Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:Ellipses appear when circles are viewed at an angle. In oblique drawings, circles on receding planes project as ellipses. A standard freehand technique is to inscribe the ellipse within a guiding rectangle, touching midpoints to manage width and height. This question checks knowledge of that practical method.
Given Data / Assumptions:
Concept / Approach:The bounding-rectangle method creates guide points (midpoints on each side) where the ellipse must be tangent, ensuring consistent major/minor axes proportions under the chosen foreshortening. This improves accuracy and symmetry compared with drawing an ellipse freehand without guides.
Step-by-Step Solution:
Sketch the receding plane and draw its bounding rectangle to the correct foreshortened dimensions.Mark the rectangle's side midpoints; these are tangency points.Lightly connect arcs through the tangency points to form a smooth ellipse.Darken the final outline; erase construction lines.Verification / Alternative check:Compare to ellipse templates or CAD-projected geometry; the inscribed ellipse closely matches the intended circle on the receding plane.
Why Other Options Are Wrong:The method is valid for cavalier, cabinet, and general oblique; it does not require a specific receding angle or isometric grids.
Common Pitfalls:Misplacing tangency points; unequal quadrant arcs; ignoring the foreshortening ratio leading to the wrong minor axis length.
Final Answer:Correct
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