Mathematical tracts on the lunar and planetary theories [&c.]. |
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Page 87
... vibration were not disturbed by the additional force . Conse- quently the place and velocity of the disturbed pendulum at the time t are the same as those of an undisturbed pendulum , whose arc of vibration on each side of the vertical ...
... vibration were not disturbed by the additional force . Conse- quently the place and velocity of the disturbed pendulum at the time t are the same as those of an undisturbed pendulum , whose arc of vibration on each side of the vertical ...
Page 88
sir George Biddell Airy. to act , the pendulum would go on vibrating so that its arc of vibration on each side would be the value which A ' had at the instant t , and as if it had been at the extremity of a vibration at B ' the time n ...
sir George Biddell Airy. to act , the pendulum would go on vibrating so that its arc of vibration on each side would be the value which A ' had at the instant t , and as if it had been at the extremity of a vibration at B ' the time n ...
Page 186
... vibration at the same instant and in the same direction : then , since one of the pendulums has in that interval gained exactly two vibrations upon the other , the ratio of * In practice , stations cannot be found exactly on the same ...
... vibration at the same instant and in the same direction : then , since one of the pendulums has in that interval gained exactly two vibrations upon the other , the ratio of * In practice , stations cannot be found exactly on the same ...
Page 187
... vibration of the clock - pendulum is found from astronomical observations : and thus the time of vibration of the experimental pendulum , and the number of vibrations which it makes in a day , are found with great accuracy . In some ...
... vibration of the clock - pendulum is found from astronomical observations : and thus the time of vibration of the experimental pendulum , and the number of vibrations which it makes in a day , are found with great accuracy . In some ...
Page 249
... vibration of each particle . 4 4. It is easily seen that the interval between corresponding points of two waves of condensation in fig . 36 ( which is the distance from a to a ' , a ' to a " , & c . at T , or the distance from d to ď ...
... vibration of each particle . 4 4. It is easily seen that the interval between corresponding points of two waves of condensation in fig . 36 ( which is the distance from a to a ' , a ' to a " , & c . at T , or the distance from d to ď ...
Other editions - View all
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Mathematical Tracts on the Lunar and Planetary Theories George Biddell Airy No preview available - 2019 |
Common terms and phrases
2π λ analyzing plate angle angular velocity attraction axis bright Cambridge cloth co-ordinates coefficient Consequently constant cos² Crown 8vo crystal curve depending different colours differential direction displacement distance disturbing force dR dR dt dt Earth elliptically polarized ellipticity equal equation expression extraordinary ray Fcap front function ƒ² glass h²)² Hence inclined integration intensity investigation length longitude mean anomaly Moon motion multiplied nearly node Nutation ordinary ray parallel particles perigee perihelion perpendicular plane of incidence plane of polarization plane of reflection point of Aries principal plane produced PROP proportion quantity radius vector refraction rhombohedron rings shew sin² spheroid Sun's suppose surface tangent tion tourmaline undulation vibration wave