Mechanism of the HeavensJ. Murray, 1831 - 621 pages |
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Page 5
... hence if the velocity v be the space moved over in one , second or unit of time , vt is the space moved over in t seconds or units of time ; or representing the space by s , s vt . 10. Thus it is proved that the space described with a ...
... hence if the velocity v be the space moved over in one , second or unit of time , vt is the space moved over in t seconds or units of time ; or representing the space by s , s vt . 10. Thus it is proved that the space described with a ...
Page 8
... hence if at be equal to the space mA , and bt equal to the space mB , we have t = mA a = mB b a ; whence mA = = mB b which is the equation to a straight line mo , passing through o , the origin of the co - ordinates . If the co ...
... hence if at be equal to the space mA , and bt equal to the space mB , we have t = mA a = mB b a ; whence mA = = mB b which is the equation to a straight line mo , passing through o , the origin of the co - ordinates . If the co ...
Page 11
... hence the component force parallel to the axis or is F ( x − a ) r • In the same manner it may be shown , that F ( y − b ) ; F ( z − c ) r are the component forces parallel to oy and oz . of the diagonal gives Sr = δι ( x - a ) dr ...
... hence the component force parallel to the axis or is F ( x − a ) r • In the same manner it may be shown , that F ( y − b ) ; F ( z − c ) r are the component forces parallel to oy and oz . of the diagonal gives Sr = δι ( x - a ) dr ...
Page 20
... Hence the effect of the cen- A tral force is measured by ma , the sagitta of the arc mB described in an indefinitely small given time , or by ( arc mB ) 2 m a 2. om of the circle coinciding with the curve in m . ma , om being the radius ...
... Hence the effect of the cen- A tral force is measured by ma , the sagitta of the arc mB described in an indefinitely small given time , or by ( arc mB ) 2 m a 2. om of the circle coinciding with the curve in m . ma , om being the radius ...
Page 21
... hence F des dt time , produces an indefinitely small d's dt ; but since a constant force , act- General Equations of the Motions of a Particle of Matter . 69. The general equation of the motion of a particle of matter , when acted on by ...
... hence F des dt time , produces an indefinitely small d's dt ; but since a constant force , act- General Equations of the Motions of a Particle of Matter . 69. The general equation of the motion of a particle of matter , when acted on by ...
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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