Development of Oblique Solids (Leaving Cert DCG): Flashcards

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Development of Oblique Solids
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Oblique solid

3D shape where edges/sides not perpendicular to base

Development (net) of a solid

Flat pattern when solid is unfolded onto a plane

True length

Actual measurement of edge in 3D space, not foreshortened

Three main views for oblique solids

Plan view, elevation view, and development

Foreshortening

Edges appear shortened in views due to perspective

Generators in cylinders/cones

Straight lines running along curved surface of solid

Construction method for cone development

Radial construction from apex point

Oblique pyramid edge lengths

Each base-to-apex edge has different true length

Construction sequence for oblique solids

Plan→elevation→find true lengths→construct development

Why not measure directly from plan/elevation views

Foreshortening makes development inaccurate and unfoldable

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