other two parts are given , either one of the acute and the hypotenuse , or one of the acute angles and a side , in either case the perpendicular sides become 246 Trigonometry .
... are given the area is known at once . If other two parts are given , either one of the acute and the hypotenuse , or one of the acute angles and a side , in either case the perpendicular sides become 246 Trigonometry .
Page 248
... perpendicular to BC , it will bisect this side BC at right angles . 1. When an angle is given , the other angles are also at once known , since the three angles of a triangle are two right angles . Then BC = 2BD = 2AB sin 4 = 2AB sin ...
... perpendicular to BC , it will bisect this side BC at right angles . 1. When an angle is given , the other angles are also at once known , since the three angles of a triangle are two right angles . Then BC = 2BD = 2AB sin 4 = 2AB sin ...
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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.