Euclid — "The only purpose of the 'Elements' is to demonstrate mathematically certain fund…"
The only purpose of the 'Elements' is to demonstrate mathematically certain fundamental propositions.
The only purpose of the 'Elements' is to demonstrate mathematically certain fundamental propositions.
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"The greatest of the parts is called the antecedent, and the less the consequent."
"In isosceles triangles the angles at the base are equal to one another, and, if the equal straight lines be produced further, the angles under the base will be equal to one another."
"A surface is that which has length and breadth only."
"Parallelograms which are on the same base and in the same parallels are equal to one another."
"To draw a straight line from any point to any point."
Interpretive summary of his work's intent, not a direct quote but reflecting the nature of 'Elements'. Direct philosophical statements by Euclid are extremely rare.
Date: c. 300 BCE (implied)
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