Integral Transforms glossary
Clear, one-line definitions of the Integral Transforms terms used across the OgbonLab textbooks. Each entry links to the interactive sections where the idea is taught.
7 terms
- congruence
- A relationship between two figures linked by an isometry; congruent figures have identical shape and size.
- dilation
- A transformation that scales every distance from a fixed center by the same factor; preserves angles but not lengths.
- See: Dilations, Reflections, and Other Transformations
- isometry
- A transformation of the plane (or space) that preserves the distance between every pair of points.
- See: What Is an Isometry?
- reflection
- An isometry that flips every point across a fixed line (the axis of symmetry).
- See: The Rock Physics of a Reflection, Reflection & transmission coefficients
- rotation
- An isometry that turns every point around a fixed center by the same angle.
- See: Principal Stresses and Rotation, Rotation as a Trigonometric Operation
- similarity
- A relationship between figures that are the same shape but possibly different size; linked by a dilation plus an isometry.
- translation
- An isometry that shifts every point by the same vector; no rotation, no stretching.
- See: Standard Plane Mappings: Translations, Rotations, Reflections