Identifying the oblique projection type If the receding lines are drawn at true length and the projectors are at 45° to the plane of projection, what is this specific oblique method called?

Introduction / Context:
Oblique projection methods control how depth is represented. The choice affects visual realism and the readability of dimensions. Two common oblique types are Cavalier and Cabinet, which handle the depth (receding) axis differently.

Given Data / Assumptions:

• Receding lines are at true length (no scaling of depth).
• Projectors form a 45° angle to the projection plane.
• We are identifying the standard name for this setup.

Concept / Approach:
In Cavalier projection, the depth axis is not foreshortened; receding edges are drawn at full (true) length. In contrast, Cabinet projection halves the receding lengths (commonly to 1/2 scale) to reduce distortion. Both generally use 45° projectors for convenience, though other angles exist. Axonometric and isometric are different families of parallel projection with equal or proportional foreshortening on axes, not the oblique full-depth method described here.

Step-by-Step Solution:

Verification / Alternative check:
Sketch a cube: in Cavalier, the depth edges equal the front-face edges. In Cabinet, those depth edges appear half as long. Visual comparison confirms the type used.

Why Other Options Are Wrong:

• Cabinet projection: uses half-depth (or another scale), not true-depth.
• Axonometric projection: different class; equal or unequal foreshortening on axes, not full-depth at 45°.
• Isometric projection: a type of axonometric with equal 120° axis spacing and uniform foreshortening.

Common Pitfalls:

• Calling any 45° oblique drawing “Cabinet” without checking depth scaling.
• Dimensioning scaled depth graphically instead of stating numeric depth values.

Final Answer:
Cavalier projection