[Gutenberg 28233] • Philosophiae Naturalis Principia Mathematica by Newton, Isaac -- Read -- Imperial Library of Trantor

Index

PHILOSOPHIÆ

NATURALIS

PRINCIPIA

MATHEMATICA IMPRIMATUR.

S. PEPYS, Reg. Soc. PRÆSES. LONDINI, ILLUSTRISSIMÆ

SOCIETATI REGALI

REGE CAROLO II.

PHILOSOPHIAM PROMOVENDAM

FUNDATÆ,

ET AUSPICIIS

POTENTISSIMI MONARCHÆ

JACOBI II.

FLORENTI.

Tractatum hunc humillime D.D.D. IS. NEWTON.

PRÆFATIO

LECTOREM.

VIRI PRÆSTANTISSIMI

D. ISAACI NEWTONI

OPUS HOCCE MATHEMATICO-PHYSICUM

PHILOSOPHIÆ

NATURALIS

Principia MATHEMATICA.

Definitiones. Def. I. Def. II. Def. III. Def. IV. Def. V. Def. VI. Def. VII. Def. VIII. Scholium.

AXIOMATA

SIVE

LEGES MOTUS

Lex. I. Lex. II. Lex. III. Corol. I. Corol. II. Corol. III. Corol. IIII. Corol. V. Corol. VI. Scholium

DE MOTU CORPORUM

Liber PRIMUS SECT. I.

LEMMA I. Lemma II. Lemma III. Lemma IV. Lemma V. Lemma VI. Lemma VII. Lemma VIII. Lemma IX. Lemma X. Lemma XI. Scholium.

SECT. II.

Prop. I. Theorema. I. Pro. II. Theor. II. Scholium. Prop. III. Theor. III. Scholium Prop. IV. Theor. IV. Scholium. Prop. V. Prob. I. Pro. VI. Theor. V. Prop. VII. Prob. II. Prop. VIII. Prob. III. Scholium. Prop. IX. Prob. IV. Lemma XII. Prop. X. Prob. V. Scholium.

SECT. III.

Prop. XI. Prob. VI. Prop. XII. Prob. VII. Lemma XIII. Lemma XIV. Prop. XIII. Prob. VIII. Prop. XIV. Theor. VI. Prop. XV. Theor. VII. Prop. XVI. Theor. VIII. Prop. XVII. Prob. IX.

SECT. IV.

Lemma XV. Prop. XVIII. Prob. X. Prop. XIX. Prob. XI. Prop. XX. Prob. XII. Lemma XVI. Prop. XXI. Prob. XIII. Scholium.

SECT. V.

Lemma XVII. Lemma XVIII. Scholium. Lemma XIX. Lemma XX. Lemma XXI. Prop. XXII. Prob. XIV. Idem aliter. Schol. Prop. XXIII. Prob. XV. Idem aliter. Prop. XXIV. Prob. XVI. Lemma XXII. Prop. XXV. Prob. XVII. Prop. XXVI. Prob. XVIII. Lemma XXIII. Lemma XXIV. Lemma XXV. Prop. XXVII. Prob. XIX. Schol. Lemma XXVI. Prop. XXVIII. Prob. XX. Lemma XXVII. Prop. XXIX. Prob. XIX. Scholium.

SECT. VI.

Prop. XXX. Prob. XXII. Lemma XXVIII. Corollarium. Prop. XXXI. Prob. XXIII. Scholium.

SECT. VII.

Prop. XXXII. Prob. XXIV. Prop. XXXIII. Theor. IX. Prop. XXXIV. Theor. X. Prop. XXXV. Theor. XI. Prop. XXXVI. Prob. XXV. Prop. XXXVII. Prob. XXVI. Prop. XXXVIII. Theor. XII. Prop. XXXIX. Prob. XXVII.

SECT. VIII.

Prop. XL. Theor. XIII. Prop. XLI. Prob. XXVIII. Prop. XLII. Prob. XXIX.

SECT. IX.

Prop. XLIII. Prob. XXX. Prop. XLIV. Theor. XIV. Prop. XLV. Prob. XXXI.

SECT. X.

Prop. XLVI. Prob. XXXII. Prop. XLVII. Theor. XV. Scholium. Prop. XLVIII. Theor. XVI. Prop. XLIX. Theor. XVII. Prop. L. Prob. XXXIII. Prop. LI. Theor. XVIII. Prop. LII. Prob. XXXIV. Prop. LIII. Prob. XXXV. Prop. LIV. Prob. XXXVI. Prop. LV. Theor. XIX. Prop. LVI. Prob. XXXVII.

SECT. XI.

Prop. LVII. Theor. XX. Prop. LVIII. Theor. XXI. Prop. LIX. Theor. XXII. Prop. LX. Theor. XXIII. Prop. LXI. Theor. XXIV. Prop. LXII. Prob. XXXVIII. Prop. LXIII. Prob. XXXIX. Prop. LXIV. Prob. XL. Prop. LXV. Theor. XXV. Prop. LXVI. Theor. XXVI. Prop. LXVII. Theor. XXVII. Prop. LXVIII. Theor. XXVIII. Prop. LXIX. Theor. XXIX. Scholium.

SECT. XII.

Prop. LXX. Theor. XXX. Prop. LXXI. Theor. XXXI. Prop. LXXII. Theor. XXXII. Prop. LXXIII. Theor. XXXIII. Scholium. Prop. LXXIV. Theor. XXXIV. Prop. LXXV. Theor. XXXV. Prop. LXXVI. Theor. XXXVI. Prop. LXXVII. Theor. XXXVII. Prop. LXXVIII. Theor. XXXVIII. Scholium. Lemma XXIX. Prop. LXXIX. Theor. XXXIX. Prop. LXXX. Theor. XL. Prop. LXXXI. Prob. XLI. Prop. LXXXII. Theor. XLI. Prop. LXXXIII. Prob. XLII. Prop. LXXXIV. Prob. XLIII. Scholium.

SECT. XIII.

Prop. LXXXV. Theor. XLII. Prop. LXXXVI. Theor. XLIII. Prop. LXXXVII. Theor. XLIV. Prop. LXXXVIII. Theor. XLV. Prop. LXXXIX. Theor. XLVI. Prop. XC. Prob. XLIV. Prop. XCI. Prob. XLV. Prop. XCII. Prob. XLVI. Prop. XCIII. Theor. XLVII. Scholium.

SECT. XIV.

Prop. XCIV. Theor. XLVIII. Prop. XCV. Theor. XLIX. Prop. XCVI. Theor. L. Scholium. Prop. XCVII. Prob. XLVII. Prop. XCVIII. Prob. XLVIII. Scholium.

DE MOTU CORPORUM

Liber SECUNDUS SECT. I.

Prop. I. Theor. I. Lemma I. Prop. II. Theor. II. Prop. III. Prob. I. Prop. IV. Prob. II. Scholium.

SECT. II.

Prop. V. Theor. III. Prop. VI. Theor. IV. Prop. VII. Theor. V. Lemma II. Scholium. Prop. VIII. Theor. VI. Prop. IX. Theor. VII. Prop. X. Prob. III. Scholium.

SECT. III.

Prop. XI. Theor. VIII. Prop. XII. Theor. IX. Prop. XIII. Theor. X. Prop. XIV. Prob. IV.

SECT. IV.

LEM. III. Prop. XV. Theor. XI. Prop. XVI. Theor. XII. Scholium. Prop. XVII. Prob. V. Prop. XVIII. Prob. VI.

SECT. V.

Definitio Fluidi. Prop. XIX. Theor. XIII. Prop. XX. Theor. XIV. Prop. XXI. Theor. XV. Prop. XXII. Theor. XVI. Scholium. Prop. XXIII. Theor. XVII. Scholium.

SECT. VI.

Prop. XXIV. Theor. XVIII. Prop. XXV. Theor. XIX. Prop. XXVI. Theor. XX. Prop. XXVII. Theor. XXI. Prop. XXVIII. Theor. XXII. Prop. XXIX. Prob. VII. Prop. XXX. Theor. XXIII. Prop. XXXI. Theor. XXIV.

SECT. VII.

Prop. XXXII. Theor. XXV. Prop. XXXIII. Theor. XXVI. Prop. XXXIV. Theor. XXVII. Prop. XXXV. Theor. XXVIII. Scholium. Prop. XXXVI. Prob. VIII. Prop. XXXVII. Prob. IX. Prop. XXXVIII. Theor. XXIX. Lemma IV. Prop. XXXIX. Theor. XXX. Prop. XL. Prob. X. Scholium Generale.

SECT. VIII.

Prop. XLI. Theor. XXXI. Prop. XLII. Theor. XXXII. Prop. XLIII. Theor. XXXIII. Prop. XLIV. Theor. XXXIV. Prop. XLV. Theor. XXXV. Prop. XLVI. Prob. XI. Prop. XLVII. Theor. XXXVI. Prop. XLVIII. Theor. XXXVII. Prop. XLIX. Prob. XII. Prop. L. Prob. XIII. Schol.

SECT. IX.

Hypothesis. Prop. LI. Theor. XXXVIII. Prop. LII. Theor. XXXIX. Scholium. Prop. LIII. Theor. XL. Scholium.

De Mundi Systemate

LIBER TERTIUS

HYPOTHESES. Satellitum tempora periodica. Distantiæ Satellitum à centro Jovis. Planetarum ac Telluris Distantiæ mediocres à Sole. Prop. I. Theor. I. Prop. II. Theor. II. Prop. III. Theor. III. Prop. IV. Theor. IV. Prop. V. Theor. V. Prop. VI. Theor. VI. Prop. VII. Theor. VII. Prop. VIII. Theor. VIII. Prop. IX. Theor. IX. Prop. X. Theor. X. Prop. XI. Theor. XI. Prop. XII. Theor. XII. Prop. XIII. Theor. XIII. Prop. XIV. Theor. XIV. Prop. XV. Theor. XV. Prop. XVI. Prob. I. Prop. XVII. Theor. XVI. Prop. XVIII. Theor. XVII. Prop. XIX. Prob. II. Prop. XX. Prob. III. Prop. XXI. Theor. XVIII. Prop. XXII. Theor. XIX. Prop. XXIII. Prob. IV. Prop. XXIV. Theor. XX. Prop. XXV. Prob. V. Prop. XXVI. Prob. VI. Prop. XXVII. Prob. VII. Prop. XXVIII. Prob. VIII. Prop. XXIX. Prob. IX. Prop. XXX. Prob. X. Prop. XXXI. Prob. XI. Prop. XXXII. Prob. XII. Prop. XXXIII. Prob. XIII. Prop. XXXIV. Prob. XIV. Prop. XXXV. Prob. XV. Scholium. Prop. XXXVI. Prob. XVI. Prop. XXXVII. Prob. XVII. Prop. XXXVIII. Prob. XVIII. Lemma I. Lemma II. Lemma III. Prop. XXXIX. Prob. XIX. Lemma IV. Prop. XL. Theor. XXI. Lemma V. Lemma VI. Lemma VII. Lemma VIII. Lemma IX. Lemma X. Lemma XI. Prop. XLI. Prob. XX. Exemplum. Prop. XLII. Prob. XXI.

FINIS.

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