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- Kepler_triangle abstract "A Kepler triangle is a right triangle with edge lengths in geometric progression. The ratio of the edges of a Kepler triangle are linked to the golden ratioand can be written: , or approximately 1 : 1.272 : 1.618. The squares of the edges of this triangle (see figure) are in geometric progression according to the golden ratio.Triangles with such ratios are named after the German mathematician and astronomer Johannes Kepler (1571–1630), who first demonstrated that this triangle is characterised by a ratio between short side and hypotenuse equal to the golden ratio. Kepler triangles combine two key mathematical concepts—the Pythagorean theorem and the golden ratio—that fascinated Kepler deeply, as he expressed in this quotation: Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratio. The first we may compare to a mass of gold, the second we may call a precious jewel. Some sources claim that a triangle with dimensions closely approximating a Kepler triangle can be recognized in the Great Pyramid of Giza.".
- Kepler_triangle thumbnail Kepler_triangle.svg?width=300.
- Kepler_triangle wikiPageID "13938136".
- Kepler_triangle wikiPageRevisionID "600888434".
- Kepler_triangle hasPhotoCollection Kepler_triangle.
- Kepler_triangle subject Category:Elementary_geometry.
- Kepler_triangle subject Category:Golden_ratio.
- Kepler_triangle subject Category:Johannes_Kepler.
- Kepler_triangle subject Category:Triangles.
- Kepler_triangle type Abstraction100002137.
- Kepler_triangle type Attribute100024264.
- Kepler_triangle type Figure113862780.
- Kepler_triangle type PlaneFigure113863186.
- Kepler_triangle type Polygon113866144.
- Kepler_triangle type Shape100027807.
- Kepler_triangle type Triangle113879320.
- Kepler_triangle type Triangles.
- Kepler_triangle comment "A Kepler triangle is a right triangle with edge lengths in geometric progression. The ratio of the edges of a Kepler triangle are linked to the golden ratioand can be written: , or approximately 1 : 1.272 : 1.618.".
- Kepler_triangle label "Driehoek van Kepler".
- Kepler_triangle label "Kepler triangle".
- Kepler_triangle label "Triángulo de Kepler".
- Kepler_triangle label "مثلث كيبلر".
- Kepler_triangle label "开普勒三角".
- Kepler_triangle sameAs Τρίγωνο_του_Κέπλερ.
- Kepler_triangle sameAs Triángulo_de_Kepler.
- Kepler_triangle sameAs Driehoek_van_Kepler.
- Kepler_triangle sameAs m.03cnrnr.
- Kepler_triangle sameAs Q2222878.
- Kepler_triangle sameAs Q2222878.
- Kepler_triangle sameAs Kepler_triangle.
- Kepler_triangle wasDerivedFrom Kepler_triangle?oldid=600888434.
- Kepler_triangle depiction Kepler_triangle.svg.
- Kepler_triangle isPrimaryTopicOf Kepler_triangle.
