The Messenger of Mathematics, Τόμος 4Macmillan and Company, 1868 |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ acceleration algebraical anapole angular points anharmonic asymptotic axes axis B₁ B₂ C₁ centre of gravity chord circular points circumscribing coefficients coincide complete cycle confocal conic section constant coordinates cos² curvature curve denote determinant ellipse ellipsoid envelope equal equation escribed circles expression f+gh finite fraction function g+hf geometrical given h+fg Hence hyperbola hyperbolic paraboloid hyperboloid infinity initial inscribed integral latus rectum limit locus m₁ meet moment of inertia motion multiplying nine-point circle obtained P₁ parabola parallel permutations perpendicular plane point of contact position proof proposition ratios respectively right angle sides Similarly straight line joining surface THEOREM LXV touch triangle ABC TRILINEAR CO-ORDINATES trilinear coordinates vanish vertex vertical zero
Δημοφιλή αποσπάσματα
Σελίδα 99 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 79 - I0 the Moment of Inertia about an axis through the centre of gravity, and...
Σελίδα 6 - An elliptic lamina is supported, with its plane vertical and transverse axis horizontal, by two weightless pins passing through its foci. If one of the pins be released, determine the eccentricity of the ellipse in order that the pressure on the other may be initially unaltered.
Σελίδα 79 - Ix + my + nz=}) (3), of the ellipsoid (2) ; that is, if we draw a plane perpendicular to the given axis to touch the ellipsoid (2), then p is the central perpendicular on this plane. It is also known + that the moment of inertia about any * [From The Oxford, Cambridge and Dublin Messenger of Mathematics, Vol.
Σελίδα 196 - The number of ways in which n different things can be arranged in r indifferent groups (blank lots being inadmissible] is [n.
Σελίδα 232 - And consequently : if we take any two finite straight lines not in the same plane, and divide each into the same number of equal parts...
Σελίδα 20 - T be the point of concourse of the common tangents of an ellipse and its circle of curvature at P...
Σελίδα 50 - CF are the perpendiculars from the angles of a triangle on the opposite sides...
Σελίδα 245 - O, and в the angle which the tangent at P makes with the axis of x...
Σελίδα 195 - In general, the equation above gives the number of ways in which N things can be arranged in groups, the numbers Ni, N2, etc., representing the number in each group. In the Maxwell-Boltzmann statistics the "things" to be arranged are the phase points, the number of "groups" equals the number of cells in phase space, and the number of ways of arranging the "things...