Analytical Geometry of Two Dimensions by Briot & Bouquet
Analytical Geometry of Two Dimensions - Table of Contents
Book-I PLANE GEOMETRY
- 1. Concerning Co-ordinates
- 2. Examples
- 3. Concerning Homogeneity
- 4. Transformation of Co-ordinates
Book-II STRAIGHT LINE AND CIRCLE
- 1. Straight Line
- 2. The Circle
- 3. Geometrical Loci
Book-III CURVES OF THE SECOND DEGREE
- 1. Construction of Curves of the Second Degree
- 2. Center, Diameters, and Axes of Curves
- 3. Reduction of the Equation
- 4. The Ellipse
- 5. The Hyperbola
- 6. Concerning the Parabola
- 7. Foci and Directrices
- 8. The Conic Sections
- 9. The Determination of the Conic Sections
- 10. Theory of Poles and Polars
- 11. General Properties of Conics
- 12. Secants Common to Two Conics
Book-IV THE GENERAL THEORY OF CURVES
- 1. The Construction of Curves in Rectilinear Co-ordinates
- 2. Convexity and Concavity
- 3. Asymptotes
- 4. Construction of Curves in Polar Co-ordinates
- 5. Concerning Similitude
- 6. Graphic Solution of Equations
- 7. Notions Concerning Unicursal Curves
What You Will Learn in Analytical Geometry of Two Dimensions
In Elements of Analytical Geometry of Two Dimensions, distinguished 19th-century French mathematicians Charles Briot and Jean-Claude Bouquet present a clear, systematic exposition of plane analytic geometry. Unfolding logically from basic principles to advanced conic properties, this classic text covers Cartesian and polar coordinate systems, equations of the straight line, circle geometry, general properties of conics (ellipse, hyperbola, parabola), transformation of axes, tangent lines, and pole-polar relations.
Tailored for advanced mathematics students, classical geometers, and educators, Briot and Bouquet balance algebraic manipulation with geometric intuition. Readers are guided step-by-step through line intersecting dynamics, reduction of second-degree equations, asymptotic properties, and loci determination.
Celebrated for its lucid pedagogical approach, historical importance, and elegant geometric derivations, this volume stands as one of the best classical analytical geometry textbooks pdf available for self-study. It systematically equips quantitative students with foundational coordinate tools for mastering two-dimensional analytic geometry with confidence.
Book Details & Specifications
Title:
Analytical Geometry of Two Dimensions by Briot & Bouquet
Publisher:
Werner school book company
Year:
1896
Pages:
598
Type:
PDF
Language:
English
ISBN-10 #:
1295234017
ISBN-13 #:
978-1295234011
License:
Public Domain Work
Amazon:
Amazon
About the Author: Charles Auguste Briot
The author Charles Auguste Briot
(1817–1835) and Jean-Claude Bouquet (1819–1885) were eminent 19th-century French mathematicians and professors renowned for their fundamental contributions to function theory, differential equations, and geometry.
Co-authoring several classical treatises at the École Normale Supérieure, Briot and Bouquet produced timeless educational texts, creating an essential resource for scholars seeking a definitive analytical geometry of two dimensions by briot & bouquet pdf for historical and mathematical study.
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