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Line segment through a triangle vertex that bisects its perimeter
In Euclidean geometry, a splitter is a line segment through one of the vertices of a triangle (that is, a cevian) that bisects the perimeter of the triangle
Splitter_(geometry)
Topics referred to by the same term
Look up splitter in Wiktionary, the free dictionary. Splitter or splitters may refer to: DSL filter or DSL splitter, in telecommunications Fiber-optic
Splitter
Branch of mathematics
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is
Geometry
Optical device which splits a beam of light in two
on the type and geometry of the beam splitter. For beam splitters with two incoming beams, using a classical, lossless beam splitter with electric fields
Beam_splitter
Line segment from a midpoint of a triangle side which bisects its perimeter
Splitter (geometry) Honsberger, Ross (1995), "Chapter 1: Cleavers and Splitters", Episodes in Nineteenth and Twentieth Century Euclidean Geometry, New
Cleaver_(geometry)
Two geometries based on axioms closely related to those specifying Euclidean geometry
non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the
Non-Euclidean_geometry
Branch of mathematics
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems
Algebraic_geometry
right triangles Spieker center Spieker circle Spiral of Theodorus Splitter (geometry) Steiner circumellipse Steiner inellipse Steiner–Lehmus theorem Stewart's
List_of_triangle_topics
Aerodynamic surface
airstream is brought to stagnation above the splitter by an air dam, causing an area of high pressure. Below the splitter, the air is redirected away from the
Diffuser_(automotive)
Shape with three sides
polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the
Triangle
Molecular geometry
In chemistry, octahedral molecular geometry, also called square bipyramidal, describes the shape of compounds with six atoms or groups of atoms or ligands
Octahedral_molecular_geometry
This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Type of jet engine air intake
fixed-geometry "caret" inlet designs (such as on the F-22) achieve the efficient pressure recovery of variable intake ramps, but still require a splitter gap
Diverterless_supersonic_inlet
Theorem concerning ratios of line segments
theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that
Intercept_theorem
Quadrilateral symmetric across a diagonal
In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and
Kite_(geometry)
Geometric shape
In geometry, a cone is a three-dimensional figure that tapers smoothly from a flat base (typically a circle) to a point not contained in the base, called
Cone
Reals with an extra square root of +1 adjoined
the split-complex plane has only half the area in the span of a corresponding hyperbolic sector. Such confusion may be perpetuated when the geometry of
Split-complex_number
Line intersecting both a vertex and opposite edge of a triangle
gives the identity 1 + 1 + 1 = 3. A splitter of a triangle is a cevian that bisects the perimeter. The three splitters concur at the Nagel point of the triangle
Cevian
Historical development of geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry
History_of_geometry
Right inverse of a morphism
called split monomorphisms and retractions are also called split epimorphisms. In an abelian category, if f : X → Y {\displaystyle f:X\to Y} is a split epimorphism
Section_(category_theory)
Completion of the usual space with "points at infinity"
generally preferred. There are two classes of definitions. In synthetic geometry, point and line are primitive entities that are related by the incidence
Projective_space
Infinitely detailed mathematical structure
in the Menger sponge, the shape is called affine self-similar. Fractal geometry relates to the mathematical branch of measure theory by their Hausdorff
Fractal
Path that surrounds an area
) . {\displaystyle 2nR\sin \left({\frac {180^{\circ }}{n}}\right).} A splitter of a triangle is a cevian (a segment from a vertex to the opposite side)
Perimeter
Lines which intersect at a single point
In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point. The set of all lines through a point is called
Concurrent_lines
Field of knowledge
geometrical problems. Geometry was split into two new subfields: synthetic geometry, which uses purely geometrical methods, and analytic geometry, which uses coordinates
Mathematics
Mathematics of smooth surfaces
In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most
Differential geometry of surfaces
Differential_geometry_of_surfaces
Property of points all lying on a single line
Look up collinearity or collinear in Wiktionary, the free dictionary. In geometry, collinearity of a set of points is the property of their lying on a single
Collinearity
Problem-solving technique in geometry
Mass point geometry, colloquially known as mass points, is a problem-solving technique in geometry which applies the physical principle of the center
Mass_point_geometry
2005 studio album by The Clientele
Strange Geometry is the third studio album by English indie pop band The Clientele. The album was released on 30 August 2005 by Merge Records and on 5
Strange_Geometry
Type of curve in hyperbolic geometry
In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight
Hypercycle_(geometry)
Supersonic aircraft component
positioned behind the forward fuselage, they are spaced away (i.e. mounted on a splitter plate) in order to bypass the forebody's turbulent boundary layer to mitigate
Inlet_cone
Track-only sports car
The Vulcan generates GT3-car levels of downforce via its prominent front splitter, rear diffuser and adjustable rear wing. Aston Martin states that the car
Aston_Martin_Vulcan
Molecular geometry of five coplanar atoms
In chemistry, the square planar molecular geometry describes the stereochemistry (spatial arrangement of atoms) that is adopted by certain chemical compounds
Square planar molecular geometry
Square_planar_molecular_geometry
Sixth generation of the Corvette sports car
roof, hood, fenders, front splitter, and rocker moldings; the hood and fenders are painted over, while the roof and splitter are merely covered in a clear-coat
Chevrolet_Corvette_(C6)
Four-dimensional associative algebra over the reals
matrices Split-biquaternions Split-octonions Dual quaternions Karzel, Helmut & Günter Kist (1985) "Kinematic Algebras and their Geometries", in Rings
Split-quaternion
Air intake used on supersonic jet engines
positions MiG-25 ramp Index of aviation articles Inlet cone NACA duct Splitter plate Naval Fighters Number Sixty-Four North American A-5A, RA-5C Vigilante
Intake_ramp
Subspace defined by a polynomial of degree 2 over a field
In the mathematical field of algebraic geometry, a quadric or quadric hypersurface is the subspace of N-dimensional space defined by a polynomial equation
Quadric_(algebraic_geometry)
Safety device installed on woodworking saws
adjustment and is ineffective compared to the splitter. Stop block "What is the difference between a Table Saw Splitter/Spreader and a Table Saw Riving Knife
Riving_knife
Describes the general shape and layout of an aircraft wing
here under more than one heading. This is particularly so for variable geometry and combined (closed) wing types. Most of the configurations described
Wing_configuration
Common configuration for optical interferometry
& M2 and a beam splitter M (although a diffraction grating is also used). In Fig 2, a source S emits light that hits the beam splitter (in this case, a
Michelson_interferometer
Perpendicular line segment from a triangle's side to opposite vertex
In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite
Altitude_(triangle)
Mathematics book
The Geometry of the Octonions is a mathematics book on the octonions, a system of numbers generalizing the complex numbers and quaternions, presenting
The_Geometry_of_the_Octonions
Things dwell out of Sight S07.17.086 1945 1.543 998 1012 Best Witchcraft is Geometry 1158 1158 Betrothed to Righteousness might be 1945 2.647 1641 1657 Better
List_of_Emily_Dickinson_poems
Exhaust-powered forced-induction device for engines
"Variable-Geometry Turbochargers". Coursework for Physics 240. Retrieved 17 April 2012. Tan, Paul (16 August 2006). "How does Variable Turbine Geometry work
Turbocharger
Triangle with integer side lengths
altitude dropped from a vertex onto an opposite side or its extension will split that side or its extension into rational lengths. The square of twice any
Integer_triangle
Research program on the symmetries of geometry
Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix Klein in 1872 as Vergleichende
Erlangen_program
2007 video game
Geometry Wars: Galaxies is a multidirectional shooter video game developed by Bizarre Creations and Kuju Entertainment, and published by Vivendi Games
Geometry_Wars:_Galaxies
Index of articles associated with the same name
Planar separator theorem (graph theory) states that any planar graph can be split into smaller pieces by removing a small number of vertices. Lusin's separation
Separation_theorem
(complex, dual and split-complex numbers) and the three non-Euclidean geometries. The number system that corresponds to Euclidean geometry is the dual numbers
Laguerre_transformations
Chinese automobile brand
(2024–present), subcompact hatchback, BEV Geely Galaxy LEVC L380 Geometry A Geometry E Geometry G6 Geometry M6 Geely Panda Mini EV Geely Galaxy Xingjian 7 Geely Galaxy
Geely_Galaxy
Principle of automotive steering and handling
ground. An advantage of a negative scrub radius is that the geometry naturally compensates for split μ (mu) braking, or failure in one of the brake circuits
Scrub_radius
Topics referred to by the same term
Grad, a village, the seat of the municipality Grad, Split, an administrative division of Split, Croatia Grad (surname) Grad (EP), a Cactus Jack EP Grad
Grad
Generalization of algebraic variety
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of an algebraic variety in several ways, such as taking
Scheme_(mathematics)
Algebraic geometry analog of a principal bundle in algebraic topology
In algebraic geometry, a torsor or a principal bundle is an analogue of a principal bundle in algebraic topology. Because there are few open sets in Zariski
Torsor_(algebraic_geometry)
Covering by shapes without overlaps or gaps
tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include
Tessellation
Structure in algebraic geometry
In algebraic geometry, a motive (or sometimes motif, following French usage) is an abstract object introduced by Alexander Grothendieck in the 1960s as
Motive_(algebraic_geometry)
Generalization of affine connections
the geometry of the principal bundle is tied to the geometry of the base manifold using a solder form. Cartan connections describe the geometry of manifolds
Cartan_connection
Transparent optical element with flat, polished surfaces that refract light
of one right-angled prism, and cemented to another prism to form a beam-splitter cube. Overall optical performance of such a cube is determined by the thin
Prism_(optics)
Mechanical linkage transforming rotary motion into linear
University. Johnson RA (1960). Advanced Euclidean Geometry: An elementary treatise on the geometry of the triangle and the circle (reprint of 1929 edition
Peaucellier–Lipkin_linkage
Line which touches a circle at exactly one point
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent
Tangent_lines_to_circles
Compact astronomical body
determine whether such an event occurred. For non-rotating black holes, the geometry of the event horizon is precisely spherical, while for rotating black holes
Black_hole
Petrochemical process to break down saturated hydrocarbons in smaller molecules
proceed to a C2 splitter. The product ethylene is taken from the overhead of the tower and the ethane coming from the bottom of the splitter is recycled to
Steam_cracking
High school math competition
Algebra Geometry Combinatorics 2011: Algebra Combinatorics Geometry Number Theory Geometry Algebra 2010: Geometry Combinatorics Algebra Geometry Number
United States of America Mathematical Olympiad
United_States_of_America_Mathematical_Olympiad
Half of the sum of side lengths of a polygon
In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears
Semiperimeter
Concept in abstract algebra
Brion, Michel; Kumar, Shrawan (2005), Frobenius splitting methods in geometry and representation theory, Progress in Mathematics, vol. 231, Boston, MA:
Frobenius_splitting
Python library for symbolic computation
Aaron Meurer. It was started in 2005 by Ondřej Čertík. The SymPy library is split into a core with many optional modules. Currently, the core of SymPy has
SymPy
2026 Android mobile operating system
2026. Retrieved March 11, 2026. Abner Li (January 13, 2026). "Android 17' split Notifications & Quick Settings panels leak in full [Gallery]". 9To5Google
Android_17
surface (not to be confused with the arithmetic surfaces from arithmetic geometry; however when the context is clear the "hyperbolic" specifier may be omitted)
Arithmetic_Fuchsian_group
Branch of pure mathematics
considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study
Number_theory
Straight path on a curved surface or a Riemannian manifold
In geometry, a geodesic (/ˌdʒiː.əˈdɛsɪk, -oʊ-, -ˈdiːsɪk, -zɪk/) is a curve representing in some sense the locally shortest path (arc) between two points
Geodesic
Mathematical metric in geometry
unifying idea in geometry since the method is used to provide metrics in hyperbolic geometry, elliptic geometry, and Euclidean geometry. The field of non-Euclidean
Cayley–Klein_metric
Mathematics used in ancient Mesopotamia
between 350 and 50 BC, revealing that the Babylonians understood and used geometry even earlier than previously thought. The Babylonians used a method for
Babylonian_mathematics
a Mirau interferometer is shown on the right. At the beam splitter the source light is split into a reference path (reflected) and a sampling path (transmitted
Mirau_interferometer
Coordinates used to specify position of a line
In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position
Line_coordinates
mathematician Pythagoras of Samos, after whom the Pythagorean theorem of Euclidean geometry was named, to refer to the geometric (triangular) shape that characterizes
List of organisms named after famous people (born before 1800)
List_of_organisms_named_after_famous_people_(born_before_1800)
Form of particle interferometry
Bordé's main idea was to use atomic recoil to create a beam splitter of different geometries for an atom-wave. The Ramsey–Bordé interferometer specifically
Ramsey_interferometry
Coordinate system that is defined by points instead of vectors
In geometry, a barycentric coordinate system is a coordinate system in which the location of a point is specified by reference to a simplex (a triangle
Barycentric_coordinate_system
Math competition
recent years. Modern olympiad mathematics can be split into four categories: algebra, combinatorics, geometry, and number theory. Algebra is restricted to
Mathematical_olympiad
Partition of a simple polygon into triangles
In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of
Polygon_triangulation
Concept in geometry
In geometry, the area enclosed by a circle of radius r is πr2. Here, the Greek letter π represents the constant ratio of the circumference of any circle
Area_of_a_circle
Theory of gravitation as curved spacetime
seen as a prediction of general relativity for the almost flat spacetime geometry around stationary mass distributions. Some predictions of general relativity
General_relativity
Projective construction in ring theory
permutations. For a finite field GF(q), the projective line is the Galois geometry PG(1, q). J. W. P. Hirschfeld has described the harmonic tetrads in the
Projective_line_over_a_ring
Triangle center; intersection of all three of a triangle's splitters
In geometry, the Nagel point (named for Christian Heinrich von Nagel) is a triangle center, one of the points associated with a given triangle whose definition
Nagel_point
Size of a two-dimensional surface
important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear
Area
Geometric concept of a 2D space with "points at infinity" adjoined
slightly different guises, is important in algebraic geometry, topology and projective geometry where it may be denoted variously by PG(2, R), RP2, or
Projective_plane
Theorem in differential geometry
In the mathematical field of differential geometry, there are various splitting theorems on when a pseudo-Riemannian manifold can be given as a metric
Splitting_theorem
Learning effect inherent within some poorly designed instructional materials
improved their performance relative to their peers. The split-attention effect is not limited to geometry. Chandler and Sweller found that this effect extends
Split_attention_effect
Real numbers adjoined with a nil-squaring element
to a scheme. This allows notions from differential geometry to be imported into algebraic geometry. In detail: The ring of dual numbers may be thought
Dual_number
Mathematical abelian group
to the Klein four-group. In a similar fashion, the group of units of the split-complex number ring, when divided by its identity component, also results
Klein_four-group
Complex numbers with non-negative imaginary part
metric space is the hyperbolic plane. In terms of the models of hyperbolic geometry, this model is frequently designated the Poincaré half-plane model. Mathematicians
Upper_half-plane
Application of Clifford algebra
of classical mechanics to be constructed. The plane-based approach to geometry may be contrasted with the approach that uses the cross product, in which
Plane-based_geometric_algebra
Statistical approach
ISBN 978-0-471-07916-3. Goos, Peter] (2002). The Optimal Design of Blocked and Split-plot Experiments. Lecture Notes in Statistics. Vol. 164. Springer. ISBN 978-0-387-95515-5
Response_surface_methodology
Topics referred to by the same term
which, in a close-up view, resembles the spaces described by Euclidean geometry. Manifold may also refer to: Manifold (comics), a fictional character in
Manifold_(disambiguation)
Triangulation method
In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull into triangles
Delaunay_triangulation
The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
Mathematical concept
Since the late 20th century, the topic has split into two topics with different emphases. Integral geometry sprang from the principle that the mathematically
Geometric_probability
Mathematical function that preserves angles
split-complex numbers, and dual numbers. The conformal maps are described by linear fractional transformations in each case. In Riemannian geometry,
Conformal_map
British mathematician and philosopher (1845–1879)
mathematical physics, geometry, and computing. Clifford was the first to suggest that gravitation might be a manifestation of an underlying geometry. In his philosophical
William_Kingdon_Clifford
Topic in comparative religion
explicitly link yantras and chakra diagrams to Western ideas of sacred geometry and magical sigils, treating them as powerful symbols that structure and
Western esotericism and Eastern religions
Western_esotericism_and_Eastern_religions
Robert L. Devaney; German mathematician Heinz-Otto Peitgen and fractal geometry; strange attractors in dynamical systems, such as weather systems; David
List_of_Equinox_episodes
SPLITTER GEOMETRY
SPLITTER GEOMETRY
Girl/Female
Hindu, Indian, Sanskrit
Golden Charm; Glitter of Gold
Surname or Lastname
English
English : nickname for an argumentative person, from Old English flītere ‘disputer’, an agent derivative of flītan ‘to wrangle’.
Surname or Lastname
English and Scottish
English and Scottish : variant of Slater.
Boy/Male
Muslim
Glitter, Curve, Shine
Surname or Lastname
English
English : variant of Platt or Plater.Scottish : habitational name from the Forest of Plater in Angus.German (Tyrol, Bavaria) : variant of Plattner 1.German : variant of Platner.
Girl/Female
Muslim
Glitter
Boy/Male
British, English
Glitter
Boy/Male
Hindu
Uplifter of the poor
Female
Chinese
blue glitter, or blue quartz.
Boy/Male
Arabic
Glitter; Shine
Girl/Female
Arabic, Muslim
Glitter
Boy/Male
Indian
Glitter, Curve, Shine
Surname or Lastname
English and eastern German
English and eastern German : occupational name for someone who was employed at a lodging house or infirmary, from agent derivatives of Middle English spital, Middle High German spital, spittel ‘lodging house’, ‘infirmary’.
Boy/Male
Tamil
Glitter, Shine
Boy/Male
Arabic, Muslim
Glitter; Curve; Shine; Brightness
Boy/Male
Hindu, Indian
Splinter
Boy/Male
Arabic
Glitter; Shine
Surname or Lastname
English
English : topographic name for someone who lived by a pit or hollow (see Pitt) + -er, suffix denoting an inhabitant.German : variant of Peter.Jewish (from Ukraine) : metonymic occupational nanme from Yiddish dialect piter ‘butter’. Compare Putterman.
Girl/Female
Indian, Telugu
Glitter; Glitter of Dharma
Boy/Male
Tamil
Uplifter of the poor
SPLITTER GEOMETRY
SPLITTER GEOMETRY
Girl/Female
Indian
The Moon
Boy/Male
Hindu, Indian
All Auspicious Lord
Boy/Male
Tamil
(Son of Abhimanyu)
Girl/Female
American, British, Christian, English, Finnish, German, Greek, Hebrew, Russian, Swedish
Honey; Sacred of God; Luck; Good Fortune; Bee; Pledged to God; God's Promise; God is My Oath
Boy/Male
Hindu, Indian, Telugu
Famous; Always Laughing
Girl/Female
Hindu
Apsara, Of the clove plant
Male
Japanese
(æ£æ´‹) Japanese name MASAHIRO means "justice prospers."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Punjabi, Sikh, Telugu
Solitary
Girl/Female
American, Australian, British, Danish, English, Jamaican, Welsh
Peaceful Friend; Fair; Holy; Blessed Reconciliation; Joy and Peace; Blessed Peace; White Wave
Girl/Female
Teutonic
Lovely or happy.
SPLITTER GEOMETRY
SPLITTER GEOMETRY
SPLITTER GEOMETRY
SPLITTER GEOMETRY
SPLITTER GEOMETRY
imp. & p. p.
of Splutter
v. i. & t.
To spatter; to splash.
n.
A bright, sparkling light; brilliant and showy luster; brilliancy; as, the glitter of arms; the glitter of royal equipage.
v. t.
To sprinkle with a liquid or with any wet substance, as water, mud, or the like; to make wet of foul spots upon by sprinkling; as, to spatter a coat; to spatter the floor; to spatter boots with mud.
v. i.
To throw something out of the mouth in a scattering manner; to sputter.
p. pr. & vb. n.
of Splutter
n.
To split or rend into long, thin pieces; to shiver; as, the lightning splinters a tree.
adv. & a.
Glittering; in a glitter.
a.
Consisting of splinters; resembling splinters; as, the splintery fracture of a mineral.
n.
One who sprints; one who runs in sprint races; as, a champion sprinter.
v. t.
To supply with litter, as cattle; to cover with litter, as the floor of a stall.
n.
A thin piece split or rent off lengthwise, as from wood, bone, or other solid substance; a thin piece; a sliver; as, splinters of a ship's mast rent off by a shot.
v. i.
To produce a litter.
p. pr. & vb. n.
of Splinter
v. t.
To flutter; to move quickly; as, to flitter the cards.
v. i.
To be supplied with litter as bedding; to sleep or make one's bed in litter.
v. i.
To speak hastily and confusedly; to sputter.
n.
To fasten or confine with splinters, or splints, as a broken limb.
imp. & p. p.
of Splinter
v. t.
To distribute by sprinkling; to sprinkle around; as, to spatter blood.