Euclid — "For the things of the world cannot be made manifest without the knowledge of mat…"
For the things of the world cannot be made manifest without the knowledge of mathematics.
For the things of the world cannot be made manifest without the knowledge of mathematics.
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"A ratio is a sort of relation in respect of size between two magnitudes of the same kind."
"Things which coincide with one another are equal to one another."
"To cut off from the greater of two given unequal straight lines a straight line equal to the less."
"To draw a straight line from any point to any point."
"The square on the side subtending the right angle in right-angled triangles is equal to the squares on the sides containing the right angle."
Attributed, but likely a later philosophical interpretation rather than a direct quote.
Date: c. 300 BCE (attributed, likely later)
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