Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 páginas |
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Página 43
... rest per head so as to be free from loss on the whole ? 12. Five hundred boys are distributed in 3 houses ; the smallest house contains of the whole number , and the largest contains 12 of the smallest : what is the number in each ? 13 ...
... rest per head so as to be free from loss on the whole ? 12. Five hundred boys are distributed in 3 houses ; the smallest house contains of the whole number , and the largest contains 12 of the smallest : what is the number in each ? 13 ...
Página 44
... rest to gain 38s . by the bargain ? 6. What quantity of silver may be bought for £ 72 , if the cost of 14 lbs . 6 oz . 15 dwts . be £ 45 ? 7. Find the cost of 2 qrs . 24 lbs . at the rate of 20 guas . a ton . 8. If the carriage of 6 cwt ...
... rest to gain 38s . by the bargain ? 6. What quantity of silver may be bought for £ 72 , if the cost of 14 lbs . 6 oz . 15 dwts . be £ 45 ? 7. Find the cost of 2 qrs . 24 lbs . at the rate of 20 guas . a ton . 8. If the carriage of 6 cwt ...
Página 108
... rest all different . A boat's crew , consisting of eight men and a cox- swain , is to be selected from 15 men , of whom 11 can row and cannot steer , and the rest can steer but cannot row ; in how many ways can this be done , and in how ...
... rest all different . A boat's crew , consisting of eight men and a cox- swain , is to be selected from 15 men , of whom 11 can row and cannot steer , and the rest can steer but cannot row ; in how many ways can this be done , and in how ...
Página 215
... rest for £ 36 , thus gaining 8s . on each . How many articles were there ? 36. A contractor begins a work with 21 bricklayers and 8 carpenters , and their weekly wages are £ 25 1s . As the work proceeds he takes off 6 bricklayers and ...
... rest for £ 36 , thus gaining 8s . on each . How many articles were there ? 36. A contractor begins a work with 21 bricklayers and 8 carpenters , and their weekly wages are £ 25 1s . As the work proceeds he takes off 6 bricklayers and ...
Página 249
... rests is 45 ° from the same point . What proportion does the height of the steeple bear to that of the tower ? 2. The angle of elevation of the top of a steeple is 45 ° from a point in the same horizontal plane as its base , and is 30 ...
... rests is 45 ° from the same point . What proportion does the height of the steeple bear to that of the tower ? 2. The angle of elevation of the top of a steeple is 45 ° from a point in the same horizontal plane as its base , and is 30 ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.