# COURSE OF SOLID GEOMETRY – ENGLISH – CHAPTERS

COURSE OF SOLID GEOMETRY  – ENGLISH – INTRODUCTION

Presentation of the Contents of Each of the Chapters of the Course of Solid Geometry

COURSE OF SOLID GEOMETRY

Chapter 1

Basic Elements of Plane Geometry

Points, Lines and Planes

Definitions of Points

Definitions of Lines

Definitions of Planes

Postulates of Euclides

Postulates of Lines and Planes

Determining a Plane

Conclusions on Determining a Plan

COURSE OF SOLID GEOMETRY

Chapter 2

Lines and Planes

Intersection of Lines and Planes

Intersections of Planes

Lines and Planes Parallel

Parallelism between Line and Plane

Parallel Plans

Angles between Lines

Perpendicular Lines and Planes

Lines Perpendicular to a Plane

Postulates of Lines and Planes

Determining a Plane

Conclusions on Determining a Plan

COURSE OF SOLID GEOMETRY

Chapter 3

Dihedral Angle

Consequences of Theorems

COURSE OF SOLID GEOMETRY

Chapter 4

Trihedral and Polyhedral Solid Angles

Trihedrons and Polyhedrons

Corollaries Resulting from Theorems

Equalities of Trihedrons

Cases of Equalities of Trihedrons

Supplementary Trihedrons Construction,

Solid Angles Properties

COURSE OF SOLID GEOMETRY

Chapter 5

Review of the Plane Geometry – Polygons

Concave Polygons and Convex Polygons

Regular and Non-Regular Polygons

Important Structures of the Polygons

Plane Geometry – Polygons

Relations between Elements of the Lateral Triangle

Table of Values for Central Angles of the Polygons

Sum of the External Angles of the Polygons

Sum of the Internal Angles of the Polygons

Number of Diagonals

Values of the Angles in a Regular Polygon

Regular Polygons:

Hexagon

Triangle

Dodecahedron

Square

Octagon

Decagon

Pentagon

Heptagon

Nonagon

Undecagon

Final Considerations on Polygons

COURSE OF SOLID GEOMETRY

Chapter 6

Prismatic Surfaces and Their Elements

Denomination of Prisms

Parallelepipeds, Right, Oblique, Rectangular

Dimensions of a Rectangular Parallelepipeds and Cubes

Properties of Parallelepipeds

Properties of Right and Oblique Prisms

Volume of Prisms  and Parallelepids

COURSE OF SOLID GEOMETRY

Chapter 7

Prismatic Surfaces and Their Elements

Denomination of Prisms

Parallelepipeds, Right, Oblique, Rectangular

Dimensions of a Rectangular Parallelepipeds and Cubes

Properties of Parallelepipeds

Properties of Right and Oblique Prisms