Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 σελίδες |
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Σελίδα 195
... incident , but at the opposite side of the axis . 259. Determine the time in which a cylindrical body rolls down a given inclined plane . 260. A body moves on any curved surface acted on by any forces ; to find the pressure . 261 ...
... incident , but at the opposite side of the axis . 259. Determine the time in which a cylindrical body rolls down a given inclined plane . 260. A body moves on any curved surface acted on by any forces ; to find the pressure . 261 ...
Σελίδα 285
... incident in the opposite direction , forms the arcs of two opposite hyperbolas ; and find the semi - axes . 8. A person wishes to see distinctly when under water . What kind of glasses must he use , and of what focal length ? 1822 1823 ...
... incident in the opposite direction , forms the arcs of two opposite hyperbolas ; and find the semi - axes . 8. A person wishes to see distinctly when under water . What kind of glasses must he use , and of what focal length ? 1822 1823 ...
Σελίδα 286
... incident in a direction parallel to the axis , and after two reflections at the curve meets the ordinate again ; prove that the length of the path described will be the same from whatever point in the ordinate the ray proceeds . 11. A ...
... incident in a direction parallel to the axis , and after two reflections at the curve meets the ordinate again ; prove that the length of the path described will be the same from whatever point in the ordinate the ray proceeds . 11. A ...
Σελίδα 287
... incident upon the third , and reflected successively by each of them ; it is re- quired to shew that the angle between the first incident and last reflected rays is equal to twice the angle of incidence upon the first surface . 23 ...
... incident upon the third , and reflected successively by each of them ; it is re- quired to shew that the angle between the first incident and last reflected rays is equal to twice the angle of incidence upon the first surface . 23 ...
Σελίδα 289
... incident nearly perpendicularly on an elliptic reflector . 39. State what advantage is obtained by substituting a glass rectangular prism for a plane reflector , in the construction of Newton's telescope ; and trace the course of a ...
... incident nearly perpendicularly on an elliptic reflector . 39. State what advantage is obtained by substituting a glass rectangular prism for a plane reflector , in the construction of Newton's telescope ; and trace the course of a ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 255 - If a body be projected from a given point in a given direction with a given velocity...
Σελίδα 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Σελίδα 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.
Σελίδα 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.
Σελίδα 314 - ... varies inversely as the square of the distance of the particle from the centre.