The Usefulness of Mathematical learning explained and demonstrated

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1. FIGURE: Isaac Barrow.Access to Book Part 
2. TABLE OF CONTENTS: The Contents.Access to Book Part 
3. ERRATA: Errata.Access to Book Part 
4. CHAPTER: The Prefatory Oration.Access to Book Part 
5. CHAPTER: Lecture I. Of the Name and General Division of the Mathematical Sciences.Access to Book Part 
6. CHAPTER: Lecture II. Of the particular Division of the Mathematical Sciences.Access to Book Part 
7. CHAPTER: Lecture III. Of the Identity of Arithmetic and Geometry.Access to Book Part 
8. CHAPTER: Lecture IV. Of the Unfitness of the common Division of Mathematics into Speculative and Practical, and of the Excellence of Mathematical Demonstration.Access to Book Part 
9. CHAPTER: Lecture V. Containing Answers to the Objections which are usually brought against Mathematical Demonstration.Access to Book Part 
10. CHAPTER: Lecture VI. On the Causality of Mathematical Demonstration.Access to Book Part 
11. CHAPTER: Lecture VII. Of the Nature of First Principles.Access to Book Part 
12. CHAPTER: Lecture VIII. Of the Division of First Principles.Access to Book Part 
13. CHAPTER: Lecture IX. Of the Termination, Extension, Composition and Divisibility of Magnitudes.Access to Book Part 
14. CHAPTER: Lecture X. Of Space and Impenetrability.Access to Book Part 
15. CHAPTER: Lecture XI. Of the Congruity and Equality of Magnitudes.Access to Book Part 
16. CHAPTER: Lecture XII. An Examination of the Objections brought by Proclus etc.Access to Book Part 
17. CHAPTER: Lecture XIII. Of the erroneous comment of Proclus and others on the eighth Axiom of the first Element etc.Access to Book Part 
18. CHAPTER: Lecture XIV. On the different Acceptations of the Word Measure.Access to Book Part 
19. CHAPTER: Lecture XV. Of the Acceptation of the Word paronymous to Measure. Mensurability, Mensuration, Commensurability and Incommensurability.Access to Book Part 
20. CHAPTER: Lecture XVI. Of the Homogeneity and Heterogeneity of Quantites.Access to Book Part 
21. CHAPTER: Lecture XVII. Of the Names and Diversities of the twofold Kind of Reason or Proportion. Arithmetical and Geometrical.Access to Book Part 
22. CHAPTER: Lecutre XVIII. A Defence of Euclid's Definition of Reason or Proportion.Access to Book Part 
23. CHAPTER: Lecture XIX. Of the Species and Differences of Geometrical Reason.Access to Book Part 
24. CHAPTER: Lecture XX. That Reasons are not Quantities.Access to Book Part 
25. CHAPTER: Lecture XXI. A Defence of Euclid's Definition of Proportionals in his fith BookAccess to Book Part 
26. CHAPTER: Lecture XXII. An Answer of the Objectious against Euclid's Definition of Proportionals.Access to Book Part 
27. CHAPTER: Lecture XXIII. An Answer to Borellus's Objections and of the Insufficiency of the Definitions of Proportionality which are substituted in the Room of Euclid's.Access to Book Part 
28. FIGURE: Fig. 1-11.Access to Book Part 
29. INDEX: Index of the Principal Matters Contained in this Work.Access to Book Part 
30. INDEX: Names Made Use of in this Work.Access to Book Part 

1. Marco Panza, What is new and what is old in Viète’s analysis restituta and algebra nova, and where do they come from ? Some reflections on the relations between algebra and analysis before Viète