ENJOY MATHEMATICS in 3D

Let's create surfaces of three-dimensional figures by moving line segments!


A line segment moving along the circumference of a circle

Gathering line segments vertical to the circumference

Gather line segments vertical to the circumference. The circle and line segments can be observed from various angles. What kinds of figures can be created?

Cabri3D File Cabri3D File Flash Movie

Gathering line segments linking points on the circumference and vertexes

Gather line segments linking points on the circumference and vertexes. The circle and line segments can be observed from various angles. What kinds of figures can be created?

Cabri3D File Cabri3D File Flash Movie

A line segment moving along the perimeter of a square

Gathering line segments vertical to the perimeter of a square

Gather line segments vertical to the perimeter of the square. What kinds of figures can be created? When a line segment is not vertical, what figure is created?

Cabri3D File Cabri3D File Flash Movie

Gathering line segments of a fixed angle along the perimeter of a square

Gather line segments of the fixed angle along the perimeter of the square. What kinds of figures can be created?

Cabri3D File Cabri3D File Flash Movie

Gathering line segments linking points on the perimeter of a square and vertexes

Gather line segments linking points on the perimeter of the square and vertexes. What kinds of figures can be created? When the vertex's location is moved, what kind of a figure is created?

Cabri3D File Cabri3D File Flash Movie

In addition, are there any common and different points regarding the created figures and their methods of creation when the already created figures are compared?

Cabri3D File Cabri3D File Flash Movie
Let's create three-dimensional figures by moving plane figures parallel! Let's create three-dimensional figures by rotating plane figures! Let's create surfaces of three-dimensional figures by moving line segments!
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