COURSE OF SOLID GEOMETRY – ENGLISH – CHAPTER 7

COURSE OF SOLID GEOMETRY – CHAPTER 7 PART 1

Pyramids – Definitions

Pyramids – Definitions:

Definitions:

Pyramid

Base

Faces

Apex

Pyramid

Lateral Edges

Base Edges

Base Surface

Lateral Surface

Total Surface

Pyramid Height

Right Pyramid

Regular Pyramid

NonRegular Pyramid

Oblique Pyramid

Types of Pyramids

Lateral Edges

Lateral Faces

Regular Polyhedron – Tetrahedron

Metric Relationships

 

 

COURSE OF SOLID GEOMETRY – CHAPTER 7 – PART 2

Pyramids – Properties

Pyramids – Properties:

Property a: Section by a Plane

Property b: Plane Section

Property c: Perimeter Ratio

Property d: Ratio between Areas between Plans

Corollaries Resulting from Properties

 

 

COURSE OF SOLID GEOMETRY – CHAPTER 7 – PART 3

Areas of Pyramids

Areas of Pyramids:

Lateral Area of a Regular Pyramid

Total Area of a Regular Pyramid

Volumes of Pyramids

Corollaries on Pyramids Volumes

 

 

COURSE OF SOLID GEOMETRY – CHAPTER 7- PART 4

Prisms – Parallelepipeds

Definitions:

Parallelepipeds

Opposite Faces

Right Parallelepipeds

Oblique Parallelepipeds

Rectangular Parallelepipeds

Dimensions of a Rectangular Parallelepipeds

Definition of a Cube

 

COURSE OF SOLID GEOMETRY – CHAPTER 7 – PART 5

Prisms – Properties of Parallelepipeds

Definitions:

Properties of Opposite Faces

Equal Parallelepipeds

Plane Section

Diagonals of Parallelepipeds

Rectangles Parallelepipeds

Diagonals of a Cube

Equivalents Parallelepipeds

 

COURSE OF SOLID GEOMETRY – CHAPTER 7 – PART 6

Side Area and Total Area of a Prism

Definitions:

Lateral Area

Total Area

Lateral Area of a Oblique Prism

Lateral Area of a Right Prism

Total Area of a Prism

Lateral and Total Area of Rectangle Parallelepipeds

Lateral Area and Total Area of a Cube

 

 

COURSE OF SOLID GEOMETRY – CHAPTER 7 – PART 7

Volume of Prisms

Definitions:

Volume of Polyhedrons

Volume of Rectangle Parallelepipeds

Volume of Right Parallelepipeds

Volume of Cubes

Volume of Oblique Prisms

Volume of Oblique Parallelepipeds

Volume of Triangular Prisms

Volume of Any Prisms