Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 6-10 of 52
Page 14
... circle , whatever be the form and dimensions of the orbit . The proof will be given immediately . It was shown ... circle . YAZ , whose diameter is the major axis . Produce YS to cut the circle again in Z. Then YS SZ is constant , and ...
... circle , whatever be the form and dimensions of the orbit . The proof will be given immediately . It was shown ... circle . YAZ , whose diameter is the major axis . Produce YS to cut the circle again in Z. Then YS SZ is constant , and ...
Page 15
... circle , the orbit must be a conic section of which the fixed point is a focus . But we may also prove this important proposition as follows : Let A be the centre of the circle , and O the hodographic origin . Join OA and draw the ...
... circle , the orbit must be a conic section of which the fixed point is a focus . But we may also prove this important proposition as follows : Let A be the centre of the circle , and O the hodographic origin . Join OA and draw the ...
Page 16
... circle an arc whose length is equal 180 ° to the radius ; being an angle of nearly . П = 57 ° 29578 ... = 57 ° 17′44 ′′ .8 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity perpendicular to ...
... circle an arc whose length is equal 180 ° to the radius ; being an angle of nearly . П = 57 ° 29578 ... = 57 ° 17′44 ′′ .8 56. The angular velocity of a point in a plane is evidently to be found by dividing the velocity perpendicular to ...
Page 17
... circle . This demonstration , reversed , proves that if the hodograph be a circle , and the acceleration be to- wards a fixed point , the acceleration varies inversely as the square of the distance of the moving point from the fixed ...
... circle . This demonstration , reversed , proves that if the hodograph be a circle , and the acceleration be to- wards a fixed point , the acceleration varies inversely as the square of the distance of the moving point from the fixed ...
Page 18
... circle on a fixed straight line or circle . In the meantime , we take a different form of enunciation , which however leads to precisely the same result . The actual path of a point which revolves uniformly in a circle about another ...
... circle on a fixed straight line or circle . In the meantime , we take a different form of enunciation , which however leads to precisely the same result . The actual path of a point which revolves uniformly in a circle about another ...
Other editions - View all
Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire