Solids with Axes Perpendicular to Reference Planes A solid with axes perpendicular to reference planes possesses a special property called orthogonality. Th...
Solids with Axes Perpendicular to Reference Planes
A solid with axes perpendicular to reference planes possesses a special property called orthogonality. This means that the axes of the solid lie parallel to and perpendicular to the reference planes.
Examples:
A cube resting on its face on a table.
A pyramid resting on its base on a plane.
A cone resting on its base on a plane.
Properties of Solids with Axes Perpendicular to Reference Planes:
The solid is symmetrical along the lines of the reference planes.
The solid can be projected onto the reference planes without distortion.
The projections of the edges and vertices of the solid will be parallel to the reference planes.
Applications of Solids with Axes Perpendicular to Reference Planes:
Orthogonal solids are used in various engineering applications, such as:
Structural analysis: They are used to model objects with complex shapes, such as bridges and buildings.
Mechanical engineering: They are used to design components of machines, such as gears and shafts.
Computer-aided design (CAD): They are used to create models of objects for computer-aided design and manufacturing.
Note: The concept of orthogonality is closely related to the concepts of parallelism and symmetry