New Plane and Solid Geometry

An Unabridged Printing, To Include Over 400 Figures: INTRODUCTION - Elementary Definitions - The Demonstrations Of Geometry - Preliminary Propositions - PLANE GEOMETRY - RECTILINEAR FIGURES - Triangles - Parallels And Parallelograms - Problems - Loci Of Points - EQUALITY OF POLYGONS - Theorems - Problems - Practical Mensuration - CIRCLES - Definitions - Central Angles - Chords And Tangents - Angles Formed By Chords, Secants, And Tangents - Inscribed Aand Circumscribed Triangles And Quadrilaterals - Two Circles - Problems - Methods - RATIO AND PROPORTION - Fundamental Properties - The Theory Of Limits - A Pencil Of Lines Cut By Parallels - A Pencil Cut By Antiparallels Or By A Circumference - Similar Figures - Problems - MENSURATION OF PLANE FIGURES, REGULAR POLYGONS AND THE CIRCLE - The Mensuration Of Plane Figures - The Partition Of The Perigon - Regular Polygons The Mensuration Of The Circle - APPENDIX TO PLANE GEOMETRY - Supplementary Theorems In Mensuration - Maxima And Minima - Concurrence And Collinearity - SOLID GEOMETRY - LINES AND PLANES IN SPACE- The Position Of A Plane In Space - The Straight Lines As The Intersection Of Two Planes - The Relative Position Of A Line And A Plane - Pencil Of Planes - Polyhedral Angles - Problems - Polyhedra - General And Regular Polyhedra - Parallelepipeds - Prismatic And Pyramidal Space - Prisms And Pyramids - The Mensuration Of The Prism - The Mensuration Of The Pyramid - THE CYLINDER, CONE, AND SPHERE - Similar Solids - The Cylinder - The Cone - The Sphere - The Mensuration Of The Sphere - Similar Solids - TABLES - Numerical Tables - Biographical Table - Table Of Etymologies - Comprehensive Index