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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Side 68
... rest ellipses . 2. S being the focus of an hyperbola , and ( pm ) the per- pendicular upon its directrix from a point ( p ) in the opposite hyperbola , Sp : pm :: SC : AC , a given ratio . 3. Two tangents to a parabola drawn from the ...
... rest ellipses . 2. S being the focus of an hyperbola , and ( pm ) the per- pendicular upon its directrix from a point ( p ) in the opposite hyperbola , Sp : pm :: SC : AC , a given ratio . 3. Two tangents to a parabola drawn from the ...
Side 149
... rest , and the pressures on the two planes . 19. On a lever of uniform density , every inch weighing w oz . a weight ... rests with one end on the ground against a 1824 wall , and the other attached to a string fixed in the wall , find ...
... rest , and the pressures on the two planes . 19. On a lever of uniform density , every inch weighing w oz . a weight ... rests with one end on the ground against a 1824 wall , and the other attached to a string fixed in the wall , find ...
Side 150
... rest . 28. If any number of forces p , q , r .... in different planes , acting on a point , make the angles a , ß , y .... with the result- ant , then will p cos a + q cos B + r cos y + • be a maximum . 29. Find the position of the ...
... rest . 28. If any number of forces p , q , r .... in different planes , acting on a point , make the angles a , ß , y .... with the result- ant , then will p cos a + q cos B + r cos y + • be a maximum . 29. Find the position of the ...
Side 152
... rest by three forces acting upon it at the same time , any three lines which are in the direction of those forces ... rests with its lower end on a horizontal plane , and its upper end on a slope inclined 60 ° to the horizon : the ladder ...
... rest by three forces acting upon it at the same time , any three lines which are in the direction of those forces ... rests with its lower end on a horizontal plane , and its upper end on a slope inclined 60 ° to the horizon : the ladder ...
Side 154
... rests with one of its extremities in a semi - circle whose axis is vertical , find the nature of the line supporting ... rest on a horizontal plane on any point of the spherical surface if the altitude of the paraboloid the radius of 154 ...
... rests with one of its extremities in a semi - circle whose axis is vertical , find the nature of the line supporting ... rest on a horizontal plane on any point of the spherical surface if the altitude of the paraboloid the radius of 154 ...
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.