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Kepler triangle

A Kepler triangle is a special right triangle with edge lengths in geometric progression. The ratio of the progression is φ {\displaystyle {\sqrt {\varphi }}} where φ = ( 1 + 5 ) / 2 {\displaystyle \varphi =(1+{\sqrt {5}})/2} is the golden ratio, and the progression can be written: 1 : φ : φ {\displaystyle 1:{\sqrt {\varphi }}:\varphi } , or…

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Map overview Semantic statistics

Kepler triangle

Nodes33
Edges32
Triples35
Avg. degree1.94
Density0.060606
Components1

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Kepler triangle

Top relations

related to history · 20
Kepler triangle → Abû Bekr, Arabic, Cremona, Fibonacci, Gerard, German, However, It, Johannes Kepler, Kepler, Latin, Liber, Magirus, Pedro Nunes, Practica, Pythagorean, Renaissance, The, The Kepler, Two
related to Definitions · 10
Kepler triangle → Because, Conversely, Greek, Kepler, Pythagorean, Squares, The, The Kepler, Therefore, These
related to Properties · 3
Kepler triangle → If, Kepler, The
is a · 1
Kepler triangle → special right triangle with edge lengths in geometric progression

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Important terminology

triangle kepler ratio displaystyle golden varphi right lengths progression two pythagorean geometric sqrt isosceles triangles inradius sides edge three side

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Kepler triangleis aspecial right triangle with edge lengths in geometric progression0.90text
the Great Pyramid of Gizainstance ofwith a doubled Kepler triangle as its cross-section accurately describes the design of Egyptian pyramids0.80text
Kepler trianglerelated to DefinitionsThe Kepler0.60section
Kepler trianglerelated to DefinitionsThe0.60section
Kepler trianglerelated to DefinitionsSquares0.60section
Kepler trianglerelated to DefinitionsPythagorean0.60section
Kepler trianglerelated to DefinitionsBecause0.60section
Kepler trianglerelated to DefinitionsConversely0.60section
Kepler trianglerelated to DefinitionsTherefore0.60section
Kepler trianglerelated to DefinitionsKepler0.60section
Kepler trianglerelated to DefinitionsThese0.60section
Kepler trianglerelated to DefinitionsGreek0.60section

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