Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The method is not limited to familiar flat, or Euclidean, spaces.

From Science Daily • Jan. 7, 2026

Within the realm of two dimensions, geometry deals with properties of points, lines, figures, surfaces: The Euclidean plane is flat and therefore displays zero curvature.

From New York Times • Jan. 15, 2024

Manifolds are objects that on a zoomed-in, ‘local’ scale appear indistinguishable from the plane or higher-dimensional space described by Euclidean geometry.

From Scientific American • Mar. 28, 2022

Does democracy follow from the Constitution like a proof of Euclidean geometry?

From Slate • Aug. 6, 2018

Again, if we knew how the Euclidean curved space-times in the sum over histories behaved at early times, we would know the quantum state of the universe.

From "A Brief History of Time: And Other Essays" by Stephen Hawking