Oblique projection clarification — In the cavalier oblique method used in technical sketching and engineering graphics, is the receding (depth) axis drawn at half scale or full scale? State the correct rule and identify the standard practice.

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
In oblique projection, two common conventions are used: the cavalier method and the cabinet method. Understanding how depth (the receding axis) is scaled in each method is fundamental for accurate freehand sketches and CAD drawings that communicate shape without misleading distortion.


Given Data / Assumptions:

  • Statement under test: "In cavalier oblique projection, the depth is represented at half scale."
  • Standard oblique families: cavalier (full-scale depth) and cabinet (half-scale depth).
  • Orthographic dimensions on axes parallel to the projection plane remain true size.


Concept / Approach:
The distinction between cavalier and cabinet focuses on the scale applied to the receding axis. Cavalier keeps the depth axis at 1:1 (full scale), while cabinet reduces it to 1:2 (half scale) to visually temper distortion. Circles on planes parallel to the projection plane remain true circles; those on receding planes appear as ellipses.


Step-by-Step Solution:
1) Identify projection family: given as "cavalier".2) Recall the rule: cavalier uses full-scale depth; cabinet uses half-scale depth.3) Compare with the statement claiming "half scale" for cavalier.4) Since half scale pertains to cabinet, the statement is incorrect.


Verification / Alternative check:
Quick mnemonic: "Cabinet cuts depth" (C-a-b-i-n-e-t → C-u-t). Therefore, cabinet halves the receding dimension; cavalier does not.


Why Other Options Are Wrong:

  • Correct: Wrong because the statement is not correct for cavalier.
  • Ambiguous in general practice: Standards clearly differentiate cavalier vs cabinet; not ambiguous.
  • Depends on chosen drawing scale: Global drawing scale is separate from the oblique convention; the convention fixes the depth scaling rule.
  • Not applicable to oblique drawings: The rule is specifically about oblique drawings.


Common Pitfalls:
Confusing cabinet with cavalier; assuming any foreshortening value is acceptable; forgetting that axes parallel to the projection plane remain true size while the receding axis may be scaled by convention.


Final Answer:
Incorrect

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