Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page xiii
... zero , increases to a maximum , de- creases and becomes zero again , when the planets return to the same relative positions . In consequence of these , the troubled planet is sometimes drawn away from the sun , some- times brought ...
... zero , increases to a maximum , de- creases and becomes zero again , when the planets return to the same relative positions . In consequence of these , the troubled planet is sometimes drawn away from the sun , some- times brought ...
Page xiv
... zero and unity , however much the time may increase , it follows , that when the variations have by slow changes accumulated in how- ever long a time to a maximum , they decrease by the same slow degrees , till they arrive at their ...
... zero and unity , however much the time may increase , it follows , that when the variations have by slow changes accumulated in how- ever long a time to a maximum , they decrease by the same slow degrees , till they arrive at their ...
Page liii
... zero , which happens twice every year . The greatest tides take place when a new or full moon happens near the equinoxes while the moon is in perigee . The inclination of the moon's orbit on the ecliptic is 5 ° 9 ′ ; hence in the ...
... zero , which happens twice every year . The greatest tides take place when a new or full moon happens near the equinoxes while the moon is in perigee . The inclination of the moon's orbit on the ecliptic is 5 ° 9 ′ ; hence in the ...
Page 10
... zero . 36. If the material point be in equilibrio on a curved surface , or on a curved line , the resulting force must be perpendicular to the line or surface , otherwise the particle would slide . The line or sur- face resists the ...
... zero . 36. If the material point be in equilibrio on a curved surface , or on a curved line , the resulting force must be perpendicular to the line or surface , otherwise the particle would slide . The line or sur- face resists the ...
Page 11
... zero , then c = 90 ° , F = √ / X2 + Y3 , X = F cos a , Y = F cos b . 38. Velocity and force being each represented by the same space , whatever has been explained with regard to the resolution and com- position of the one applies ...
... zero , then c = 90 ° , F = √ / X2 + Y3 , X = F cos a , Y = F cos b . 38. Velocity and force being each represented by the same space , whatever has been explained with regard to the resolution and com- position of the one applies ...
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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