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Book-I PLANCE GEOMETRY 1. CONCERNING CO-ORDINATES. 2. EXAMPLES. 3. RNING HOMOGENEITY. 4. TRANSFORMATION OF CO-ORDINATES. Book-II STRAIGHT LINE AND CIRCLE 1. STRAIGHT LINE. 2. Tue 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 OF THE SeconD DEGREE. 3. REDUCTION OF THE EQUATION OF THE SECOND DEGREE. 4. THE ELLIPSE. 5. Tue 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 CONIC 12. Secants Common to Two Conics Book-IV THE GENERAL THEORY OF CURVES 1. Tur 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.
Analytical Geometry has for its object the study of figures through the methods of algebraic calculation or analysis. The book Elements of Analytical Geometry of Two Dimensions by Briot & Bouquet teaches how to use algebra to understand and describe shapes like lines and curves on a flat surface. It covers important topics such as coordinate systems, conic sections, and transformations. The book is famous because of its clear explanations and careful approach, it helped many students learn the basics of analytic geometry and is still appreciated for its thorough and logical style.
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
The author Charles Auguste Briot and Jean-Claude Bouquet were two French mathematicians who studied at the École Normale Supérieure and spent their careers teaching and researching mathematics. Briot focused on topics like analysis, heat, and electricity, while Bouquet worked on geometry and functions. Together they wrote important books and papers on analytic geometry and elliptic functions.
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