Euclid
Alexandria's geometry teacher
Euclid was a Greek mathematician who lived around 300 BCE, known as the father of geometry.
His treatise *Elements* systematized mathematical knowledge and established the axiomatic method—building complex proofs from simple, self-evident principles.
Euclidean geometry, based on his work, describes flat space and remains foundational in mathematics education.
We learned Euclidean proofs in high school.
Demonstrated logical conclusion
- axiomSelf-evident starting principle
- postulateAssumed starting point
- polygonMultisided plane figure
- triangleThree-sided plane figure
angle · parallelogram · circumference · radius · diameter · hypotenuse · quadrilateral · perimeter
Demonstrated logical conclusion
- propositionStatement expressing a judgment
- lemmaBase form, or helper theorem
- corollaryLogical natural consequence
- deductionConclusion from premises
inference · logic · rigor · demonstration · QED · reasoning · syllogism · validity
Accepted without question
- cornerstoneFoundational building block
- fundamentalForming the base
- groundworkFoundational preparation for something
- bedrockSolid stone underground
principle · rigorous · deductive · systematic · self-evident · logical · framework · basis
Egyptian Mediterranean port
- HellenisticOf post-Alexander Greek civilization
- PtolemaicEarth-centered astronomical system
- GreekOf Athenian origin
- classicalOf ancient Greece/Rome
antiquity · papyrus · scrolls · Library · scholar · mathematician · ancient · Mediterranean
Ancient Greek mathematician
- ArchimedesGreek polymath, physicist
- ThalesFirst Western philosopher
- ApolloniusHellenistic geometry master
- PtolemyGreco-Egyptian astronomer, geographer
theorem
Demonstrated logical conclusion
triangle · angle · parallelogram · circumference · radius · diameter · hypotenuse · quadrilateral · perimeter · congruence
theorem
Demonstrated logical conclusion
- propositionStatement expressing a judgment
- lemmaBase form, or helper theorem
- corollaryLogical natural consequence
deduction · inference · logic · rigor · demonstration · QED · reasoning · syllogism · validity · argument
axiomatic
Accepted without question
- cornerstoneFoundational building block
- fundamentalForming the base
- groundworkFoundational preparation for something
bedrock · principle · rigorous · deductive · systematic · self-evident · logical · framework · basis · underpinning
Alexandria
Egyptian Mediterranean port
- HellenisticOf post-Alexander Greek civilization
- PtolemaicEarth-centered astronomical system
- GreekOf Athenian origin
classical · antiquity · papyrus · scrolls · Library · scholar · mathematician · ancient · Mediterranean · Egypt
Pythagoras
Ancient Greek mathematician
- ArchimedesGreek polymath, physicist
- ThalesFirst Western philosopher
- ApolloniusHellenistic geometry master
- MathematiciansGauss, Euler, Archimedes, Pythagoras, Fermat
- Ancient GreeksSocrates, Plato, Aristotle, Homer, Pericles
- Ancient ScholarsPlato, Aristotle, Pythagoras, Archimedes, Ptolemy
- Hellenistic FiguresAlexander the Great, Ptolemy, Eratosthenes, Archimedes, Epicurus
- ancient worldancient Greece, ancient Rome, ancient Egypt, pyramids, pyramid
- ancient GreeceAthens, Sparta, Zeus, Parthenon, Acropolis
EuclidArchimedes
Greek polymath, physicist
Aristotle · experimentalist · engineer · empiricist · Galileo
- Euclidean geometryStudy of flat planes
- Euclid's ElementsFoundational geometry and number theory text
- Euclid's algorithmProcedure for greatest common divisor