Elements of Natural Philosophy, Volume 1 |
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Page 4
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be ...
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be ...
Page 8
... figure ; where OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC ...
... figure ; where OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC ...
Page 13
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
Page 20
... figure . An arc of the circle referred to , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of ...
... figure . An arc of the circle referred to , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of ...
Page 25
... figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter period , are ...
... figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by at quarter period , are ...
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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