## The Cambridge Mathematical Journal, Volume 4E. Johnson, 1845 - Mathematics |

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analogous angles apply arbitrary constants assume asymptotes asymptotic curves axes becomes centre of gravity co-ordinates coefficients coeﬁicients condition conic section Consequently considered corresponding curve deduced deﬁnite integrals degree denote determine differential equations dimensions eccentric anomalies ellipsoid equal exact differential expression ﬁg ﬁnd ﬁnding ﬁrst ﬁxed ﬂuid force formula given Hence homogeneous function hyperbola indeﬁnitely inﬁnite initial distribution intersect isothermal limits linear lines of curvature magic square magnet Mathematical Journal method molecules moment of inertia motion Multiplying negative obtained orthogonal paper parallel partial differential partial differential equations particle perpendicular plane positive principal problem quantities relations represent respectively result roots rotation satisﬁed second order shew solution spontaneous axis substituting suppose surfaces of revolution symbol system of equations tangent theorem theory tion transformation Trinity College values vanish variables velocity whence zero