Applied and Descriptive Geometry

Applied and Descriptive Geometry is the branch of engineering graphics that deals with solving spatial problems using geometric principles and graphical techniques. It encompasses both the foundational tools of applied geometry, such as constructing lines, angles, and tangents, and the more advanced methods of descriptive geometry, which involve representing and analyzing three-dimensional objects using two-dimensional projections.

Geometry Review

Geometry is a fundamental aspect of engineering graphics, providing the essential tools for accurately representing and analyzing shapes, dimensions, and spatial relationships. Engineers and designers rely on geometric principles to create precise technical drawings, define component features, and ensure manufacturability. This review covers key geometric concepts relevant to engineering graphics, including basic constructions, projections, transformations,...

Geometric Construction

Geometric Construction
Geometric construction is the process of creating precise shapes, angles, and dimensions using only basic tools like a compass, straightedge, and protractor, or in digital contexts, precise drawing tools within CAD software. Unlike freehand drawing, geometric construction follows strict rules and methods, relying on the principles of geometry to create accurate figures that maintain their...

Descriptive Geometry

Descriptive geometry is a discipline within engineering and technical drawing that focuses on representing three-dimensional objects using two-dimensional means. It was formalized by Gaspard Monge during the late 1700s as a systematic method to solve spatial problems by graphical construction rather than algebraic computation. At its heart, descriptive geometry is about projection—specifically, the accurate projection...

Geometry Review

Geometry is a fundamental aspect of engineering graphics, providing the essential tools for accurately...
Geometric Solids

Geometric Solids

Geometric solids are three-dimensional shapes that have depth, width, and height, forming the basis...
Tetrahedron

Tetrahedron

A tetrahedron is a type of polyhedron with four triangular faces, six edges, and four vertices. It’s t...
Octahedron

Octahedron

An octahedron is a polyhedron with eight triangular faces, twelve edges, and six vertices. It is the...
Dodecahedron

Dodecahedron

A dodecahedron is a polyhedron with twelve flat faces, thirty edges, and twenty vertices. Each face...
Euclid's Development of the Dodecahedron

Euclid's Development of the Dodecahedron

Euclid’s construction of the dodecahedron, as detailed in The Elements , specifically in Book XIII, i...
Thale's Theorem

Thale's Theorem

Thales' Theorem states that if a triangle is inscribed in a circle where one of its sides is the diameter...
Geometric Construction

Geometric Construction

Geometric construction is the process of creating precise shapes, angles, and dimensions using only...
Bisect a Line (Compass Method)

Bisect a Line (Compass Method)

To bisect a line segment using a compass and a straightedge, follow these steps: Place the compass...
Bisect an Angle (Compass Method)

Bisect an Angle (Compass Method)

To bisect a line segment using a compass and a straightedge, follow these steps: Place the compass...