英語版プリンキピア

F=ma
F=ma=0
F=0
Newtonian Equation Of Motion
運動方程式
うんどうほうていしき
Newton's First Law
Inertia
慣性の法則
かんせいのほうそく

F=ma
F=ma≠0
F≠0
F=ma≠0
F=ma
Newtonian Equation Of Motion
運動方程式
うんどうほうていしき

F=-F
Fn=-Fn+1
Fv=-Fv
(Fv)n=(-Fv)n+1
Fnvn=-Fn+1vn+1
Actio et Reactio
Action And Reaction
The actions and reactions
作用反作用
さようはんさよう
Moebius
メビウス

英語版プリンキピア
……
I was only willing to show by
those examples the great extent
and certainty of the third Law of motion.
For if we estimate
the action of the agent
from its force and velocity conjunctly
and likewise the reaction of
the impediment conjunctly
from the velocities of its several parts,
and from the forces of resistance
arising from the attrition,
cohesion, weight,
and acceleration of those parts,
the action and reaction
in the use of
all sorts of machines
will be found
always equal to one another.
And so far as the action
is propagated
by the intervening instruments,
and at last impressed
upon the resisting body,
the ultimate determination of the action
will be always contrary to
the determination of the reaction.
――――――――――――――――――
――――――――――――――――――
For if we estimate the action of the agent
from its force and velocity conjunctly,
→「the action of the agent＝
F(its force) * V(its velocity)」

and likewise the reaction
of the impediment conjunctly
from the velocities
of its several parts,
and from the forces of resistance
arising from the attrition,
cohesion, weight,
and acceleration of those parts,
→「the reaction of the impediment
= V(the velocities of its several parts)*
F(the forces of resistance
arising from the attrition,
cohesion, weight,
and acceleration of those parts)」

the action and reaction
in the use of all sorts of machines
will be found always
equal to one another.
→「the action in the use of
all sorts of machines
= the reaction in the use of
all sorts of machines」

And so far as the action is propagated
by the intervening instruments,
and at last impressed
upon the resisting body,
the ultimate determination of the action
will be always contrary to
the determination of the reaction.
→「the ultimate determination
of the action
⇔the determination of the reaction」