*Augustan Histories [Historia Augusta]*

Scriptores Historiae Augustae

117-284 AD

Trans RMBullard

Latin (Imperial Era)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.

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.

[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:]

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:]