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KEPLER TRIANGLE

  • Kepler triangle
  • Right triangle related to the golden ratio

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

    Kepler triangle

    Kepler triangle

    Kepler_triangle

  • Golden ratio
  • Number, approximately 1.618

    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

    Golden ratio

    Golden ratio

    Golden_ratio

  • Right triangle
  • Triangle containing a 90-degree angle

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

    Right triangle

    Right triangle

    Right_triangle

  • Special right triangle
  • Right triangle with a feature making calculations on the triangle easier

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

    Special right triangle

    Special right triangle

    Special_right_triangle

  • Triangle inequality
  • Property of geometry, also used to generalize the notion of "distance" in metric spaces

    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

    Triangle inequality

    Triangle inequality

    Triangle_inequality

  • Johannes Kepler
  • German astronomer and mathematician (1571–1630)

    Johannes Kepler (27 December 1571 – 15 November 1630) was a German polymath who was an astronomer, mathematician, astrologer, natural philosopher and music

    Johannes Kepler

    Johannes Kepler

    Johannes_Kepler

  • Square pyramid
  • Pyramid with a square base

    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

    Square pyramid

    Square pyramid

    Square_pyramid

  • Golden triangle (mathematics)
  • Type of isosceles triangle

    Golden rhombus Golden triangle (composition) Kimberling's golden triangle Kepler triangle Lute of Pythagoras Pentagram Elam, Kimberly (2001). Geometry of

    Golden triangle (mathematics)

    Golden triangle (mathematics)

    Golden_triangle_(mathematics)

  • Golden rectangle
  • Rectangle with side lengths in the golden ratio

    ratio of its two semi-axes corresponding to the golden ratio Kepler triangle – Right triangle related to the golden ratio Golden rhombus – Rhombus with diagonals

    Golden rectangle

    Golden rectangle

    Golden_rectangle

  • List of mathematical shapes
  • geometry) Isosceles triangle Kepler triangle Reuleaux triangle Right triangle Sierpinski triangle (fractal geometry) Special right triangles Spiral of Theodorus

    List of mathematical shapes

    List_of_mathematical_shapes

  • List of two-dimensional geometric shapes
  • Right triangle 30-60-90 triangle Isosceles right triangle Kepler triangle Scalene triangle Quadrilateral – 4 sides Cyclic quadrilateral Kite Rectangle

    List of two-dimensional geometric shapes

    List_of_two-dimensional_geometric_shapes

  • Kepler's laws of planetary motion
  • Laws describing planetary orbits

    astronomy, Kepler's laws of planetary motion give good approximations for the orbits of planets around the Sun. They were published by Johannes Kepler from

    Kepler's laws of planetary motion

    Kepler's laws of planetary motion

    Kepler's_laws_of_planetary_motion

  • Kepler–Bouwkamp constant
  • Mathematical constant regarding inscribed polygons

    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

    Kepler–Bouwkamp constant

    Kepler–Bouwkamp constant

    Kepler–Bouwkamp_constant

  • Mathematical coincidence
  • Coincidence in mathematics

    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

    Mathematical coincidence

    Mathematical_coincidence

  • Pythagorean theorem
  • Relation between sides of a right triangle

    descriptions of redirect targets Inverse Pythagorean theorem Kepler triangle Linear algebra List of triangle topics Lp space Nonhypotenuse number Parallelogram

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

  • Straightedge and compass construction
  • Method of drawing geometric objects

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

    Straightedge and compass construction

    Straightedge and compass construction

    Straightedge_and_compass_construction

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

    List of triangle topics

    List_of_triangle_topics

  • Pythagorean means
  • Classical averages studied in ancient Greece

    sum.[citation needed] Arithmetic–geometric mean Average Golden ratio Kepler triangle QM-AM-GM-HM inequalities If NM = a and PM = b. AM = AM of a and b,

    Pythagorean means

    Pythagorean means

    Pythagorean_means

  • Mathematics and art
  • 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

    Mathematics and art

    Mathematics and art

    Mathematics_and_art

  • List of things named after Johannes Kepler
  • Kepler (1571 – 1630). Kepler conjecture Kepler triangle Kepler–Bouwkamp constant Kepler–Poinsot polyhedron Kepler's laws of planetary motion Kepler's

    List of things named after Johannes Kepler

    List_of_things_named_after_Johannes_Kepler

  • Dynamic rectangle
  • Geometric shape

    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

    Dynamic rectangle

    Dynamic_rectangle

  • Mathematics and architecture
  • 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,

    Mathematics and architecture

    Mathematics and architecture

    Mathematics_and_architecture

  • Automedian triangle
  • the only right triangle in which two of the medians are perpendicular to each other. Integer triangle Kepler triangle, a right triangle in which the squared

    Automedian triangle

    Automedian triangle

    Automedian_triangle

  • Michael Maestlin
  • German astronomer and mathematician (1550–1631)

    Maestlin in 1597. He included this calculation in a letter to Kepler about the Kepler triangle. Maestlin was one of the few astronomers of the 16th century

    Michael Maestlin

    Michael Maestlin

    Michael_Maestlin

  • Coxeter's loxodromic sequence of tangent circles
  • Circle packing

    }}\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

    Coxeter's loxodromic sequence of tangent circles

    Coxeter's loxodromic sequence of tangent circles

    Coxeter's_loxodromic_sequence_of_tangent_circles

  • Astronomia nova
  • Book by Johannes Kepler (1609)

    published in 1609, that contains the results of the astronomer Johannes Kepler's ten-year-long investigation of the motion of Mars. One of the most significant

    Astronomia nova

    Astronomia nova

    Astronomia_nova

  • 833 cents scale
  • Musical tuning and scale

    temperament, one advantage being that 36-TET includes traditional 12-TET. Kepler triangle Zipf's distribution Bohlen, Heinz (last updated 2012). "An 833 Cents

    833 cents scale

    833 cents scale

    833_cents_scale

  • 5-Con triangles
  • Similar triangles that share two side lengths

    Consequently, these are Kepler triangles and there can be no right 5-Con triangles with integer sides. There are no 5-Con triangles that are equilateral

    5-Con triangles

    5-Con triangles

    5-Con_triangles

  • Uniform polyhedron
  • Isogonal polyhedron with regular faces

    quasiregular and 11 semiregular— the non-convex star polyhedra as in 4 Kepler–Poinsot polyhedra and 53 uniform star polyhedra—14 quasiregular and 39 semiregular

    Uniform polyhedron

    Uniform polyhedron

    Uniform_polyhedron

  • Great icosahedron
  • Kepler-Poinsot polyhedron with 20 faces

    In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol {3,5⁄2} and Coxeter-Dynkin

    Great icosahedron

    Great icosahedron

    Great_icosahedron

  • Rhombicuboctahedron
  • Archimedean solid with 26 faces

    polyhedron 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

    Rhombicuboctahedron

    Rhombicuboctahedron

    Rhombicuboctahedron

  • Rhombicosidodecahedron
  • Archimedean solid with 62 faces

    12 regular pentagonal faces, with 60 vertices, and 120 edges. Johannes Kepler in Harmonices Mundi (1618) named this polyhedron a rhombicosidodecahedron

    Rhombicosidodecahedron

    Rhombicosidodecahedron

    Rhombicosidodecahedron

  • Kepler-1649c
  • Earth-size exoplanet orbiting Kepler-1649

    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

    Kepler-1649c

    Kepler-1649c

    Kepler-1649c

  • Heptagonal antiprism
  • a triangle meets a heptagon, and an additional 14 edges where two triangles meet. The heptagonal antiprism was first illustrated by Johannes Kepler as

    Heptagonal antiprism

    Heptagonal antiprism

    Heptagonal_antiprism

  • Octahedron
  • Polyhedron with eight triangular faces

    the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Many types of irregular octahedra

    Octahedron

    Octahedron

  • Harmonice Mundi
  • 1619 book by Johannes Kepler

    Harmony of the World, 1619) is a book by Johannes Kepler. In the work, written entirely in Latin, Kepler discusses harmony and congruence in geometrical

    Harmonice Mundi

    Harmonice Mundi

    Harmonice_Mundi

  • Star polygon
  • Regular non-convex polygon

    Grünbaum identified two primary usages of this terminology by Johannes Kepler, one corresponding to the regular star polygons with intersecting edges

    Star polygon

    Star polygon

    Star_polygon

  • Regular tetrahedron
  • Solid with four equal triangular faces

    nature by Plato, Johannes Kepler in his Harmonices Mundi sketched each of the Platonic solids. In his Mysterium Cosmographicum, Kepler also proposed the Solar

    Regular tetrahedron

    Regular tetrahedron

    Regular_tetrahedron

  • Penrose tiling
  • Non-periodic tiling of the plane

    Kepler showed, in his 1619 work Harmonices Mundi, that these gaps can be filled using pentagrams (star polygons), decagons and related shapes. Kepler

    Penrose tiling

    Penrose tiling

    Penrose_tiling

  • Trirectangular tetrahedron
  • Tetrahedron where all three face angles at one vertex are right angles

    near the corner of a cube or an octant at the origin of Euclidean space. Kepler discovered the relationship between the cube, regular tetrahedron and trirectangular

    Trirectangular tetrahedron

    Trirectangular tetrahedron

    Trirectangular_tetrahedron

  • Icosahedron
  • Polyhedron with 20 faces

    plain term. A non-convex polyhedron version is the great icosahedron, a Kepler–Poinsot polyhedron. Both have icosahedral symmetry. There are 59 stellations

    Icosahedron

    Icosahedron

  • Outline of geometry
  • Overview of and topical guide to geometry

    of triangle inequalities List of triangle topics Pedal triangle Pedoe's inequality Pythagorean theorem Pythagorean triangle Right triangle Triangle inequality

    Outline of geometry

    Outline_of_geometry

  • Platonic solid
  • Any of the five regular polyhedra

    work of Theaetetus. In the 16th century, the German astronomer Johannes Kepler attempted to relate the five extraterrestrial planets known at that time

    Platonic solid

    Platonic solid

    Platonic_solid

  • Tetractys
  • Symbol of ten points laid in four rows

    Arithmetic – Nicomachus Bruhn, Siglind (2005), The Musical Order of the World: Kepler, Hesse, Hindemith-Siglind Bruhn, Pendragon Press, ISBN 9781576471173 A Dictionary

    Tetractys

    Tetractys

    Tetractys

  • High-Level Shader Language
  • Shading language

    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

    High-Level Shader Language

    High-Level Shader Language

    High-Level_Shader_Language

  • Trihexagonal tiling
  • Tiling of a plane by regular hexagons and equilateral triangles

    in the classification of uniform tilings, was already known to Johannes Kepler in his 1619 book Harmonices Mundi. The pattern has long been used in Japanese

    Trihexagonal tiling

    Trihexagonal tiling

    Trihexagonal_tiling

  • Dodecahedron
  • Polyhedron with 12 faces

    all of which are regular star dodecahedra. They form three of the four Kepler–Poinsot polyhedra. They are the small stellated dodecahedron, the great

    Dodecahedron

    Dodecahedron

  • Jensen Huang
  • Taiwanese and American businessman (born 1963)

    mapping) instead of the triangle primitives preferred by its competitors, and barely survived long enough to successfully pivot to triangles only because Sega

    Jensen Huang

    Jensen Huang

    Jensen_Huang

  • Law of continuity
  • Principle that whatever succeeds for the finite also succeeds for the infinite

    of Cusa and Johannes Kepler. It is the principle that "whatever succeeds for the finite, also succeeds for the infinite". Kepler used the law of continuity

    Law of continuity

    Law_of_continuity

  • Lyra
  • Constellation in the northern celestial hemisphere

    it was announced that of the five planets orbiting Kepler-62, at least two—Kepler-62e and Kepler-62f—are within the boundaries of the habitable zone

    Lyra

    Lyra

    Lyra

  • Regular polyhedron
  • Polyhedron with regular congruent polygons as faces

    regular polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making nine regular polyhedra in all. In addition, there

    Regular polyhedron

    Regular_polyhedron

  • Small stellated dodecahedron
  • Kepler-Poinsot polyhedron

    In geometry, the small stellated dodecahedron is a Kepler–Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2, 5}. It is one of four

    Small stellated dodecahedron

    Small stellated dodecahedron

    Small_stellated_dodecahedron

  • Schwarz triangle
  • Spherical triangle that can be used to tile a sphere

    In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere (spherical tiling), possibly overlapping

    Schwarz triangle

    Schwarz triangle

    Schwarz_triangle

  • 5
  • Natural number

    {5/2}) appears prominently in Penrose tilings. Pentagrams are facets inside Kepler–Poinsot star polyhedra and Schläfli–Hess star polychora. There are five

    5

    5

  • Great stellated dodecahedron
  • Kepler–Poinsot polyhedron

    In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5⁄2, 3}. It is one of four nonconvex regular polyhedra

    Great stellated dodecahedron

    Great stellated dodecahedron

    Great_stellated_dodecahedron

  • Two-body problem in general relativity
  • as described by the field equations of general relativity. Solving the Kepler problem is essential to calculate the bending of light by gravity and the

    Two-body problem in general relativity

    Two-body_problem_in_general_relativity

  • Triangular orthobicupola
  • Two joined triangular cupolae

    triangular cupolae along their bases. It has an equal number of squares and triangles at each vertex; however, it is not vertex-transitive. It is also called

    Triangular orthobicupola

    Triangular orthobicupola

    Triangular_orthobicupola

  • Cygnus (constellation)
  • Constellation in the northern celestial hemisphere

    hole. Many star systems in Cygnus have known planets as a result of the Kepler Mission observing one patch of the sky, an area around Cygnus. Most of the

    Cygnus (constellation)

    Cygnus (constellation)

    Cygnus_(constellation)

  • Archimedean solid
  • Polyhedra in which all vertices are the same

    as Kepler–Poinsot polyhedra. Kepler may have also found another solid known as elongated square gyrobicupola or pseudorhombicuboctahedron. Kepler once

    Archimedean solid

    Archimedean solid

    Archimedean_solid

  • Veil Nebula
  • Cloud of heated and ionized gas and dust in the constellation Cygnus

    the northern rim between NGC 6992 and Pickering's Triangle. Eastern Veil Nebula Pickering's Triangle Western Veil Nebula The nebula was discovered on 5 September

    Veil Nebula

    Veil Nebula

    Veil_Nebula

  • Star polyhedron
  • Polyhedron with some pattern of nonconvexity

    self-intersecting vertex figures. There are four regular star polyhedra, known as the Kepler–Poinsot polyhedra. The Schläfli symbol {p,q} implies faces with p sides

    Star polyhedron

    Star_polyhedron

  • Areal velocity
  • Term from classical mechanics

    stated entirely in terms of areal velocity. A special case of this is Kepler's second law, which states that the areal velocity of a planet, with the

    Areal velocity

    Areal velocity

    Areal_velocity

  • List of geometers
  • (1568–1626) Jacques-François Le Poivre (1652–1710) – projective geometry Johannes Kepler (1571–1630) – (used geometric ideas in astronomical work) Edmund Gunter

    List of geometers

    List of geometers

    List_of_geometers

  • Uniform star polyhedron
  • Self-intersecting uniform polyhedron

    nonprismatic uniform star polyhedra includes the 4 regular ones, called the Kepler–Poinsot polyhedra, 14 quasiregular ones, and 39 semiregular ones. There

    Uniform star polyhedron

    Uniform star polyhedron

    Uniform_star_polyhedron

  • Regular icosahedron
  • Solid with twenty equal triangular faces

    icosahedron, including its 59 stellations. The great dodecahedron, one of the Kepler–Poinsot polyhedra, is constructed by either stellation of the regular dodecahedron

    Regular icosahedron

    Regular icosahedron

    Regular_icosahedron

  • Rare Earth hypothesis
  • Hypothesis that complex extraterrestrial life is improbable and extremely rare

    at least one planet orbiting within one. In 2013, astronomers using the Kepler space telescope's data estimated that about one-fifth of G-type and K-type

    Rare Earth hypothesis

    Rare Earth hypothesis

    Rare_Earth_hypothesis

  • Tetrahedron
  • Polyhedron with four faces

    the base to a common point. In the case of a tetrahedron, the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is

    Tetrahedron

    Tetrahedron

    Tetrahedron

  • Scientific Revolution
  • Emergence of modern science (1572-1687)

    discoveries of Kepler and Galileo gave the theory credibility. Kepler was an astronomer who is best known for his laws of planetary motion, and Kepler´s books

    Scientific Revolution

    Scientific Revolution

    Scientific_Revolution

  • Lambert's problem
  • Problem in celestial mechanics

    body is infinitesimal; this subset of the two-body problem is known as the Kepler orbit. The precise formulation of Lambert's problem is as follows: Two different

    Lambert's problem

    Lambert's_problem

  • List of polyhedral stellations
  • proper mathematical account of polyhedral stellations was given by Johannes Kepler in his 1619 classic work, Harmonices Mundi. Progress later ensued on detailing

    List of polyhedral stellations

    List_of_polyhedral_stellations

  • Camera obscura
  • Optical device

    Paralipomena by German mathematician, astronomer, and astrologer Johannes Kepler. Kepler discovered the working of the camera obscura by recreating its principle

    Camera obscura

    Camera obscura

    Camera_obscura

  • Faceting
  • Removing parts of a polytope without creating new vertices

    polygon, and one as a compound of two triangles. The regular icosahedron can be faceted into three regular Kepler–Poinsot polyhedra: small stellated dodecahedron

    Faceting

    Faceting

    Faceting

  • Quadro
  • Brand of Nvidia graphics cards used in workstations

    Kepler, Maxwell, Pascal, Volta All Kepler, Maxwell, Pascal, Volta and later can do OpenGL 4.6 with Driver 418+ All Quadro can do OpenCL 1.1. Kepler can

    Quadro

    Quadro

  • Conway polyhedron notation
  • Method of describing higher-order polyhedra

    Hart extended the idea of using operators, like truncation as defined by Kepler, to build related polyhedra of the same symmetry. For example, tC represents

    Conway polyhedron notation

    Conway polyhedron notation

    Conway_polyhedron_notation

  • Thomas Simpson
  • British mathematician and inventor

    found 100 years earlier by Johannes Kepler, and in German it is called Keplersche Fassregel, or roughly "Kepler's Barrel Rule". Simpson was born in Sutton

    Thomas Simpson

    Thomas Simpson

    Thomas_Simpson

  • Classical central-force problem
  • Class of problems in classical mechanics

    This special case of the classical central-force problem is called the Kepler problem. For an inverse-square force, the Binet equation derived above is

    Classical central-force problem

    Classical_central-force_problem

  • Triakis icosahedron
  • Catalan solid with 60 faces

    icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron. It has also been called

    Triakis icosahedron

    Triakis icosahedron

    Triakis_icosahedron

  • Nvidia
  • American multinational technology company

    mapping), a feature that set it apart from competitors, who preferred triangle primitives. However, when Microsoft introduced the DirectX platform, it

    Nvidia

    Nvidia

    Nvidia

  • Eccentric anomaly
  • Angle defining a position in an orbit

    parameter that defines the position of a body that is moving along an elliptic Kepler orbit, the angle measured at the center of the ellipse between the orbit's

    Eccentric anomaly

    Eccentric_anomaly

  • Isoperimetric inequality
  • Geometric inequality applicable to any closed curve

    which the universe is created. German astronomer and astrologer Johannes Kepler invoked the isoperimetric principle in discussing the morphology of the

    Isoperimetric inequality

    Isoperimetric inequality

    Isoperimetric_inequality

  • Antiprism
  • Polyhedron with parallel bases connected by triangles

    is an n-gonal trapezohedron. In his 1619 book Harmonices Mundi, Johannes Kepler observed the existence of the infinite family of antiprisms. This has conventionally

    Antiprism

    Antiprism

    Antiprism

  • Blackwell (microarchitecture)
  • GPU microarchitecture designed by Nvidia

    generation of ray tracing cores are introduced in Blackwell and include a new Triangle Cluster Intersection Engine for Mega Geometry and Linear Swept Spheres

    Blackwell (microarchitecture)

    Blackwell (microarchitecture)

    Blackwell_(microarchitecture)

  • Stellation
  • Extending the elements of a polytope to form a new figure

    "star". Stellation is the reciprocal or dual process to faceting. In 1619 Kepler defined stellation for polygons as the process of extending edges until

    Stellation

    Stellation

    Stellation

  • Lists of shapes
  • List of lists

    of mathematical shapes List of two-dimensional geometric shapes List of triangle topics List of circle topics List of curves List of surfaces List of polygons

    Lists of shapes

    Lists of shapes

    Lists_of_shapes

  • Philosophiæ Naturalis Principia Mathematica
  • 1687 work by Isaac Newton

    achievements, Newton provides an explanation for Johannes Kepler's laws of planetary motion, which Kepler had obtained empirically. The Preface of the work states:

    Philosophiæ Naturalis Principia Mathematica

    Philosophiæ Naturalis Principia Mathematica

    Philosophiæ_Naturalis_Principia_Mathematica

  • Graphics processing unit
  • Specialized electronic circuit that accelerates graphics

    2011 AMD released its 6000M Series discrete GPUs for mobile devices. The Kepler line of graphics cards by Nvidia were released in 2012 and were used in

    Graphics processing unit

    Graphics processing unit

    Graphics_processing_unit

  • Astrological aspect
  • Angle the planets make to each other in the horoscope

    is exemplified by research on astrological harmonics. In 1619, Johannes Kepler advocates this in his book Harmonice Mundi. Thereafter, John Addey was a

    Astrological aspect

    Astrological aspect

    Astrological_aspect

  • Timeline of mathematics
  • first references to e in a work on logarithms. 1619—Johannes Kepler discovers two of the Kepler-Poinsot polyhedra. 1629—Pierre de Fermat develops a rudimentary

    Timeline of mathematics

    Timeline_of_mathematics

  • Elongated square gyrobicupola
  • 37th Johnson solid (26 faces)

    The elongated square gyrobicupola may have been discovered by Johannes Kepler in his enumeration of the Archimedean solids, but its first clear appearance

    Elongated square gyrobicupola

    Elongated square gyrobicupola

    Elongated_square_gyrobicupola

  • Concyclic points
  • Points on a common circle

    plane that do not all fall on a straight line are concyclic, so every triangle is a cyclic polygon, with a well-defined circumcircle. However, four or

    Concyclic points

    Concyclic points

    Concyclic_points

  • Euler characteristic
  • Topological invariant in mathematics

    for convex polyhedra (where the densities are all 1) and the non-convex Kepler–Poinsot polyhedra. Projective polyhedra all have Euler characteristic 1

    Euler characteristic

    Euler_characteristic

  • Tessellation
  • Covering by shapes without overlaps or gaps

    classical antiquity, sometimes displaying geometric patterns. In 1619, Johannes Kepler made an early documented study of tessellations. He wrote about regular

    Tessellation

    Tessellation

    Tessellation

  • Space
  • Framework of distances and directions

    parallel lines pass through the point P. Consequently, the sum of angles in a triangle is less than 180° and the ratio of a circle's circumference to its diameter

    Space

    Space

    Space

  • Great conjunction
  • Conjunction of the planets Jupiter and Saturn

    astronomer-astrologers of the period up to the time of Tycho Brahe and Johannes Kepler, by scholastic thinkers such as Roger Bacon and Pierre d'Ailly, and they

    Great conjunction

    Great conjunction

    Great_conjunction

  • Regular octahedron
  • Solid with eight equal triangular faces

    geometry, a regular octahedron is an eight-sided polyhedron with equilateral triangles as its faces. Known for its highly symmetrical form, the regular octahedron

    Regular octahedron

    Regular octahedron

    Regular_octahedron

  • Snub (geometry)
  • Geometric operation applied to a polyhedron

    snub is an operation applied to a polyhedron. The term originates from Kepler's names of two Archimedean solids, for the snub cube (cubus simus) and snub

    Snub (geometry)

    Snub (geometry)

    Snub_(geometry)

  • Aristarchus of Samos
  • Greek astronomer and mathematician (c. 310 – 230 BC)

    The heliocentric theory was revived by Copernicus, after which Johannes Kepler described planetary motions with greater accuracy with his three laws. Isaac

    Aristarchus of Samos

    Aristarchus_of_Samos

  • N-body problem
  • Problem in physics and celestial mechanics

    dragging the Solar System and Earth along with it. What mathematician Kepler did in arriving at his three famous equations was curve-fit the apparent

    N-body problem

    N-body_problem

  • Close-packing of equal spheres
  • Dense arrangement of congruent spheres in an infinite, regular arrangement

    including structures that are aperiodic in the stacking direction. The Kepler conjecture states that this is the highest density that can be achieved

    Close-packing of equal spheres

    Close-packing of equal spheres

    Close-packing_of_equal_spheres

  • Concentric objects
  • Geometric objects with a common centre

    the live core(s) in system of concentric cylindrical shells. Johannes Kepler's Mysterium Cosmographicum envisioned a cosmological system formed by concentric

    Concentric objects

    Concentric objects

    Concentric_objects

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  • Surname or Lastname

    English and Scottish

    Seller

    English and Scottish : topographic name, a variant of Sell 1.English and Scottish : occupational name for a saddler, from Anglo-Norman French seller (Old French sellier, Latin sellarius, a derivative of sella ‘seat’, ‘saddle’).English and Scottish : metonymic occupational name for someone employed in the cellars of a great house or monastery, from Anglo-Norman French celler ‘cellar’ (Old French cellier), or a reduction of the Middle English agent derivative cellerer.English and Scottish : occupational name for a tradesman or merchant, from an agent derivative of Middle English sell(en) ‘to sell’ (Old English sellan ‘to hand over, deliver’).German : probably a habitational name from a place named Sella near Hoyerswerda.

    Seller

  • Tesler
  • Surname or Lastname

    Jewish (eastern Ashkenazic)

    Tesler

    Jewish (eastern Ashkenazic) : occupational name from Yiddish tesler ‘carpenter’.English : variant of Tessler.German : variant of Tescher.

    Tesler

  • Teller
  • Surname or Lastname

    English

    Teller

    English : occupational name from Old French telier ‘weaver’, ‘linen-weaver’.German : variant of Tell 2 and 3.Dutch : occupational name for a teller, a marketplace official.Jewish (Ashkenazic) : either a metonymic occupational name for a dish maker or a nickname, from German Teller, Yiddish teler ‘plate’.Catalan : from a derivative of Tell 4.This name is recorded in Beverwijck in New Netherland (Albany, NY) in the mid 17th century.

    Teller

  • KELLEY
  • Male

    English

    KELLEY

    Variant spelling of English unisex Kelly, KELLEY means "bright-headed."

    KELLEY

  • Pepper
  • Girl/Female

    American, Australian, British, English

    Pepper

    From the Pepper Plant; Hot Spice

    Pepper

  • Keller
  • Surname or Lastname

    German

    Keller

    German : from Middle High German kellaere ‘cellarman’, ‘cellar master’ (Latin cellarius, denoting the keeper of the cella ‘store chamber’, ‘pantry’). Hence an occupational name for the overseer of the stores, accounts, or household in general in, for example, a monastery or castle. Kellers were important as trusted stewards in a great household, and in some cases were promoted to ministerial rank. The surname is widespread throughout central Europe.English : either an occupational name for a maker of caps or cauls, from Middle English kellere, or an occupational name for an executioner, from Old English cwellere.Irish : reduced form of Kelleher.Scottish : variant of Keillor.

    Keller

  • Pepper
  • Boy/Male

    British, Chinese, English

    Pepper

    From the Pepper Plant

    Pepper

  • Meller
  • Surname or Lastname

    Americanized form of German Möller (see Moeller).German

    Meller

    Americanized form of German Möller (see Moeller).German : habitational name for someone from Melle.German, Jewish (Ashkenazic), and Polish : occupational name for a miller or flour merchant, from an agent derivative of German Mehl ‘flour’.English : variant of Miller.

    Meller

  • Keller
  • Boy/Male

    Gaelic

    Keller

    Little champion.

    Keller

  • Kellar
  • Surname or Lastname

    English and Scottish

    Kellar

    English and Scottish : variant of Keillor.German : variant of Keller.

    Kellar

  • Kelner
  • Surname or Lastname

    English

    Kelner

    English : variant of Kilner.German, Dutch, and Jewish (Ashkenazic) : variant spelling of Kellner, in any of its senses: ‘cellarman’, ‘steward’, ‘overseer’, or ‘waiter’. In this spelling it is also found as a Czech name.Jewish (Ashkenazic) : occupational name from modern German Kellner or Yiddish kelner ‘waiter’.

    Kelner

  • Keeler
  • Surname or Lastname

    English

    Keeler

    English : occupational name for a boatman or boatbuilder, from an agent derivative of Middle English kele ‘ship’, ‘barge’ (from Middle Dutch kiel).Americanized spelling of German Kühler, from a variant of an old personal name (see Keeling) or a variant of Kuhl.

    Keeler

  • KESTER
  • Male

    Scottish

    KESTER

    Medieval Scottish form of Latin Crescentius, KESTER means "to spring up, grow, thrive."

    KESTER

  • Meeler
  • Surname or Lastname

    English

    Meeler

    English : probably a variant of Mellor. Compare Mealor, Mealer.

    Meeler

  • Medler
  • Surname or Lastname

    English (Norfolk)

    Medler

    English (Norfolk) : habitational name from Madehurst in Sussex, which gets its name from Old English mǣd ‘meadow’ (see Mead 1) + hyrst ‘wooded hill’. This place name appears in 12th-century records in the Normanized form Medl(i)ers. The surname is found in Norfolk as early as the 13th century in the form de Medlers; the landowning family that bore it was in vassalage to the Earl of Surrey, who had large estates in both Sussex and Norfolk.

    Medler

  • Seyler
  • Surname or Lastname

    English

    Seyler

    English : variant spelling of Saylor.German : variant spelling of Seiler.

    Seyler

  • Peller
  • Surname or Lastname

    English and German

    Peller

    English and German : occupational name from Middle English, Middle Low German peller ‘maker (or seller) of expensive cloth’, derived from Old English pæll, pell ‘costly or purple cloth or cloak’, Middle Low German pelle (see Pelle 2).Southern English : topographic name for someone living by an inlet of the sea, a derivative of Old English pyll ‘inlet’ (see Pill 1) + the -er suffix denoting an inhabitant.German : from a Germanic personal name formed with bald ‘brave’ + heri ‘army’.

    Peller

  • Heller
  • Surname or Lastname

    German

    Heller

    German : nickname from the small medieval coin known as the häller or heller because it was first minted (in 1208) at the Swabian town of (Schwäbisch) Hall. Compare Hall.Jewish (Ashkenazic) : habitational name for someone from Schwäbisch Hall.German : topographic name for someone living by a field named as ‘hell’ (see Helle 3).English : topographic name for someone living on a hill, from southeastern Middle English hell + the habitational suffix -er.Dutch : from a Germanic personal name composed of the elements hild ‘strife’ + hari, heri ‘army’.Jewish (Ashkenazic) : nickname for a person with fair hair or a light complexion, from an inflected form, used before a male personal name, of German hell ‘light’, ‘bright’, Yiddish hel.

    Heller

  • KEELEY
  • Female

    English

    KEELEY

    Irish surname transferred to forename use, derived from the English personal name Kayley, KEELEY means "slender."

    KEELEY

  • Mealer
  • Surname or Lastname

    English

    Mealer

    English : probably a variant of Mellor. Compare Mealor, Meeler.

    Mealer

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Online names & meanings

  • Procter
  • Surname or Lastname

    English (Cumbria and West Yorkshire)

    Procter

    English (Cumbria and West Yorkshire) : variant spelling of Proctor.

  • Unjali
  • Girl/Female

    Hindu, Indian

    Unjali

    Blessing

  • Alfeo
  • Boy/Male

    British, English

    Alfeo

    Counsel from the Elves

  • Adrita | அத்ரிதா
  • Girl/Female

    Tamil

    Adrita | அத்ரிதா

    Independent, Supportive, One who is loved by everyone

  • Mathers
  • Boy/Male

    British, English

    Mathers

    Son of Mather

  • Sahika
  • Girl/Female

    Australian, German, Hindu, Indian

    Sahika

    Correct

  • Semirah
  • Girl/Female

    Arabic, Muslim

    Semirah

    Pure; Honestly; A Decent One

  • KYÖSTI
  • Male

    Finnish

    KYÖSTI

    Finnish form of Latin Gustavus, KYÖSTI means "meditation staff."

  • Galatia
  • Girl/Female

    Australian, Biblical

    Galatia

    White; The Color of Milk

  • Oswy
  • Boy/Male

    Anglo, British, English

    Oswy

    Supreme Power; Name of a King

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Other words and meanings similar to

KEPLER TRIANGLE

AI search in online dictionary sources & meanings containing KEPLER TRIANGLE

KEPLER TRIANGLE

  • Dealer
  • n.

    One who deals; one who has to do, or has concern, with others; esp., a trader, a trafficker, a shopkeeper, a broker, or a merchant; as, a dealer in dry goods; a dealer in stocks; a retail dealer.

  • Kilter
  • n.

    See Kelter.

  • Helper
  • n.

    One who, or that which, helps, aids, assists, or relieves; as, a lay helper in a parish.

  • Costermonger
  • n.

    An apple seller; a hawker of, or dealer in, any kind of fruit or vegetables; a fruiterer.

  • Pepper
  • n.

    The plant which yields pepper, an East Indian woody climber (Piper nigrum), with ovate leaves and apetalous flowers in spikes opposite the leaves. The berries are red when ripe. Also, by extension, any one of the several hundred species of the genus Piper, widely dispersed throughout the tropical and subtropical regions of the earth.

  • Keeler
  • n.

    A small or shallow tub; esp., one used for holding materials for calking ships, or one used for washing dishes, etc.

  • Keeper
  • n.

    A fruit that keeps well; as, the Roxbury Russet is a good keeper.

  • Keeler
  • n.

    One employed in managing a Newcastle keel; -- called also keelman.

  • Kippering
  • p. pr. & vb. n.

    of Kipper

  • Keeled
  • a.

    Keel-shaped; having a longitudinal prominence on the back; as, a keeled leaf.

  • Keelman
  • n.

    See Keeler, 1.

  • Keeper
  • n.

    One who has the care, custody, or superintendence of anything; as, the keeper of a park, a pound, of sheep, of a gate, etc. ; the keeper of attached property; hence, one who saves from harm; a defender; a preserver.

  • Keeled
  • a.

    Having a median ridge; carinate; as, a keeled scale.

  • Pepper
  • v. t.

    To sprinkle or season with pepper.

  • Pound/keeper
  • n.

    The keeper of a pound.

  • Pepper
  • n.

    Any plant of the genus Capsicum, and its fruit; red pepper; as, the bell pepper.

  • Story-teller
  • n.

    One who tells stories; a narrator of anecdotes,incidents, or fictitious tales; as, an amusing story-teller.

  • Replyer
  • n.

    See Replier.

  • Kippered
  • imp. & p. p.

    of Kipper