Principia
Mathematica
by Isaac Newton
訳文
(Translational Text)
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.
解釈(Interpretation)
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」
→「the ultimate
determination
of the action
⇔the determination
of the reaction」
プリンキピア・マテマティカ
原文ラテン語版
( Principia Mathematica
in Latin )
https://la.wikisource.org/wiki/Philosophiae_Naturalis_Principia_Mathematica_-_Axiomata,_sive_Leges_Motus
プリンキピア・マテマティカ
英語訳版
( Principia Mathematica
in English )
https://en.wikisource.org/wiki/The_Mathematical_Principles_of_Natural_Philosophy_(1729)/Axioms,_or_Laws_of_Motion
プリンキピア・マテマティカ
日本語訳版
( Principia Mathematica
in Japanese Language )
https://cojjy.wordpress.com/2012/05/01/as/