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Philosophiae Naturalis Principia Mathematica

By Sir Isaac Newton
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Book Description
Table of Contents
  • PHILOSOPHIÆ
    • NATURALIS
  • PRINCIPIA
    • MATHEMATICA
    • IMPRIMATUR.
      • S. PEPYS, Reg. Soc. PRÆSES.
      • LONDINI,
      • ILLUSTRISSIMÆ
    • S. PEPYS, Reg. Soc. PRÆSES.
    • LONDINI,
    • ILLUSTRISSIMÆ
    • SOCIETATI REGALI
  • REGE CAROLO II.
    • AD
      • PHILOSOPHIAM PROMOVENDAM
    • PHILOSOPHIAM PROMOVENDAM
    • FUNDATÆ,
      • ET AUSPICIIS
    • ET AUSPICIIS
    • POTENTISSIMI MONARCHÆ
  • JACOBI II.
    • FLORENTI.
      • Tractatum hunc humillime D.D.D.
      • IS. NEWTON.
    • Tractatum hunc humillime D.D.D.
    • IS. NEWTON.
    • PRÆFATIO
      • AD
    • AD
  • LECTOREM.
    • IN
      • VIRI PRÆSTANTISSIMI
    • VIRI PRÆSTANTISSIMI
    • D. ISAACI NEWTONI
      • OPUS HOCCE
      • MATHEMATICO-PHYSICUM
    • OPUS HOCCE
    • MATHEMATICO-PHYSICUM
    • PHILOSOPHIÆ
      • NATURALIS
    • NATURALIS
    • Principia
    • MATHEMATICA.
      • Definitiones.
      • Def. I.
      • Def. II.
      • Def. III.
      • Def. IV.
      • Def. V.
      • Def. VI.
      • Def. VII.
      • Def. VIII.
      • Scholium.
    • Definitiones.
    • Def. I.
    • Def. II.
    • Def. III.
    • Def. IV.
    • Def. V.
    • Def. VI.
    • Def. VII.
    • Def. VIII.
    • Scholium.
    • AXIOMATA
      • SIVE
    • SIVE
    • LEGES MOTUS
      • Lex. I.
      • Lex. II.
      • Lex. III.
      • Corol. I.
      • Corol. II.
      • Corol. III.
      • Corol. IIII.
      • Corol. V.
      • Corol. VI.
      • Scholium
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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.
    • 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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