Of Motion: An Elementary Treatise |
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Page 24
... perpendicular to AC , SV SY SV = SY SA ' and .. = SA SY But = SA sin ( 90 ° - ) = cos ; SV = cos2 1 . SA v'2 .. SV = 7 = 222 cos2 1 , or L 20'2 = 2a cos2 ( see Art . 42 ) . a 46. The distance from A of the other point where the para ...
... perpendicular to AC , SV SY SV = SY SA ' and .. = SA SY But = SA sin ( 90 ° - ) = cos ; SV = cos2 1 . SA v'2 .. SV = 7 = 222 cos2 1 , or L 20'2 = 2a cos2 ( see Art . 42 ) . a 46. The distance from A of the other point where the para ...
Page 33
... being supposed to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) F 63. If p be the perpendicular from the origin or EQUABLE DESCRIPTION OF AREAS . 33 62.
... being supposed to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) F 63. If p be the perpendicular from the origin or EQUABLE DESCRIPTION OF AREAS . 33 62.
Page 34
An Elementary Treatise John Robert Lunn. 63. If p be the perpendicular from the origin or pole on the tangent to the path , pds = 284 , the more nearly as ds and SA are more and more diminished ; dA ds = 2 ds or p dt = dA 2 = h ; dt h Ρ ...
An Elementary Treatise John Robert Lunn. 63. If p be the perpendicular from the origin or pole on the tangent to the path , pds = 284 , the more nearly as ds and SA are more and more diminished ; dA ds = 2 ds or p dt = dA 2 = h ; dt h Ρ ...
Page 70
... perpendicular to the radius vector , or the whole acceleration is along the radius vector ; wherefore the whole force on any one planet is constantly directed towards the Sun. ( NEWTON , Prop . 2. ) 127. From the first law , compared ...
... perpendicular to the radius vector , or the whole acceleration is along the radius vector ; wherefore the whole force on any one planet is constantly directed towards the Sun. ( NEWTON , Prop . 2. ) 127. From the first law , compared ...
Page 72
... perpendicular to the plane Wcos - R : therefore the acceleration down the plane = g sin , and the acceleration perpendicular to the plane = g cos i — § . - But since there is no motion perpendicular to the plane CHAPTER VIII OF ...
... perpendicular to the plane Wcos - R : therefore the acceleration down the plane = g sin , and the acceleration perpendicular to the plane = g cos i — § . - But since there is no motion perpendicular to the plane CHAPTER VIII OF ...
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accele acceleration produced axes axis balls center of force chord circle complete oscillation conic section constant acceleration cos˛ curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt˛ earth's effect elastic ellipse equal equation fixed point focus force acting force of constraint force varying geometrical horizontal hyperbola impact impulse inclined plane inelastic initial direction initially at rest instant Ipswich School latus rectum Law of Motion length lowest point magnitude measure moving point NEWTON obtained Octavo orbit parabola parallelogram particle path perpendicular point of projection quantity of matter radius vector Second Edition Sermons shew sin˛ space passed straight line string supposed tangent tion Treatise Trinity College University of Cambridge v₁ versin vertex vis viva weight whence
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