Auxiliary Projections and Change of Dihedral Planes

7 lessons

Goal

Transform general lines and planes into special positions using successive auxiliary reference planes to solve metric and spatial problems.

Foundations of Auxiliary Projection Planes

7 lessons

0 of 7 done

Foundations of Auxiliary Projection PlanesUp next
Transforming an Oblique Line to True Length via Auxiliary ViewsPremiumNot started yet
Projecting a Line as an End View (Point View)Not started yet
Transforming an Oblique Plane into an Edge ViewNot started yet
Determining the True Shape of a Plane via Secondary Auxiliary ViewsNot started yet
Finding the Dihedral Angle Between Intersecting PlanesNot started yet
Shortest Distance and Common Perpendicular of Skew LinesNot started yet

Standards Covered

Curriculum Framework

5 lessons

Represent points, line segments, and lines across horizontal, vertical, and profile projection planes using Monge's descriptive geometry.

4 lessons

Construct and analyze general and special-position planes, planar traces, and 2D figures embedded in 3D projection spaces.

5 lessons

Construct pictorial and curved-surface spatial representations using isometric, dimetric, trimetric, cylindrical, and spherical projections.

5 lessons

Solve spatial relationship problems involving intersections, parallelism, and perpendicularity between lines and planes in multi-view projections.

7 lessons

Transform general lines and planes into special positions using successive auxiliary reference planes to solve metric and spatial problems.

6 lessons

Apply spatial rotation and rabatment methods to find true metric properties, plane intersections, and planar sections of complex geometric solids.