Mathematical Exercises ...1867 |
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Page 116
... position in the horizontal plane at a distance of 350 yards from the point where the balloon left the earth ; after a time he observes the angle of elevation of the balloon to be 55 ° 17 ' , and after an interval of three minutes he ...
... position in the horizontal plane at a distance of 350 yards from the point where the balloon left the earth ; after a time he observes the angle of elevation of the balloon to be 55 ° 17 ' , and after an interval of three minutes he ...
Page 123
... position of the ship . 10. Prove that sin 45 ° -sin 30 ° sin 45 ° + sin 30 ° sec 45 ° -tan 45 ° sec 45 ° + tan 45 ° ; and tan 2A + tan A = 2 sin 3A COS A + cos 3A • 11. The sides of a parallelogram , including an angle 60 ° , are 20 and ...
... position of the ship . 10. Prove that sin 45 ° -sin 30 ° sin 45 ° + sin 30 ° sec 45 ° -tan 45 ° sec 45 ° + tan 45 ° ; and tan 2A + tan A = 2 sin 3A COS A + cos 3A • 11. The sides of a parallelogram , including an angle 60 ° , are 20 and ...
Page 131
... Tantan + tantan + tan 2 2 tan = 1 . 2 13. If in the " ambiguous case " c , c ' be the two values of the third side , and the given angle be 45 ° , show that the angle between the two positions of the side opposite is PAPERS . 131.
... Tantan + tantan + tan 2 2 tan = 1 . 2 13. If in the " ambiguous case " c , c ' be the two values of the third side , and the given angle be 45 ° , show that the angle between the two positions of the side opposite is PAPERS . 131.
Page 132
Samuel H. Winter. angle between the two positions of the side opposite is , COS -1 2cc ' c2 + c'2 ° XCIV . 1. If the rent of a farm of 17 ac . 3 ro . 12 po . be £ 39 4s . 7d . , what would be the ... position of 132 MISCELLANEOUS PAPERS .
Samuel H. Winter. angle between the two positions of the side opposite is , COS -1 2cc ' c2 + c'2 ° XCIV . 1. If the rent of a farm of 17 ac . 3 ro . 12 po . be £ 39 4s . 7d . , what would be the ... position of 132 MISCELLANEOUS PAPERS .
Page 133
Samuel H. Winter. 10. Show how to determine the height and position of an elevated object when a base can be measured which is not horizontal . 11. The sides of a quadrilateral are 10 , 7 , 8 , 9 , and the angle between the second and ...
Samuel H. Winter. 10. Show how to determine the height and position of an elevated object when a base can be measured which is not horizontal . 11. The sides of a quadrilateral are 10 , 7 , 8 , 9 , and the angle between the second and ...
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acres angle axis ball base binomial theorem bisected body CALC cent centre of gravity circle coefficient of friction compound interest cube cubic curve determine diameter Divide dwts ellipse equal equilibrium Express Extract the square feet Find the area Find the centre Find the distance Find the equation find the height Find the number Find the value fluid forces acting given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms Multiply parabola parallel particle perpendicular plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² sine smooth Solve the equations square root straight line string surface tangent tons tower TRIG velocity vertex vertical vulgar fractions weight yards
Popular passages
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Page 113 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
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Page 229 - Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I.
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Page 295 - Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about a point in the space between their directions is the same as the moment of their resultant.
Page 169 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.