Elements of Natural Philosophy, Part 1 |
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Page 29
Very many interesting applications of this principle may be made , of which ,
however , few belong strictly to our subject , and we shall therefore give only an
example or two . Thus we know that if a line of given length AB move with its ...
Very many interesting applications of this principle may be made , of which ,
however , few belong strictly to our subject , and we shall therefore give only an
example or two . Thus we know that if a line of given length AB move with its ...
Page 30
Also AB in its motion always touches a ( called in geometry its envelop ) ; and P
the same principle enables us to find the point of the envelop which lies in A AB ,
for the motion of that point must evidently be ultimately ( that is for a very small ...
Also AB in its motion always touches a ( called in geometry its envelop ) ; and P
the same principle enables us to find the point of the envelop which lies in A AB ,
for the motion of that point must evidently be ultimately ( that is for a very small ...
Page 51
... link without a definite proportion of rotation round this line ; nor can it have
rotation round this line without a definite proportion of translation parallel to it .
CHAPTER II . DYNAMICAL LAWS AND PRINCIPLES . 171. In E 2 KINEMATICS .
51.
... link without a definite proportion of rotation round this line ; nor can it have
rotation round this line without a definite proportion of translation parallel to it .
CHAPTER II . DYNAMICAL LAWS AND PRINCIPLES . 171. In E 2 KINEMATICS .
51.
Page 52
DYNAMICAL LAWS AND PRINCIPLES . 171. In the preceding chapter we
considered as a subject of pure geometry the motion of points , lines , surfaces ,
and volumes , whether taking place with or without change of dimensions and
form ...
DYNAMICAL LAWS AND PRINCIPLES . 171. In the preceding chapter we
considered as a subject of pure geometry the motion of points , lines , surfaces ,
and volumes , whether taking place with or without change of dimensions and
form ...
Page 53
... not a change of speed , of the motion . 179. The Vis Viva , or Kinetic Energy , of
a moving body is proportional to the mass and the square of the velocity ,
conjointly . If т T - 09 ) == we adopt the same DYNAMICAL LAWS AND
PRINCIPLES .
... not a change of speed , of the motion . 179. The Vis Viva , or Kinetic Energy , of
a moving body is proportional to the mass and the square of the velocity ,
conjointly . If т T - 09 ) == we adopt the same DYNAMICAL LAWS AND
PRINCIPLES .
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Common terms and phrases
acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently experience expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire