Pythagoras' theorem
Right triangle rule
Pythagoras' theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Expressed as a² + b² = c², it's fundamental to geometry and has countless practical applications in construction, navigation, and physics.
The theorem predates Pythagoras but bears his name in Western tradition.
Longest right-triangle side
- right triangleThree-sided, one perpendicular corner
- legsLocomotion appendages below torso
- sidesLateral edges or teams
- EuclideanFlat-space geometry type
perpendicular · adjacent · opposite · distance · measurement · formula · calculation · computation
Opposite over hypotenuse
- cosineRatio in triangle math
- tangentLine touching curve once
- unit circleRadius-one circle at origin
- angleGeometric measure of rotation
Foundational geometry and number theory text
- geometric proofLogical derivation using figures
- demonstrationPublic display of opinion
- propositionStatement expressing a judgment
- corollaryLogical natural consequence
deductive reasoning · logical deduction · rigor · QED · waterproof · converse
Measuring and charting terrain
- navigationDetermining position and course
- constructionProcess of building something
- architectureBuilding design discipline
- carpentryWood construction trade
slope · land measurement · engineering · GPS · triangulation · building · roofing
Educational instruction space
- textbookAcademic subject manual
- curriculumEducational program's content plan
- lessonUnit of teaching
- homeworkStudent assignments for outside class
exam · blackboard · chalk · teacher · student · learning · mathematics · algebra
Having volume and depth
- generalizationDeriving principles from examples
- law of cosinesTriangle side-angle relation
- n-dimensionalHaving arbitrary spatial axes
- normAccepted behavioral standard
hypotenuse
Longest right-triangle side
- right triangleThree-sided, one perpendicular corner
- legsLocomotion appendages below torso
- sidesLateral edges or teams
Euclidean · perpendicular · adjacent · opposite · distance · measurement · formula · calculation · computation · square root
sine
Opposite over hypotenuse
- cosineRatio in triangle math
- tangentLine touching curve once
- unit circleRadius-one circle at origin
angle · opposite · adjacent · hypotenuse · right-angled
Euclid's Elements
Foundational geometry and number theory text
- geometric proofLogical derivation using figures
- demonstrationPublic display of opinion
- propositionStatement expressing a judgment
corollary · deductive reasoning · logical deduction · rigor · QED · waterproof · converse
surveying
Measuring and charting terrain
- navigationDetermining position and course
- constructionProcess of building something
- architectureBuilding design discipline
carpentry · slope · land measurement · engineering · GPS · triangulation · building · roofing
classroom
Educational instruction space
- textbookAcademic subject manual
- curriculumEducational program's content plan
- lessonUnit of teaching
homework · exam · blackboard · chalk · teacher · student · learning · mathematics · algebra · problem-solving
three-dimensional
Having volume and depth
- generalizationDeriving principles from examples
- law of cosinesTriangle side-angle relation
- n-dimensionalHaving arbitrary spatial axes
Pythagoras, Pythagorean, theorem, theorems, theoretic, theoretical, theoretically, theoretician, theory