Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page lvii
... Dr. Thomas Young , and those of the celebrated Fresnel , show that this theory accords better with all the observed phenomena than that of the emission of particles from the luminous body . As sound is propagated by the undulations of ...
... Dr. Thomas Young , and those of the celebrated Fresnel , show that this theory accords better with all the observed phenomena than that of the emission of particles from the luminous body . As sound is propagated by the undulations of ...
Page 11
... dr ( y - b ) . r бу 1 hence the component forces of F are dr F ; F ; F δι Now the equation Sr ( z - ; = c ) Again , if F ' be another force acting on the particle at m in another direction r ' , its component forces parallel to the co ...
... dr ( y - b ) . r бу 1 hence the component forces of F are dr F ; F ; F δι Now the equation Sr ( z - ; = c ) Again , if F ' be another force acting on the particle at m in another direction r ' , its component forces parallel to the co ...
Page 14
... dr = 0 . Equilibrium of a Particle on a curved Surface . 48. The equation ( 3 ) is sufficient for the equilibrium of a particle of matter , if it be free to move in any direction ; but if it be con- strained to remain on a curved ...
... dr = 0 . Equilibrium of a Particle on a curved Surface . 48. The equation ( 3 ) is sufficient for the equilibrium of a particle of matter , if it be free to move in any direction ; but if it be con- strained to remain on a curved ...
Page 24
... dr ) & x + ( Y - dy ) by + ( Z - A ) dz dt2 + R1ds - λόκ and this is true whatever A may be . ( 8 ) But A being thus left arbitrary , we are at liberty to determine it by any convenient condition . Let this condition be Rds - λdu 0 , ds ...
... dr ) & x + ( Y - dy ) by + ( Z - A ) dz dt2 + R1ds - λόκ and this is true whatever A may be . ( 8 ) But A being thus left arbitrary , we are at liberty to determine it by any convenient condition . Let this condition be Rds - λdu 0 , ds ...
Page 32
... dr dy dr :: 1 sin 0 , and sin 0 = In the same manner cos 0 = • ds ds But d . cos 0 = - de sin e , and d◊ — — d.coso sin - ; also d . sin ◊ = d . sin o de cos e , and do = ; but these evidently become cos Ꮎ ds dx de = + d and de - ds ...
... dr dy dr :: 1 sin 0 , and sin 0 = In the same manner cos 0 = • ds ds But d . cos 0 = - de sin e , and d◊ — — d.coso sin - ; also d . sin ◊ = d . sin o de cos e , and do = ; but these evidently become cos Ꮎ ds dx de = + d and de - ds ...
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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