Mathematical Exercises ...1864 |
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acres angle arithmetical axis ball base binomial theorem bisecting body CALC cent centre of gravity circle coefficient of friction cost cube cubic foot curve cwts cylinder determine diameter Divide drawn ellipse equal equilibrium Express Extract the square feet find the centre Find the distance Find the equation Find the number Find the value fluid forces acting formula geometrical given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms miles an hour Multiply parabola parallel perpendicular places of decimals plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² Solve the equations square root straight line string Sum the series surface tangent theorem tons tower TRIG velocity vertex vertical vulgar fractions weight yards
Beliebte Passagen
Seite 285 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Seite 128 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel, in going 120 yards ; but if the circumference of each wheel be increased...
Seite 90 - A number is divisible by 9 if the sum of its digits is divisible by 9.
Seite 171 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.
Seite 38 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Seite 48 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Seite 264 - A uniform ladder, 10 feet long, rests with one end against a smooth vertical wall and the other on the ground, the coefficient of friction between the ladder and the ground being J.
Seite 156 - In any triangle the sum of the squares on the sides is equal to twice the square on half the base together with twice the square on the straight line drawn from the vertex to the middle point of the base.
Seite 150 - ... a gallon he gained 15 per cent. on the price of the wine, and 20 per cent. on the price of the brandy : in what ratio were the wine and brandy mixed together?
Seite 255 - If he sell to each of two customers a pound of tea at 2s. 9<7. per pound, putting his weights into different scales for each transaction, find whether he gains or loses owing to the incorrectness of his balance, and how much. 6. Find the ratio of the power to the weight in a system of pulleys, each pulley being suspended by a separate vertical string, which has one end fixed to a beam above. [The weight of the pulleys may be neglected.] 7. Describe the Wheel-and-axle. If the string from the axle...