Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 sider |
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Resultat 1-5 av 27
Side 71
... ball of ash wood , whose specific gravity is that of water , the diameter of the ball being 10 inches , and the weight of a cubic foot of water being 1000 oz . XLV . 1. Prove that am - 1 is divisible by " -1 without re- mainder ; and ...
... ball of ash wood , whose specific gravity is that of water , the diameter of the ball being 10 inches , and the weight of a cubic foot of water being 1000 oz . XLV . 1. Prove that am - 1 is divisible by " -1 without re- mainder ; and ...
Side 150
... balls and 5 black balls , and 4 are taken out at random ; find the chance that 2 will be white and 2 black . Find also the chance of taking 2 white of balls at least . 7. Prove the formula- tan A + tan B tan A + B 1 - tan A. tan B ' A ...
... balls and 5 black balls , and 4 are taken out at random ; find the chance that 2 will be white and 2 black . Find also the chance of taking 2 white of balls at least . 7. Prove the formula- tan A + tan B tan A + B 1 - tan A. tan B ' A ...
Side 159
... balls in a side ; 2nd . When the base is a square having n balls in a side . Hence show that a square pile is equivalent to two triangular piles . 19. If the fraction x2 - 7x + 13 x2 - 7x + 12 be expanded in ascending powers of x , find ...
... balls in a side ; 2nd . When the base is a square having n balls in a side . Hence show that a square pile is equivalent to two triangular piles . 19. If the fraction x2 - 7x + 13 x2 - 7x + 12 be expanded in ascending powers of x , find ...
Side 294
... ball a impinges directly upon a ball в , in motion : show that the velocity of their centre of gravity is not affected by the impact . 8. Show that the time of a projectile's describing any arc of its path is the same as would be ...
... ball a impinges directly upon a ball в , in motion : show that the velocity of their centre of gravity is not affected by the impact . 8. Show that the time of a projectile's describing any arc of its path is the same as would be ...
Side 299
... balls in determin- ing their motions after impact . 9. A ball , 3m , strikes a ball m at rest , the modulus of elasticity being 6 ; compare the velocities of the striking ball before and after impact . 10. A particle being projected ...
... balls in determin- ing their motions after impact . 9. A ball , 3m , strikes a ball m at rest , the modulus of elasticity being 6 ; compare the velocities of the striking ball before and after impact . 10. A particle being projected ...
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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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.