The Elements of Algebra and Trigonometry |
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Page 222
... radius AB , de- scribe a semicircle having AQ in its bounding diameter , and by drop- ping the perpendicular BC on this bounding diameter the sine of the Suppose AB to move round gradu- ally , and thus to form various angles from AQ ...
... radius AB , de- scribe a semicircle having AQ in its bounding diameter , and by drop- ping the perpendicular BC on this bounding diameter the sine of the Suppose AB to move round gradu- ally , and thus to form various angles from AQ ...
Page 226
... radius AC , describe a semicircle having AQ in its bounding dia- meter . At C and C ' , the ends of this diameter , draw tangents to the circle , perpendicular to AC or AC ' , and let AP meet one of these tangents in B. Then the P B B Р ...
... radius AC , describe a semicircle having AQ in its bounding dia- meter . At C and C ' , the ends of this diameter , draw tangents to the circle , perpendicular to AC or AC ' , and let AP meet one of these tangents in B. Then the P B B Р ...
Page 255
... radius CB the longer of the two sides which con- tain the angle C , describe a circle BFDE . Produce BA to meet the circle in D , and produce AC both ways to meet the circle in F and E. Join DC , BF . From F E C } FH draw EG ...
... radius CB the longer of the two sides which con- tain the angle C , describe a circle BFDE . Produce BA to meet the circle in D , and produce AC both ways to meet the circle in F and E. Join DC , BF . From F E C } FH draw EG ...
Page 292
... radius , the circle will cut the line ADE in two points B , B ' and these will mark the positions of the ship when it is at the distance of 9 miles from the lighthouse . We have now to find the distances AB and AB ' , and thence obtain ...
... radius , the circle will cut the line ADE in two points B , B ' and these will mark the positions of the ship when it is at the distance of 9 miles from the lighthouse . We have now to find the distances AB and AB ' , and thence obtain ...
Page 293
... radius 50 a circle be described it will cut ACD in two points C and D , and if the second train travels so as to be either at C or at D when the first train is at B , it will fulfil the condition of the distance of the two being then 50 ...
... radius 50 a circle be described it will cut ACD in two points C and D , and if the second train travels so as to be either at C or at D when the first train is at B , it will fulfil the condition of the distance of the two being then 50 ...
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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.