Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Σελίδα 168
... string 67 feet long is cut up into lengths of 64 inches each . How many of these lengths are formed , and how many inches of string remain over ? 5. Multiply £ 2 7s . 4 d . by 14.6 . 6. After an income tax of threepence in the pound has ...
... string 67 feet long is cut up into lengths of 64 inches each . How many of these lengths are formed , and how many inches of string remain over ? 5. Multiply £ 2 7s . 4 d . by 14.6 . 6. After an income tax of threepence in the pound has ...
Σελίδα 291
... string = weight of bell - gp Ax where Aarea of top of bell , a length occupied by air , is found from the equation hb ( h + a ) x + x2 , b = length of bell , a depth of its top . ( Besant . ) FORMULÆ IN PRACTICAL MECHANICS . Unit of ...
... string = weight of bell - gp Ax where Aarea of top of bell , a length occupied by air , is found from the equation hb ( h + a ) x + x2 , b = length of bell , a depth of its top . ( Besant . ) FORMULÆ IN PRACTICAL MECHANICS . Unit of ...
Σελίδα 293
... string , which being parallel to the plane , and passing over a pulley , has another heavy body hanging vertically at the end of it ; find the accelerating force . If the plane be inclined at an angle of 30 ° , and the accelerating ...
... string , which being parallel to the plane , and passing over a pulley , has another heavy body hanging vertically at the end of it ; find the accelerating force . If the plane be inclined at an angle of 30 ° , and the accelerating ...
Σελίδα 295
... string CA = CB which keeps the beam from slipping . 5. Two planes of equal altitude are inclined at angles of 60 ° and 45 ° to the horizon ; required what weight resting on the latter will balance 20 lbs . on the former , the weights ...
... string CA = CB which keeps the beam from slipping . 5. Two planes of equal altitude are inclined at angles of 60 ° and 45 ° to the horizon ; required what weight resting on the latter will balance 20 lbs . on the former , the weights ...
Σελίδα 301
... string when there is equilibrium . The length of the portion AC BA of the string being 12 ft . 5. Two forces act at a right angle , their resultant is double the less ; what is the ratio of the forces ? 6. ABC is a right - angled ...
... string when there is equilibrium . The length of the portion AC BA of the string being 12 ft . 5. Two forces act at a right angle , their resultant is double the less ; what is the ratio of the forces ? 6. ABC is a right - angled ...
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Arithmetic axis ball base bisected body cent centre of gravity circle coefficient of friction compound interest cone cost crown 8vo cube cubic foot curve Define determine diameter Divide dwts ellipse English equal equilibrium expression feet Find the area Find the centre Find the distance Find the equation Find the number Find the sum Find the value fluid forces acting fraction geometrical Grammar horizontal plane hyperbola inches inclined plane inscribed Integrate isosceles latus rectum least common multiple length logarithms miles Multiply parabola parallel particle perpendicular pressure Prove pulleys radius ratio rectangle rectangular Reduce right angles sides simple interest sin² sine spherical triangle square root straight line string subtended Subtract surface tangent theorem tons tower triangle ABC velocity vertical vulgar fraction weight yards
Δημοφιλή αποσπάσματα
Σελίδα 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 10 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Σελίδα 184 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Σελίδα 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Σελίδα 184 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.
Σελίδα 154 - If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.