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

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Rotation and Inclination of Right Solids
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Right solids

3D shapes with surfaces parallel to principal planes

Purpose of auxiliary views

Show true shape & size of rotated/inclined surfaces

Rotation (in right solids)

Solid turned around axis whilst remaining in same plane

Inclination (in right solids)

Solid tilted at an angle to a principal plane

α\alpha in rotation context

Angle of rotation

Tetrahedron

Triangular pyramid with four triangular faces

Generator (cone)

Straight line from apex to base circumference

True shape condition

Surfaces parallel to principal planes

Three principal planes

Horizontal, vertical, and profile planes

Three standard orthographic views

Front elevation, end elevation, plan view

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