Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
Inni boken
Resultat 1-5 av 47
Side 103
... space is empty ? 51. Integrate + x2 - x2 ; xnx dx x 3 dx √ 1 + x = X = 52. Find the differential of the arc of any curve , and apply it to determine the length of the common parabola . 53. Explain the method of resolving any rational ...
... space is empty ? 51. Integrate + x2 - x2 ; xnx dx x 3 dx √ 1 + x = X = 52. Find the differential of the arc of any curve , and apply it to determine the length of the common parabola . 53. Explain the method of resolving any rational ...
Side 128
... space . 59. Define points of simple and double inflexion in a curve of double curvature , and shew how to determine them . 60. Find the equation to a surface which envelopes a series of surfaces described after a given law . 61. The ...
... space . 59. Define points of simple and double inflexion in a curve of double curvature , and shew how to determine them . 60. Find the equation to a surface which envelopes a series of surfaces described after a given law . 61. The ...
Side 129
... space which do not meet , find the equation to a plane which coincides with one of them and is parallel to the other . 66. A straight line CD is always perpendicular to a fixed straight line AB which is inclined at a given angle to the ...
... space which do not meet , find the equation to a plane which coincides with one of them and is parallel to the other . 66. A straight line CD is always perpendicular to a fixed straight line AB which is inclined at a given angle to the ...
Side 134
... space L. cosine of their mutual inclination . Prove this , and apply it in finding the equation of a sphere referred to oblique coordinates . 104. Determine the equation to the surface traced out by the circumference of a circle , whose ...
... space L. cosine of their mutual inclination . Prove this , and apply it in finding the equation of a sphere referred to oblique coordinates . 104. Determine the equation to the surface traced out by the circumference of a circle , whose ...
Side 161
... spaces described by P and Q , are to one another as a cos ( a + 0 ) : b cos ( 3-0 ) ; and thence deduce . the equation of virtual velocities . 128. If S and D represent respectively the semi - sum and semi - difference of the greatest ...
... spaces described by P and Q , are to one another as a cos ( a + 0 ) : b cos ( 3-0 ) ; and thence deduce . the equation of virtual velocities . 128. If S and D represent respectively the semi - sum and semi - difference of the greatest ...
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.