The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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... VI . Prop . 7. By J. F. Wolff , Jun . Theorem on the Action of an Electric Current in a Helix wound 76 • on a Cylinder of any Form upon the Pole of a Magnet . By Percival Frost 77 On the Evolutes of Cubic Curves . By Henry M.
... VI . Prop . 7. By J. F. Wolff , Jun . Theorem on the Action of an Electric Current in a Helix wound 76 • on a Cylinder of any Form upon the Pole of a Magnet . By Percival Frost 77 On the Evolutes of Cubic Curves . By Henry M.
Page
... VI . Prop . 7. By J. F. Wolff , Jun . Theorem on the Action of an Electric Current in a Helix wound on a Cylinder of any Form upon the Pole of a Magnet . By Percival Frost 89 76 77 On the Evolutes of Cubic Curves . By Henry M.
... VI . Prop . 7. By J. F. Wolff , Jun . Theorem on the Action of an Electric Current in a Helix wound on a Cylinder of any Form upon the Pole of a Magnet . By Percival Frost 89 76 77 On the Evolutes of Cubic Curves . By Henry M.
Page 38
... action of a force directed to a centre which is coincident with the centre of curvature at an apse ; and observe that , when it reaches the apse , the force , mF , is normal , and therefore v2 = Fp . The velocity at the apse is ...
... action of a force directed to a centre which is coincident with the centre of curvature at an apse ; and observe that , when it reaches the apse , the force , mF , is normal , and therefore v2 = Fp . The velocity at the apse is ...
Page 39
... action of an attractive central force , which is an assigned function of the distance , unless the centre of force lie in one of the normals dividing the curve symmetrically , and between the curve , and the corresponding vertex of the ...
... action of an attractive central force , which is an assigned function of the distance , unless the centre of force lie in one of the normals dividing the curve symmetrically , and between the curve , and the corresponding vertex of the ...
Page 47
... action of elements of two electric currents upon one another , so as to make the paper as complete as I can without describing fully the ex- periments by which the law of the mutual action can be established , which experiments may be ...
... action of elements of two electric currents upon one another , so as to make the paper as complete as I can without describing fully the ex- periments by which the law of the mutual action can be established , which experiments may be ...
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Common terms and phrases
a+b+c action af-g angle angular velocities axes body Cayley centre circle coefficient columns common tangent concyclic cone confocal conic conicoids conjugate coordinates corresponding cubic curvature cusps denote differential dt dt elements ellipsoid envelope equal equation Euler's equations evectant evolute expression fixed point formulæ given curve greatest value Hence inflexion instantaneous axis integral intersection line IJ log mv magic square nodal normal obtain pairs parallel curve perpendicular points of contact pole quadric quartic surface radius reciprocal respectively shewn solenoid solution stationary tangent suppose tangent planes theorem torse triads unlike signs vertex w₁ whence WILLIAM WALTON zero square
Popular passages
Page 187 - On the small oscillations of a Rigid Body about a Fixed Point under the action of any Forces, and more particularly when gravity is the only force acting," Transactions of the Boyal Irish Academy, vol.
Page 59 - 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.
Page 188 - ... to these directions are at right angles. III. A Free Rigid Body. 4. A free rigid body may receive any displacement by being screwed along an axis in space, the distance it travels along the axis when turned through the unit of angle being termed the pitch of the screw.
Page 50 - Д0 be the area of the triangle formed by joining the points of contact of the...
Page 189 - ... of these axes, as about a fixed axis, and its motion is always compounded of vibrations about these axes. 15. The length of the simple pendulum isochronous with the vibration about each normal axis is proportional to the square of the ratio of the corresponding diameter in the ellipsoid of equal energy to that of the momental ellipsoid.
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Page 189 - A body rotating about a fixed point has throe degrees of freedom; its motion is compounded of vibrations about three normal screws whose pitch is zero, and whose directions pass through the point. NB — The screws in this case may be conveniently called the normal axes. V.
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