Rotation and Inclination of Solids (Leaving Cert DCG): Flashcards

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Rotation and Inclination of Right Solids
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Definition of right solids

3D shapes with surfaces parallel to principal planes

Purpose of auxiliary views

Show true shape of rotated/inclined surfaces

Rotation (in DCG context)

Solid turned around axis whilst in same plane

Inclination (in DCG context)

Solid tilted at angle to a principal plane

3 standard orthographic views

Front elevation, end elevation, plan view

Surfaces not parallel to principal planes appear as

Foreshortened or distorted shapes

Symbol for angle of rotation

α\alpha

Tetrahedron

Triangular pyramid with 4 triangular faces

When surfaces appear in true shape

When parallel to principal planes

Generator (cone)

Straight line from apex to base circumference

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