Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page ix
... indefinitely in space , whence proceed all the mutual disturbances that render the celestial motions so complicated ... small , to attract another portion and not be itself attracted , the centre of gravity of the earth would be moved in ...
... indefinitely in space , whence proceed all the mutual disturbances that render the celestial motions so complicated ... small , to attract another portion and not be itself attracted , the centre of gravity of the earth would be moved in ...
Page xii
... infinitely greater difficulty , if the disturbing action were not very small ... small oscillations is nearly equal to their simultaneous and joint effect ... little from circles , the momentum of the planets when pro- jected , must have ...
... infinitely greater difficulty , if the disturbing action were not very small ... small oscillations is nearly equal to their simultaneous and joint effect ... little from circles , the momentum of the planets when pro- jected , must have ...
Page lv
... infinitely divisible or not . On the latter hypothesis it must really be finite ; and even if the particles of matter be infi- nitely divisible , it is known by experience to be of extreme tenuity at very small heights . The barometer ...
... infinitely divisible or not . On the latter hypothesis it must really be finite ; and even if the particles of matter be infi- nitely divisible , it is known by experience to be of extreme tenuity at very small heights . The barometer ...
Page 5
... indefinitely small space caused to be moved over in a given indefinitely small time . 8. Velocity is the space moved over in a given time , how small soever the parts may be into which the interval is divided . 9. The velocity of a body ...
... indefinitely small space caused to be moved over in a given indefinitely small time . 8. Velocity is the space moved over in a given time , how small soever the parts may be into which the interval is divided . 9. The velocity of a body ...
Page 16
... indefinitely small space , so that it always remains on the curve or surface , which it ought to follow , if not entirely free , the sum of the forces which urge it , each multiplied by the element of its direction , will be zero in the ...
... indefinitely small space , so that it always remains on the curve or surface , which it ought to follow , if not entirely free , the sum of the forces which urge it , each multiplied by the element of its direction , will be zero in the ...
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Common terms and phrases
A₁ action angle ascending node attraction axes axis B₁ becomes c'mv centre of gravity centrifugal force co-ordinates coefficients comets computed conic sections consequently cosines curve density depending determined differential direction disturbing forces dR dR dt dt earth eccentricity ecliptic elements epoch equal equilibrium equinoxes expression fixed plane fluid functions give hence inclination indefinitely small integral Jupiter latitude mass mean anomaly mean distance mean longitude mean motion moon moon's move nearly observation omitted orbit of Jupiter oscillations parallax particle perigee perihelion periodic inequalities perturbations planets preceding equation preceding values radius vector ratio regard rotation satellites Saturn secular inequalities secular variations sidereal sine spheroid square substituted surface system of bodies terrestrial theory tion true longitude Uranus velocity whence zero