Elements of Natural Philosophy, Part 1 |
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Page 40
... is less than that along the oblique section — since a given chord cuts off an arc
from a circle , longer the less is the radius of that circle , 124. Hence , if the
shortest possible line be drawn from one point of a surface to another , its
osculating ...
... is less than that along the oblique section — since a given chord cuts off an arc
from a circle , longer the less is the radius of that circle , 124. Hence , if the
shortest possible line be drawn from one point of a surface to another , its
osculating ...
Page 41
Also , flexure stretches one side and condenses the other temporarily ; and , to a
less extent , permanently . Under elasticity we may return to this . In the meantime
, in considering illustrations of our kinematical propositions , it is necessary to ...
Also , flexure stretches one side and condenses the other temporarily ; and , to a
less extent , permanently . Under elasticity we may return to this . In the meantime
, in considering illustrations of our kinematical propositions , it is necessary to ...
Page 44
Along one of these the elongation is greater , and along another less , than along
any other direction in the body . Along the remaining one the elongation is less
than in any other line in the plane of itself and the first mentioned , and greater ...
Along one of these the elongation is greater , and along another less , than along
any other direction in the body . Along the remaining one the elongation is less
than in any other line in the plane of itself and the first mentioned , and greater ...
Page 48
But now , we have a whole shear PP ,; and to make this as one non - rotational
shear , we must turn CD through an angle P , OP only , which is less than Q OQ
by the excess of POQ above QOP . Hence the resultant of the two shears , PP , P ,
P ...
But now , we have a whole shear PP ,; and to make this as one non - rotational
shear , we must turn CD through an angle P , OP only , which is less than Q OQ
by the excess of POQ above QOP . Hence the resultant of the two shears , PP , P ,
P ...
Page 56
It is better , though less usual , to call them standard masses than standard
weights ; as weight properly means force , and ambiguity is the worst fault of
language . They are employed primarily in commerce for the purpose of
measuring out a ...
It is better , though less usual , to call them standard masses than standard
weights ; as weight properly means force , and ambiguity is the worst fault of
language . They are employed primarily in commerce for the purpose of
measuring out a ...
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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