Euclid — "Give him threepence, since he must make a gain out of what he learns."
Give him threepence, since he must make a gain out of what he learns.
Give him threepence, since he must make a gain out of what he learns.
Click any product to generate a realistic preview. Up to 3 at a time.
* Initial load can take up to 90 seconds — revising the preview in another color is nearly instant.
"There are infinitely many prime numbers."
"Further, of trilateral figures, a right-angled triangle is that which has a right angle, an obtuse-angled triangle that which has an obtuse angle, and an acute-angled triangle that which has its three…"
"When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular …"
"Sire, there is no royal road to geometry."
"If four magnitudes be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means."
Reputed remark to his servant when a student, after learning the first proposition, inquired, 'What do I get by learning these things?'
Date: c. 300 BCE
ShockingFound in 1 providers: gemini
1 source checked
When a student asked what he would gain from studying geometry, Euclid sarcastically ordered a servant to pay the student three coins — implying that anyone who learns only for material reward fundamentally misunderstands education. Knowledge is intrinsically valuable. Learning has worth beyond career or profit. Those who cannot appreciate a subject without monetary motivation are missing the entire point of intellectual pursuit.
Euclid's entire career embodied knowledge pursued for logical perfection, not utility. His Elements — thirteen books of rigorous proofs — was structured for mathematical elegance, not practical engineering. When King Ptolemy I reportedly asked for a shortcut to geometry, Euclid famously replied there is no royal road. This quote mirrors that same conviction: neither wealth nor rank excuses someone from genuine engagement. Euclid measured students solely by their love of truth.
Around 300 BCE in Alexandria, Ptolemy I built the great Library and Mouseion, attracting scholars with royal patronage. Greek philosophical tradition — especially Plato — held that mathematics was the purest form of reasoning, divorced from material concerns. Yet as education became more institutional under Ptolemaic support, students increasingly sought practical returns. Euclid's quip pushed back against this transactional attitude, defending the ideal that geometry trains the mind toward eternal, abstract truth.
AI-generated insights based on extensive research and information for context. Factual errors? Email [email protected].
Your cart is empty