Euclid's third axiom
- noun
- /ˈjuːklɪdz θɜrd ˈæksɪəm/
- Specialized
:
tercer axioma de Euclides
- According to Euclid's third axiom, a circle can be drawn around any point.
Examples
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According to Euclid's third axiom, you can draw a circle of any size at any location.
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In geometry class, the teacher explained Euclid's third axiom using a compass and a piece of paper.
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When proving the theorem, we relied on Euclid's third axiom to construct the required circle.
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Have you studied Euclid's third axiom in your geometry class?
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In geometry class, the teacher explained Euclid's third axiom using a compass and a piece of paper.
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According to Euclid's third axiom, you can draw a circle of any size at any location.
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When proving the theorem, we relied on Euclid's third axiom to construct the required circle.
Surface Forms
Morphology
This phrase is a label for a specific named principle (Euclid's third axiom); knowing the parts 'Euclid's' (a name), 'third' (ordinal) and 'axiom' (fundamental statement) only signals that it is the third axiom attributed to Euclid but gives no information about its content (that a circle can be drawn around any point). The propositional meaning is factual knowledge about geometry that must be learned, so it is not derivable from the constituents.
Etymology
Euclid's third axiom is a basic rule that says you can draw a circle with any radius around any point, like putting a compass on a spot and making a ring of any size. So, this rule explains why in geometry you can 'draw a circle' whenever a proof or construction needs one.
