Euclid — "And the whole is greater than the part."
And the whole is greater than the part.
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More from Euclid
"If four magnitudes be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means."
"Trilateral figures are those contained by three straight lines, quadrilateral those contained by four, and multilateral those contained by more than four straight lines."
"A diameter of the circle is any straight line drawn through the center and terminated in both directions by the circumference of the circle, and such a straight line also bisects the circle."
"The greatest of the parts is called the antecedent, and the less the consequent."
"Let it be granted that all right angles are equal to one another."
Details
Common Notion 5 from 'The Elements'. A foundational axiom with broad philosophical implications.
Date: c. 300 BCE
PhilosophicalVerification
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