Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 212
... uniform rate , a cer- tain distance on horseback in 10 hours , but when he is half way he increases his speed by 2 miles an hour , and thus arrives at his journey's end 14 hour before the time stipu lated . Required the distance he ...
... uniform rate , a cer- tain distance on horseback in 10 hours , but when he is half way he increases his speed by 2 miles an hour , and thus arrives at his journey's end 14 hour before the time stipu lated . Required the distance he ...
Σελίδα 295
... uniform bar , weighing 10 lbs . , and 5 ft . long : weights of 9 lbs . and 5 lbs . are suspended from its extremi- ties : on what point will it balance ? 4. A uniform beam A B , whose weight is w , rests with one end on a smooth ...
... uniform bar , weighing 10 lbs . , and 5 ft . long : weights of 9 lbs . and 5 lbs . are suspended from its extremi- ties : on what point will it balance ? 4. A uniform beam A B , whose weight is w , rests with one end on a smooth ...
Σελίδα 302
... uniform heavy string has its ends fixed ; determine the form of the string when in equilibrium . If the length of the string be 100 ft . , and the two fixed points be in the same horizontal plane and 90 ft . apart , compare approxi ...
... uniform heavy string has its ends fixed ; determine the form of the string when in equilibrium . If the length of the string be 100 ft . , and the two fixed points be in the same horizontal plane and 90 ft . apart , compare approxi ...
Σελίδα 303
... upon by a pressure towards the plane , the condition of its moving or remaining at rest depends upon the direction of the pressure , and not upon its magnitude . 4. A uniform beam , whose length is 26 and PAPERS . 303.
... upon by a pressure towards the plane , the condition of its moving or remaining at rest depends upon the direction of the pressure , and not upon its magnitude . 4. A uniform beam , whose length is 26 and PAPERS . 303.
Σελίδα 304
... uniform beam , whose length is 26 and weight w , rests upon a given rough cylinder , of radius r , in a vertical plane ; determine the weight w that must be suspended from one extremity of the beam so that it may just be on the point of ...
... uniform beam , whose length is 26 and weight w , rests upon a given rough cylinder , of radius r , in a vertical plane ; determine the weight w that must be suspended from one extremity of the beam so that it may just be on the point of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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.