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This guide delves into auxiliary views and how they relate to principal planes in orthographic projections. Auxiliary planes are crucial for visualizing inclined or oblique planes that aren't parallel to any of the principal planes (Front, Horizontal, Profile). It covers primary auxiliary views projected from orthographic views using reference planes that are perpendicular and inclined. Additionally, it explains the height, depth, and width auxiliary views, along with the concept of secondary auxiliary views. Clear visual examples, including the unfolding of a glass box, illustrate these principles effectively.
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Auxiliary Views • Recall: • principal planes (F, H, P) give principal orthographic views • Auxiliary plane • a projection plane that is not parallel to any of the principal planes • gives auxiliary view • used to show true size of inclined or oblique planes
Auxiliary view Top Right Front
Object in glass box, and resulting six views when the box is unfolded
Primary Auxiliary Views • Projected from a principal orthographic view using a primary auxiliary plane • Primary auxiliary reference plane (ARP) is perpendicular to one of the principal planes but inclined with the other two • Folding-Line Model • Think of auxiliary planes as planes that fold from principal planes
Unfolding the glass box to create an auxiliary view of the inclined plane
Height Auxiliary View • Projected from the top view • Use heights of points from the horizontal reference plane
Height Auxiliary View: Steps • Projected from the top view • Use heights of points from the horizontal reference plane
Depth Auxiliary View • Projected from the front view • Use depths of points behind the frontal reference plane
Width Auxiliary View • Projected from the right view • Use widths of points with respect to the profile plane
Secondary Auxiliary Views • Projected from a primary auxiliary view • Used to show true size of oblique planes • Secondary auxiliary reference plane (ARP2) is perpendicular to ARP1 • Use distance of point from ARP1 (same in secondary auxiliary view as in principal orthographic view)