Philosophiae Naturalis Principia Mathematica
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PHILOSOPHIÆ
NATURALIS
PRINCIPIA
MATHEMATICA
IMPRIMATUR.
S. PEPYS, Reg. Soc. PRÆSES.
LONDINI,
ILLUSTRISSIMÆ
SOCIETATI REGALI
REGE CAROLO II.
AD
PHILOSOPHIAM PROMOVENDAM
FUNDATÆ,
ET AUSPICIIS
POTENTISSIMI MONARCHÆ
JACOBI II.
FLORENTI.
Tractatum hunc humillime D.D.D.
IS. NEWTON.
PRÆFATIO
AD
LECTOREM.
IN
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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