# Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 Inclusive

W.P. Grant, 1836 - 335 σελίδες
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### Περιεχόμενα

 1 1 Euclid 3 Arithmetic and Algebra not including the general nature of Equations 5 Nature of Algebraic Equations 30 Plane Trigonometry 40 Spherical Trigonometry 56 Analytical Geometry 62 Conic Sections 68
 Analytical Geometry of three dimensions 122 Finite Differences and Series 135 122 160 135 162 Calculus of Variations 145 147 163 166 184 204 189 232 192

 40 72 56 73 62 74 Differential Calculus 79 109 89 Integral Calculus 98 Differential Equations 109
 Plane Astronomy 204 Central Forces and Physical Astronomy 232 Hydrostatics and the Theory of Sound 264 Optics and the Theory of Light 285 Attractions Tides Figure of the Earth 310 Miscellaneous Questions 264 321

### 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.