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 3
... distance between the points where they touch either one of the sides is equal to the base . 29. The opposite side and angles of parallelograms are 1835 equal to one another , and the diameter bisects them . If both the diameters be ...
... distance between the points where they touch either one of the sides is equal to the base . 29. The opposite side and angles of parallelograms are 1835 equal to one another , and the diameter bisects them . If both the diameters be ...
Σελίδα 26
... distance from each other ; find where they will be together , and explain the result when it is negative . 225. Find , with the help of the tables , what must be the annual payment for the whole life of an individual to begin ...
... distance from each other ; find where they will be together , and explain the result when it is negative . 225. Find , with the help of the tables , what must be the annual payment for the whole life of an individual to begin ...
Σελίδα 48
... distance between two inaccessible objects , by observations made at two stations , the distance between which is known . + = 86. Solve the cubic x3 + qxr0 by trigonometrical formulæ , in the case in which the three roots are possible ...
... distance between two inaccessible objects , by observations made at two stations , the distance between which is known . + = 86. Solve the cubic x3 + qxr0 by trigonometrical formulæ , in the case in which the three roots are possible ...
Σελίδα 66
... distance of a point from the straight line . 1833 39. Find the equation to a straight line which passes through a given point and cuts the axis of x at an angle of 135 ° . 1834 1836 40. Every curve of an odd degree either in x or y has ...
... distance of a point from the straight line . 1833 39. Find the equation to a straight line which passes through a given point and cuts the axis of x at an angle of 135 ° . 1834 1836 40. Every curve of an odd degree either in x or y has ...
Σελίδα 69
... distance from the vertex . 13. Describe the conic section whose equation is y2 - 2xy + x28x + 160 . 14. If PSP be any line drawn through the focus S of a conic section , meeting the curve in the points P and p , and SL be the semi ...
... distance from the vertex . 13. Describe the conic section whose equation is y2 - 2xy + x28x + 160 . 14. If PSP be any line drawn through the focus S of a conic section , meeting the curve in the points P and p , and SL be the semi ...
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.