Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S.
- Title
- Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S.
- Author
- Sturm, Johann Christophorus, 1635-1703.
- Publication
- London :: Printed for Robert Knaplock and Dan. Midwinter and Tho. Leigh,
- 1700.
- Rights/Permissions
-
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- Subject terms
- Mathematics -- Early works to 1800.
- Geometry -- Early works to 1800.
- Algebra -- Early works to 1800.
- Link to this Item
-
https://name.umdl.umich.edu/A61912.0001.001
- Cite this Item
-
"Mathesis enucleata, or, The elements of the mathematicks by J. Christ. Sturmius ; made English by J.R. and R.S.S." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A61912.0001.001. University of Michigan Library Digital Collections. Accessed June 16, 2024.
Contents
- title page
- The AUTHOR's PREFACE TO THE READER, Containing a SYNOPSIS of his Method.
- ADVERTISEMENT.
- publisher's advertisement
-
Mathesis Enucleata: OR, The Elements of the Mathematicks. Book I.-
Explaining the First Principles of the Mathematicks; among which are (in the first place)
Definitions, and someConsectaries that flow from them.-
CHAP. I. Containing the Definitions or Explications of the Terms which relate to the Object ofMathematicks. -
DEFINITION I. -
DEFINITION II. -
DEFINITION III. -
DEFINITION IV. -
DEFINITION V. -
DEFINITION VI. -
DEFINITION VII. -
DEFINITION VIII. -
DEFINITION IX. -
DEFINITION X. -
DEFINITION XI. -
DEFINITION XII. -
DEFINITION XIII. -
DEFINITION XIV. -
DEFINITIOF XV. -
DEFINITION VI. -
DEFINITION XVII. -
DEFINITION XVIII. -
DEFINITION XIX. -
DEFINITION XX. -
DEFINITION XXI. -
DEFINITION XXII.
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-
CHAP. II. Containing the Explication of those terms, which relate to the affections of the Objects of the Mathematicks.
-
-
Explaining the First Principles of the Mathematicks; among which are (in the first place)
-
Book I.
-
Section II. Containing several Propositions demonstrated from the foregoing Foundations.-
CHAP. I. Of the Composition and Division of Quantities. -
CAAP. II. Of the Powers of QUANTITIES. -
CHAP. III. Of Progression, or Arithmetical Proportionals. -
CHAP. IV. Of Geometrical Proportion in General. -
CAAP. V. Of the Proportion or Reasons of Magnitudes of the same kind in particular. -
CHAP. VI. Of the Proportions of Magnitudes of divers sorts com∣pared together. -
CHAP. VII. Of the Powers of the Sides of Triangles, and other Regular Figures,&c.
-
-
- THE SECOND BOOK.
-
BOOK II.
-
SECTION II.
-
CHAP. I. Of the chief Properties of the Conick Sections. -
CHAP. II. Of Parabolical, Hyperbolical and Elliptical Spaces. -
CHAP. III. Of Conoids and Spheroids. -
CHAP. IV. Of Spiral Lines and Spaces. -
CHAP. V. Of the Conchoid, Cissoid, Cycloid, Quadratrix,&c. -
CHAP. VI. The Conclusion, or Epilogue of the whole Work.
-
-
SECTION II.
- title page
- THE PREFACE TO THE READER.
- INTRODUCTION TO SPECIOUS ANALYSIS.
-
SOME EXAMPLES OF SPECIOUS ANALYSIS, In each kind of Equations.
-
I. In Simple Equations. -
II. Some Examples of simple or pure Quadratick Equations.- PROBLEM I.
- PROBLEM II.
- PROBLEM III.
- PROBLEM IV.
-
PROBLEM V. (Which is in
Pappus Alexandrinus, and inCartes 's Geometry, p. 83. in a Biquadratick affected E∣quation, and p. 84. he gives us thereon a very remarkable Note.) -
PROBLEM VI. (Which
Van Schooten has in hisComment, p. m. 150, and following.) - PROBLEM VII.
-
III. Some Examples of Affected Quadratick Equations. -
IV. Some Examples of Affected Biquadratick Equa∣tions, but like Affected Quadratick ones.
-
- APPENDIX.
- table of contents