A Kepler triangle is a special right triangle with edge lengths in geometric progression. The ratio of the progression is φ {\displaystyle {\sqrt {\varphi...

University of Tübingen in a letter to Kepler, his former student. The same year, Kepler wrote to Maestlin of the Kepler triangle, which combines the golden ratio...

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...

chosen such that r = √φ it generates a right triangle that is always similar to the Kepler triangle. The triangle inequality can be extended by mathematical...

Alternatively, the same triangles can be derived from the square triangular numbers. The Kepler triangle is a right triangle whose sides are in geometric...

astronomy History of physics Kepler orbit Kepler triangle Kepler–Bouwkamp constant Penrose tiling Radiation pressure "Kepler's decision to base his causal...

In astronomy, Kepler's laws of planetary motion, published by Johannes Kepler in 1609 (except the third law, and was fully published in 1619), describe...

from two golden triangles, and a dart is made from two gnomons. Golden rectangle Golden rhombus Kimberling's golden triangle Kepler triangle Lute of Pythagoras...

Chinese man gong diao tuning). Golden triangle – Triangle with sides in the golden ratio Kepler triangle – Right triangle related to the golden ratio Golden...

Pythagorean theorem Hsuan thu Inverse Pythagorean theorem Kepler triangle Linear algebra List of triangle topics Lp space Nonhypotenuse number Parallelogram...

Chapter 11, "Kepler triangle theory", pp. 80–91, for material specific to the Kepler triangle, and p. 166 for the conclusion that the Kepler triangle theory...

Right triangle 30-60-90 triangle Isosceles right triangle Kepler triangle Scalene triangle Quadrilateral – 4 sides Cyclic quadrilateral Kite Rectangle...

Kepler (1571 – 1630). Kepler conjecture Kepler triangle Kepler–Bouwkamp constant Kepler–Poinsot polyhedron Kepler's laws of planetary motion Kepler's...

geometry) Isosceles triangle Kepler triangle Reuleaux triangle Right triangle Sierpinski triangle (fractal geometry) Special right triangles Spiral of Theodorus...

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and...

Johnson circles Kepler triangle Kobon triangle problem Kosnita's theorem Leg (geometry) Lemoine's problem Lester's theorem List of triangle inequalities...

In plane geometry, the Kepler–Bouwkamp constant (or polygon inscribing constant) is obtained as a limit of the following sequence. Take a circle of radius 1...

approximating the "quadrature of the circle" can be achieved using a Kepler triangle. Doubling the cube is the construction, using only a straightedge and...

golden ratio. If this was the design method, it would imply the use of Kepler's triangle (face angle 51°49'), but according to many historians of science,...

Base:hypotenuse(b:a) ratios for the Pyramid of Khufu could be: 1:φ (Kepler triangle), 3:5 (3-4-5 Triangle), or 1:4/π Supposed ratios: Notre-Dame of Laon Golden rectangles...

45) and (10, 40). Arithmetic–geometric mean Average Golden ratio Kepler triangle If AC = a and BC = b. OC = AM of a and b, and radius r = QO = OG. Using...

1446\dots } . Consequently, the square on the middle-sized edge of a Kepler triangle is similar in perimeter to its circumcircle. Some believe one or the...

right triangle in which two of the medians are perpendicular to each other. median triangle Integer triangle Kepler triangle, a right triangle in which...

root-φ rectangle is divided by a diagonal, the result is two congruent Kepler triangles. Jay Hambidge, as part of his theory of dynamic symmetry, includes...

was written in 1597 by Maestlin on a letter he got from to Kepler about the Kepler triangle. Maestlin was one of the very few astronomers of the 16th century...

1+, Kepler+, DirectX 12 (11_0+) with WDDM 2.1 Shader Model 6.1 — GCN 1+, Kepler+, DirectX 12 (11_0+) with WDDM 2.3 Shader Model 6.2 — GCN 1+, Kepler+, DirectX...

solid with 26 faces, consisting of 8 equilateral triangles and 18 squares. It was named by Johannes Kepler in his 1618 Harmonices Mundi, being short for...

Kepler-1649c is an Earth-sized exoplanet, likely rocky, orbiting within the habitable zone of the red dwarf star Kepler-1649, the outermost planet of...

}}\approx 51.8273^{\circ },} the same as one of the angles of the Kepler triangle, a right triangle whose construction also involves the square root of the golden...

antiprism was first depicted by Johannes Kepler, as an example of the general construction of antiprisms. Kepler, Johannes (1619), "Book II, Definition...