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 xiii
... positions in which a triangle , if kept edge- wise in a fluid , would float in it ; nor in general would it be advantageous that those exertions which might be devoted fruitfully and agreeably to the theory of light , achromatism , and ...
... positions in which a triangle , if kept edge- wise in a fluid , would float in it ; nor in general would it be advantageous that those exertions which might be devoted fruitfully and agreeably to the theory of light , achromatism , and ...
Side 7
... position : state to what limita- tions it is subject ; and apply it to find such a number that when divided by 3 , 4 , and 5 , respectively , the sum of the quotients may be 94 . 32. Find a quantity , which when multiplied into a3 —b3 ...
... position : state to what limita- tions it is subject ; and apply it to find such a number that when divided by 3 , 4 , and 5 , respectively , the sum of the quotients may be 94 . 32. Find a quantity , which when multiplied into a3 —b3 ...
Side 63
... position . 13. What are the lines traced by the vertex and the focus 1827 of a parabola rolling on another equal to it , the vertices coin- ciding in one position ? 14. Explain the method of Geometrical Analysis , and by it solve the ...
... position . 13. What are the lines traced by the vertex and the focus 1827 of a parabola rolling on another equal to it , the vertices coin- ciding in one position ? 14. Explain the method of Geometrical Analysis , and by it solve the ...
Side 72
... position of the plane for each case . 43. Investigate the formulæ for the transformation of rect- angular ... positions of its prin- cipal axes . 46. In the ellipse , if the distances CP , 72 CONIC SECTIONS .
... position of the plane for each case . 43. Investigate the formulæ for the transformation of rect- angular ... positions of its prin- cipal axes . 46. In the ellipse , if the distances CP , 72 CONIC SECTIONS .
Side 73
... determine the position of the plane when the section is a parabola . 57. Determine in what cases the equation Ax2 + By2 + Сxy + Dx + Ey + F = 0 belongs to each conic section . 58. If S be the focus , and A the CONIC SECTIONS . 73.
... determine the position of the plane when the section is a parabola . 57. Determine in what cases the equation Ax2 + By2 + Сxy + Dx + Ey + F = 0 belongs to each conic section . 58. If S be the focus , and A the CONIC SECTIONS . 73.
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.