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]
***
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:]
