A collection of problems and examples adapted to the 'Elementary course of mathematics'.J. & J.J. Deighton, 1847 - 80 sider |
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Side 67
... uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms , and find the angle between ...
... uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms , and find the angle between ...
Side 68
... uniform thickness , the length and weight of which are given , has two weights P and Q attached to its extremities , and is sustained partly by a fulcrum at a given point , and partly by another fulcrum , on which it presses with a ...
... uniform thickness , the length and weight of which are given , has two weights P and Q attached to its extremities , and is sustained partly by a fulcrum at a given point , and partly by another fulcrum , on which it presses with a ...
Side 69
... uniform beam 18 feet long , rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from the fulcrum and one of 110 lbs . at the other . Find the weight of the beam . 17. A beam 30 feet ...
... uniform beam 18 feet long , rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from the fulcrum and one of 110 lbs . at the other . Find the weight of the beam . 17. A beam 30 feet ...
Side 72
... uniform bent lever ; deter- mine the distance of the centre of gravity from C , in terms of the lengths of the arms and the angle ACB . 9 . If G be the centre of the triangle ABC , then } { ( GA2 + GB2 + GC2 ) = AB2 + AC2 + BC2 . 10. If ...
... uniform bent lever ; deter- mine the distance of the centre of gravity from C , in terms of the lengths of the arms and the angle ACB . 9 . If G be the centre of the triangle ABC , then } { ( GA2 + GB2 + GC2 ) = AB2 + AC2 + BC2 . 10. If ...
Side 73
... uniform beam AB , of given weight , is moveable in a vertical plane round a hinge at A , and is kept in a given position by a weight P , acting by means of a string attached to the beam at B , and passing over a pully at C , a point in ...
... uniform beam AB , of given weight , is moveable in a vertical plane round a hinge at A , and is kept in a given position by a weight P , acting by means of a string attached to the beam at B , and passing over a pully at C , a point in ...
Vanlige uttrykk og setninger
a²b a³b ab² ab³ angle of incidence angular arithmetical mean arithmetical series axis base beam body is projected centre of gravity circle coefficient concave convex lens cos² cosec cube cylinder distance Divide double convex lens elastic ball equal equation feet find the angle find the focal find the height Find the number find the value focal length focus force fulcrum geometrical progression given point given weight harmonical mean horizontal plane inches inclined plane inscribed latus rectum luminous point miles mirror Multiply observed parallel perpendicular placed polygon prism Prove pully quantities radii radius ratio ray of light rays diverging reflexion refracted regular polygon respectively right angle shew sin² specific gravity sphere spherical reflector square string passing subtends Subtract tower vertical plane
Populære avsnitt
Side 23 - A man travelled 105 miles, and then found that if he had not travelled so fast by 2 miles an hour, he should have been 6 hours longer in performing the journey.
Side 22 - B, can perform a piece of work together in 16 days. They work together for 4 days, when A being called off, B is left to finish it, which he does in 36 days more. In what time would each do it separately ? Ans. A in 24 days, B in 48 days.
Side 22 - There is a cistern, into which water is admitted by three cocks, two of which are of exactly the same dimensions. When they are all open, five-twelfths of the cistern is filled in four hours; and if one of the equal cocks be stopped, seven-ninths of the cistern is filled in ten hours and forty minutes.
Side 52 - A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55° with a line drawn from his eye parallel to the horizon ; receding backwards 30 feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river. log. sin 7° = 9.08589 log.
Side 32 - At a game of cards, 3 being dealt to each person, any one can have 425 times as many hands as there are cards in the pack. How many cards are there 1 12.
Side 89 - A descends alone ; the pressure of the atmosphere is equal to that of a column of water...
Side 21 - Fifteen guineas should weigh four ounces ; but a parcel of light gold having been weighed and counted, was found to contain 9 more guineas than was supposed from the weight ; and a part of the whole, exceeding the half by four guineas and a half, was found to be 1-^ oz.
Side 31 - If the first has to the second the same ratio which the third has to the fourth...
Side 24 - For every yard of the better sort he gave as many shillings as he had yards in all ; and for every yard of the worse as many shillings as there were yards of the better sort more than of the worse. And the whole price of the better sort was to the whole price of the worse as 72 to 7. How many yards had he of each ? Ans.
Side 94 - There are three plane reflectors, two of which are at right angles to each other, and a ray of light is incident upon the third, and reflected successively by each of them...