Euclidean geometry
1
6.5
- noun
- /juˈklidɪən dʒiˈɒmətri/
- Specialized
:
geometría euclidiana
- This is an algebraic statement of Euclidean geometry, and it applies only to spaces that are linear and congruent.
You can't, you can't use ordinary notions of Euclidean geometry on space-time.
- You can't, you can't use ordinary notions of Euclidean geometry on space-time.
- This is just the intrinsic geometry of this space, and we're going to go back as we did with Euclidean geometry.
Examples
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Hour 4's goal was to master the beginning theorems of Euclidean geometry, and the learning programs ticked off, carefully leading him along to enter the correct answers and providing more detailed explanations when he was wrong.
Fiction book (1990) -
It's the basic foundation of Euclidean geometry.
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He used the example of geometry, where Euclidean geometry was used to describe space, even though it was not the only correct method.
Blog text (17) -
Euclidean geometry requires idealizations like infinite straight lines and perfect circles, and its deductions are sound and useful even though the world does not really have infinite straight lines or perfect circles.
Academic text (1998) -
All corporeal things will assume the shapes intelligible to Euclidean geometry: rectangles, circles, spheres, cubes, cylinders.
Fiction book (1998) -
In high school, we learned about the basic principles of Euclidean geometry in our math class.
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The rules of Euclidean geometry allow us to understand the relationships between shapes on a flat surface.
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Many architectural designs are influenced by Euclidean geometry, utilizing shapes like rectangles and triangles.
Surface Forms
Morphology
The noun phrase is compositionally built: 'Euclidean' qualifies the type of 'geometry' as the geometry associated with Euclid or with flat/plane space, so the overall meaning follows directly from the constituents. The adjective+noun pattern and the cross-linguistic use of the eponymous term make this immediately interpretable to a B1 learner who knows both words.
Etymology
Euclidean geometry comes from the name of the Greek teacher Euclid, who wrote simple rules about points, lines and shapes long ago. He worked with a flat surface, like drawing on a piece of paper, so the term now means the kind of geometry for 'flat' or 'plane' space.