Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 53.
Σελίδα 63
... parabola made by an ordinate perpendicular to the axis . 11. Given the hypothenuse of a right - angled triangle and 1825 the side of an inscribed square . Required the two sides of the triangle . 12. Determine the locus of a point so ...
... parabola made by an ordinate perpendicular to the axis . 11. Given the hypothenuse of a right - angled triangle and 1825 the side of an inscribed square . Required the two sides of the triangle . 12. Determine the locus of a point so ...
Σελίδα 64
... 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 from the asymptotes to ...
... 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 from the asymptotes to ...
Σελίδα 65
... parabola , are so inclined to the axis of x that the sum of the cotangents of the angles which they make with that axis is constant ; prove that the locus of their intersections is a straight line parallel to the axis . 30. Find the ...
... parabola , are so inclined to the axis of x that the sum of the cotangents of the angles which they make with that axis is constant ; prove that the locus of their intersections is a straight line parallel to the axis . 30. Find the ...
Σελίδα 68
... parabola drawn from the same point of the directrix , are at right angles to each other . 4. PSP is any parameter of a parabola whose focus is S and latus rectum L , prove that 4SP . Sp = L ( SP + Sp ) . 5. The ordinate to the axis of ...
... parabola drawn from the same point of the directrix , are at right angles to each other . 4. PSP is any parameter of a parabola whose focus is S and latus rectum L , prove that 4SP . Sp = L ( SP + Sp ) . 5. The ordinate to the axis of ...
Σελίδα 69
... parabola a straight line is drawn inclined at 45 ° to the tangent at any point ; find the equation to the curve which is the locus of their intersections . 16. In a parabola , in the focal distance SP , Sp is taken 1825 equal to the ...
... parabola a straight line is drawn inclined at 45 ° to the tangent at any point ; find the equation to the curve which is the locus of their intersections . 16. In a parabola , in the focal distance SP , Sp is taken 1825 equal to the ...
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.