Plane traces

SŠ11 min

Intersection lines of a plane with the image planes – and the check that they meet on the ground line.

○Not Started
3D – space
x₁₂π₁π₂ABCρp₁p₂X
Monge drawing
x₁₂π₂π₁p₁p₂

Orbit the space

Traces p₁ and p₂ always meet on the ground line – use it to check your work.
2

Theory

A plane is usually given by its traces – its intersection lines with the image planes. They are lines, which makes them easy to work with.

The ground trace p₁ is the intersection with π₁ (zero height there), the front trace p₂ is the intersection with π₂ (zero depth).

Both traces pass through the same point on the ground line. That is the fastest check: if your traces do not meet on x₁₂, something is wrong.

3

Step-by-step construction

3D – what happens in space
x₁₂π₁π₂
Drawing – what you draw
x₁₂π₂π₁
1 / 5
4

Practice

Build the construction yourself

3D – what you have
x₁₂π₁π₂
Your drawing
x₁₂π₂π₁

What is the next step?

1 / 4

Choose the step that comes next. The drawing only advances on a correct choice.

Check your understanding

1

What is the ground trace p₁ of a plane ρ?

2

Where do the traces p₁ and p₂ of one plane meet?

3

How many points determine a plane uniquely?

5

Downloadable material

A PDF for this lesson is in preparation.

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