Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
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Resultat 1-5 av 23
Side 89
... solid generated by the revolution of the area ASP about AS , SP r , and the angle ASP = 0 , = du 2 shew that = Tr3 . sin 0 . do 3 - 108. Trace the curve of which amy = x ( x a ) m is the equation , m being an even number ; find its ...
... solid generated by the revolution of the area ASP about AS , SP r , and the angle ASP = 0 , = du 2 shew that = Tr3 . sin 0 . do 3 - 108. Trace the curve of which amy = x ( x a ) m is the equation , m being an even number ; find its ...
Side 91
... solid generated by the revolution of the arc PQ about the axis of x , is equal to du 2h { u + h + d2u h2 + • • } dx dx2 ' 1.2 ds where u = y dx 124. If p and p ' be the radii of curvature evolute at corresponding points , prove that Ρ ...
... solid generated by the revolution of the arc PQ about the axis of x , is equal to du 2h { u + h + d2u h2 + • • } dx dx2 ' 1.2 ds where u = y dx 124. If p and p ' be the radii of curvature evolute at corresponding points , prove that Ρ ...
Side 100
... solid generated by the revolution of the circular segment DE , about either radius is equal to twice the sphere whose diameter is √2 sin DE . 27. Integrate dx dx and a2d2y = xdx dy + nydx2 . 2n + 1 x ) ( 1 − 2x ) ( x ' — a ) x ( 1 - x ) ...
... solid generated by the revolution of the circular segment DE , about either radius is equal to twice the sphere whose diameter is √2 sin DE . 27. Integrate dx dx and a2d2y = xdx dy + nydx2 . 2n + 1 x ) ( 1 − 2x ) ( x ' — a ) x ( 1 - x ) ...
Side 102
... solid generated by its revolution round the axis . 41. Integrate sin 0 cos 0 vers 0d0 . 42. Trace the curve whose equation is xay1 — a1y1 + b8 = 43. Integrate the following differentials : dx √ a2 + x2 XC O , and find its area . ( sin ...
... solid generated by its revolution round the axis . 41. Integrate sin 0 cos 0 vers 0d0 . 42. Trace the curve whose equation is xay1 — a1y1 + b8 = 43. Integrate the following differentials : dx √ a2 + x2 XC O , and find its area . ( sin ...
Side 103
... solid of revolution . Also , apply this to prove that the sphere is of the circumscribing cylinder . 1829 1830 dx 59. Integrate and shew that between the limits INTEGRAL CALCULUS . 103.
... solid of revolution . Also , apply this to prove that the sphere is of the circumscribing cylinder . 1829 1830 dx 59. Integrate and shew that between the limits INTEGRAL CALCULUS . 103.
Vanlige uttrykk og setninger
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
Populære avsnitt
Side 3 - ... 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 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Side 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Side 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 255 - If a body be projected from a given point in a given direction with a given velocity...
Side 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Side 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Side 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Side 314 - ... varies inversely as the square of the distance of the particle from the centre.