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Saturday, May 14, 2011

Isaac Newton, Opera Scientifica

Augustan Histories [Historia Augusta]
Scriptores Historiae Augustae
117-284 AD
Trans RMBullard
Latin (Imperial Era)



PHILOSOPHIÆ NATURALIS PRINCIPIA MATHEMATICA
AUCTORE ISAACO NEWTONO, EQ. AUR.
Editio tertia aucta et emendata
Londini: apud Guil. & Joh. Innys, Regiæ Societatis typographos
MDCCXXVI

[pp. 13 et seq.]
[pg. 13 --and so on]


AXIOMATA, SIVE LEGES MOTUS
[AXIOMS, ON THE LAWS OF MOTION]

Leges solæ descripta sunt, commentariis prætermissis.
[Once the laws themselves are described here, as I've omitted my commentaries.]

Lex I [First law]

Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum,
[Every physical body must completely persevere in its state of rest or motion, uniformly and indefinitely,]

 nisi quatenus illud a viribus impressis cogitur statum suum mutare.
[until such time that its state is forced to change from forces placed upon it.]


Lex II [2nd Law]

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PHILOSOPHIÆ NATURALIS PRINCIPIA MATHEMATICA
AUCTORE ISAACO NEWTONO, EQ. AUR.
[The fundamental mathematical concepts of natural philosophy, by the author Isaac Newton, Knighted,

Editio tertia aucta et emendata
Londini:
[3rd edition, supplemented and edited in London:]

apud Guil. & Joh. Innys,
[by the company Guil. and Joh. Innys,]

Regiæ Societatis typographos
[both typographes of the Royal Society]

MDCCXXVI
[1726]

[pp. 526 usque ad 530]
[pages 526-530]


SCHOLIUM GENERALE
[A General Note]

Hypothesis vorticum multis premitur difficultatibus.
[The hypothesis of angles are constrained by many difficulties.]

Ut planeta unusquisque radio ad solem ducto areas describat tempori proportionales,
[Just like the planets, each and every one of their radii lead directly to the sun, and records the areas in proportion to their duration,]

tempora periodica partium vorticis deberent esse in duplicata ratione distantiarum a sole.
[the orbital durations, of the parts of their angles, ought to have a doubled total of distance from the sun.]

 Ut periodica planetarum tempora sint in proportione sesquiplicata distantiarum a sole,
[Just as the orbital spans of time for the planets can be multiplied by 6, in respect to their distance's from the sun,]

 tempora periodica partium vorticis deberent esse in sesquiplicata distantiarum proportione.
[the orbital spans of the angles of their components ought to be accompanied by a measure of distance that has been multiplied 6 times.] 



***

PHILOSOPHIÆ NATURALIS PRINCIPIA MATHEMATICA
AUCTORE ISAACO NEWTONO, EQ. AUR.
Editio tertia aucta et emendata
Londini: apud Guil. & Joh. Innys, Regiæ Societatis typographos
MDCCXXVI

[pp. 387 usque ad 389]
pg. 387-389


REGULÆ PHILOSOPHANDI
[Rules governing how to philosophize]

Regula I [First Rule]

Causas rerum naturalium non plures admitti debere,
[The reasons of natural occurrences ought not to be accepted any more,]

 quam quæ & veræ sint
[than that these things can be true]

 & earum phænomenis explicandis sufficiant.
[and that they can suffice to explain their manifestions.]


    Dicunt utique philosophi:
[At any rate, philosophers say:]