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 67
Side 64
... ellipse , hyperbola and parabola ; and find the coordinates of the centre in the former case . 25. If a curve have as many asymptotes as it has dimensions , and a right line be drawn which cuts them all , the parts of the line measured ...
... ellipse , hyperbola and parabola ; and find the coordinates of the centre in the former case . 25. If a curve have as many asymptotes as it has dimensions , and a right line be drawn which cuts them all , the parts of the line measured ...
Side 68
... ellipse is produced till it equals the corresponding subtangent : find the equation to the curve thus traced out , and its area . 6. Putting A and B for the sectors CAP , CAp of a rect- angular hyperbola , whose semi - axis CA = 1 , and ...
... ellipse is produced till it equals the corresponding subtangent : find the equation to the curve thus traced out , and its area . 6. Putting A and B for the sectors CAP , CAp of a rect- angular hyperbola , whose semi - axis CA = 1 , and ...
Side 69
... ellipse : prove that the products of the alternate segments of the sides , made by the points of contact , are equal ... ellipse coincides with the vertex of a common parabola , and the axis major of the ellipse is perpendicular to the ...
... ellipse : prove that the products of the alternate segments of the sides , made by the points of contact , are equal ... ellipse coincides with the vertex of a common parabola , and the axis major of the ellipse is perpendicular to the ...
Side 70
... ellipse from the centre , and the angle which it makes with the major axis ; it is required to express r in a series of the form A ̧ + A , cos 0 + A2 cos 20 + 2 2 and to shew particularly how A。, A1 , and A , may be deter- mined . 22 ...
... ellipse from the centre , and the angle which it makes with the major axis ; it is required to express r in a series of the form A ̧ + A , cos 0 + A2 cos 20 + 2 2 and to shew particularly how A。, A1 , and A , may be deter- mined . 22 ...
Side 71
... ellipse all the circumscribing parallelograms are equal . 31. If a right cone of which the semi - angle is y be cut by a plane making an angle & with its axis , the ellipse thus obtained will have its - minor - axis : major - axis ...
... ellipse all the circumscribing parallelograms are equal . 31. If a right cone of which the semi - angle is y be cut by a plane making an angle & with its axis , the ellipse thus obtained will have its - minor - axis : major - axis ...
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.