- Creation of Geometric Solids_students
- 2.1 Creation of geometric solids from given elements
- 2.1.1 Prisms
- 2.1.2 Pyramids
- 2.1.3 Cylinders
- 2.1.4 Cones
- 2.1.5 Sphere
- 2.2 Existence and formation of geometric solids
- 2.2.1 Existence and formation of pyramids
- 2.2.2 Existence and formation of prisms
- 2.2.3 Existence and formation of solids of revolution
- 2.3.1 Projections of pyramids
Creation of Geometric Solids_students
- Autor:
- Daniela Bímová
This GeoGebra book contains propedeutic problems which basic principles are spatial solutions tending to constructins of geometric solids of given elements or leading to constructions of solids of given properties.
Obsah
2.1 Creation of geometric solids from given elements
2.1.1 Prisms
- 2.1.1 a) Construction of perpendicular regular tetragonal prism given by vertex A, axis o and height v
- 2.1.1 b) Construction of perpendicular regular tetragonal prism given by vertex A, plane of the square ABCD base and vertex B´
- 2.1.1 c) Perpendicular prism with rhombus base and its construction
- 2.1.1 d) Perpendicular hexagonal prism and its construction
2.1.2 Pyramids
- 2.1.2 a) Regular tetragonal pyramid and its construction
- 2.1.2 b) Regular hexagonal pyramid and its construction
- 2.1.2 c) Construction of regular tetragonal pyramid given by vertex A, points P, Q on axis o and height v
- 2.1.2 d) Regular octahedron and its construction
- 2.1.2 e) Regular tetrahedron with two edges on two inclined straight-lines
2.1.3 Cylinders
2.1.4 Cones
- 2.1.4 a) Construction of perpendicular rotational cone given by vertex V, plane of the circular base and point M on director circle
- 2.1.4 b) Construction of perpendicular rotational cone given by plane of the circular base, point M on director circle, point O on axis o, and height v
- 2.1.4 c) Construction of perpendicular rotational cone given by centre S of the circular base, vertex V and point Q on the lateral area of cone
2.1.5 Sphere
2.2 Existence and formation of geometric solids
2.2.1 Existence and formation of pyramids
- 2.2.1 a) Equidistant trees
- 2.2.1 b) Tetrahedron with congruent faces, but edges of different lengths
- 2.2.1 c) Tetrahedron with two opposite edges of the same length, but with no congruent faces
- 2.2.1 d) Polyhedron with same number fa faces as the number of vertices
- 2.2.1 e) Polyhedrons with triangular faces
2.2.2 Existence and formation of prisms
2.2.3 Existence and formation of solids of revolution
2.3.1 Projections of pyramids