Elementary Differential Geometry Curves and Surfaces by Martin Raussen

ContentsChapter 1. Plane and Space: Linear Algebra and Geometry 51. Vectors and Products 52. Description of Lines and Planes 133. Orthogonal Projections, Distances and Angles 254. Change of Coordinate Systems 36Chapter 2. Curves in plane and space 471. Vector functions in one variable 472. Parametrized Curves 503. Curvature 624. Space Curves: Moving Frames and Torsion 785. How to use the geometric laboratory – an example 92Chapter 3. Regular Surfaces 951. Parametrizations of surfaces 952. Measurement in curved coordinates: the 1. fundamental form 1083. Normal sections and normal curvature 1184. Normal…

Conic Sections Treated Geometrically by W. H. Besant

CONTENTS.pageIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1CHAPTER I.The Construction of a Conic Section, and GeneralProperties . . . . . . . . . . . . . . . . . . . . . . . . . . 3CHAPTER II.The Parabola . . . . . . . . . . . . . . . . . . . . . .…