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See searches and references containing BASE GEOMETRY!BASE GEOMETRY
Bottom of a geometric figure
In geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perpendicular to the direction in which height is measured
Base_(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
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
Conic solid with a polygonal base
base and a point, called the apex. Each base edge and apex form a triangle, called a lateral face. A pyramid is a conic solid with a polygonal base.
Pyramid_(geometry)
Euclidean geometry without distance and angles
In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance
Affine_geometry
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
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
Line segment joining two adjacent vertices in a polygon or polytope
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon,
Edge_(geometry)
Solid with 2 parallel n-gonal bases connected by n parallelograms
In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of
Prism_(geometry)
Field of mathematics dealing with three-dimensional Euclidean spaces
Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). A solid figure is the region of 3D space bounded by a two-dimensional
Solid_geometry
Symbolic and sacred meanings ascribed to certain geometric shapes
Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief of
Sacred_geometry
Topics referred to by the same term
the number whose logarithm is 1 Base (exponentiation), the number b in an expression of the form bx Base (geometry), a side of a plane figure (for example
Base
Mathematical model of the physical space
Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements
Euclidean_geometry
Geometry of the surface of a sphere
Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of
Spherical_geometry
Two closely related mathematical subjects
algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties, analytic geometry deals with
Algebraic geometry and analytic geometry
Algebraic_geometry_and_analytic_geometry
Shape with three sides
area of a triangle equals one-half the product of height and base length. In Euclidean geometry, any two points determine a unique line segment situated within
Triangle
Peak or top of a geometric figure
In geometry, an apex (pl.: apices) is the vertex which is in some sense the "highest" of the figure to which it belongs. The term is typically used to
Apex_(geometry)
Three-dimensional solid
curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite
Cylinder
2013 video game
Geometry Dash is a 2013 side-scrolling rhythm platform video game developed by Swedish game developer Robert Topala and published by his company RobTop
Geometry_Dash
Battery-powered compact sedan produced by Chinese auto brand Geometry
the Geometry brand. It was developed based on the Geely Emgrand GL sedan. The A has a very low drag coefficient of Cd=0.237. Rear view The Geometry A comes
Geometry_A
Subcompact crossover SUV
brand new model of the Geometry brand, while replacing the short-lived Geometry EX3 sold in 2021 alone. It was developed based on the same platform as
Geometry_E
Open-source parametric aircraft geometry tool
OpenVSP (also Open Vehicle Sketch Pad) is an open-source parametric aircraft geometry tool originally developed by NASA. It can be used to create 3D models of
OpenVSP
Family of geometric objects with a common property
In geometry, a pencil is a family of geometric objects with a common property, for example the set of lines that pass through a given point in a plane
Pencil_(geometry)
Branch of mathematics
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.
Differential_geometry
Geometry of stereo vision
Epipolar geometry is the geometry of stereo vision. When two cameras view a 3D scene from two distinct positions, there are a number of geometric relations
Epipolar_geometry
Study of geometries as axiomatic systems
Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean
Foundations_of_geometry
Non-Euclidean geometry
Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel
Elliptic_geometry
Topics referred to by the same term
Geometrically (algebraic geometry), a property of a variety or scheme that holds after base change to a geometric point Geometry (Robert Rich album), a
Geometry_(disambiguation)
Type of geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that
Projective_geometry
Homogeneous quotient space of a semisimple Lie group by a parabolic subgroup
projective geometry by gluing copies of the projective space to the tangent spaces of the base manifold. Broadly speaking, projective geometry refers to
Parabolic geometry (differential geometry)
Parabolic_geometry_(differential_geometry)
Geometry emanating from Egypt
Egyptian geometry refers to geometry as it was developed and used in Ancient Egypt. Their geometry was a necessary outgrowth of surveying to preserve
Egyptian_geometry
Property of geometry, also used to generalize the notion of "distance" in metric spaces
triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality
Triangle_inequality
Branch of differential geometry
("On the Hypotheses on which Geometry is Based"). It is a very broad and abstract generalization of the differential geometry of surfaces in R3. Development
Riemannian_geometry
Branch of algebraic geometry
arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around
Arithmetic_geometry
Configuration of atoms within a molecule
trigonal pyramid is a molecular geometry with one atom at the apex and three atoms at the corners of a trigonal base, resembling a tetrahedron (not to
Trigonal pyramidal molecular geometry
Trigonal_pyramidal_molecular_geometry
Geometry without the parallel postulate
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally
Absolute_geometry
Type of non-Euclidean geometry
mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate
Hyperbolic_geometry
Type of geometry
Klein geometry (G, H), there is a geometrically oriented geometry canonically associated to (G, H) with the same base space G/H. This is the geometry (G0
Klein_geometry
Branch of mathematics
Noncommutative geometry (NCG) is a branch of mathematics that studies geometric ideas through noncommutative algebras. In ordinary geometry, a space can
Noncommutative_geometry
Relate the direct image and the pull-back of sheaves
proper or g flat, similarly in analytic geometry, but also for étale sheaves for f proper or g smooth. A simple base change phenomenon arises in commutative
Base_change_theorems
Geometry without using coordinates
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic
Synthetic_geometry
Geometric line segment whose endpoints lie on a circular arc
In geometry, a chord (from Latin chorda 'catgut, string') of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord
Chord_(geometry)
Model for predicting molecular geometry
vəˈsɛpər/ VESP-ər, və-SEP-ər) is a model used in chemistry to predict the geometry of individual molecules from the number of electron pairs surrounding their
VSEPR_theory
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
Geometric system with a finite number of points
points. A geometry based on the graphics displayed on a computer screen, where the pixels are considered to be the points, would be a finite geometry. While
Finite_geometry
Polyhedron with 7 faces
In geometry, a hexagonal pyramid is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point (the apex)
Hexagonal_pyramid
Shape of certain five-ligand chemical complexes
would be that of a pyramid with a square base. The point group symmetry involved is of type C4v. The geometry is common for certain main group compounds
Square pyramidal molecular geometry
Square_pyramidal_molecular_geometry
Study of angle-preserving transformations
In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines
Inversive_geometry
Point on a line segment which is equidistant from both endpoints
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and
Midpoint
Artificial intelligence (AI) program
rule-based symbolic engine (Deductive Database Arithmetic Reasoning). It was developed by DeepMind, a subsidiary of Google. The program solved 25 geometry
AlphaGeometry
Straight figure with zero width and depth
In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature. It is a special case of a curve
Line_(geometry)
Diophantine geometry. For simplicity, a reference to the base scheme is often omitted; i.e., a scheme will be a scheme over some fixed base scheme S and
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
computer environments for studying school geometry: supposers[vague], dynamic geometry environments (DGEs) and Logo-based programs. Most are DGEs: software that
List of interactive geometry software
List_of_interactive_geometry_software
Theoretical object in mathematics
F is an extension of k). The hope of F1‑geometry is that a suitable object F1 could play the role of this base field, which would allow for a proof of
Field_with_one_element
Topics referred to by the same term
mathematics, base change may mean: Base change map in algebraic geometry Fiber product of schemes in algebraic geometry Change of base (disambiguation)
Base_change
Relation used in geometry
affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines
Parallel_(geometry)
Biometric identification
Hand geometry is a biometric that identifies users from the shape of their hands. Hand geometry readers measure a user's palm and fingers along many dimensions
Hand_geometry
Property of objects which are scaled or mirrored versions of each other
In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely
Similarity_(geometry)
Branch of mathematics concerned with the movement of shapes and sets
mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups
Transformation_geometry
Study of complex manifolds and several complex variables
geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry
Complex_geometry
Battery-powered mid-size sedan produced by Chinese auto brand Geometry
Geometry brand. The Geometry C is the second model of the Geometry brand. It was developed based on the Geely Emgrand GS, and comes in a choice of two battery
Geometry_C
Skeletonized version of algebraic geometry
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication
Tropical_geometry
Convex polyhedron with regular faces
In geometry, a Johnson solid, sometimes also known as a Johnson–Zalgaller solid, is a convex polyhedron whose faces are regular polygons and that is not
Johnson_solid
Use of software to manipulate a digital object
limitations. The majority of digital sculpting tools on the market use mesh-based geometry, in which an object is represented by an interconnected surface mesh
Digital_sculpting
Technique in statistics
Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It
Information_geometry
Triangle with at least two sides congruent
In geometry, an isosceles triangle (/aɪˈsɒsəliːz/) is a triangle that has two sides of equal length and two angles of equal measure. Sometimes it is specified
Isosceles_triangle
Quadrilateral with only 3 right angles
elliptic geometry it is an obtuse angle. A Lambert quadrilateral can be constructed from a Saccheri quadrilateral by joining the midpoints of the base and
Lambert_quadrilateral
3D computer graphics program
permanently altering the original geometry. Instead, the modifications are applied as separate layers on top of the base geometry, which can be easily adjusted
Autodesk_3ds_Max
Pyramid with a pentagon base
In geometry, a pentagonal pyramid is a pyramid with a pentagon base and five triangular faces, having a total of six faces. It is categorized as a Johnson
Pentagonal_pyramid
Branch of geometry
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying
Contact_geometry
Quadrilateral with two equal sides perpendicular to the base
the summit for any base and sides is equivalent to the parallel postulate, leading to Euclidean geometry. In hyperbolic geometry, arising from the negation
Saccheri_quadrilateral
Polyhedron defined by two triangles and three trapezoid faces
In solid geometry, a wedge is a polyhedron defined by two triangles and three trapezoid faces. A wedge has five faces, nine edges, and six vertices. A
Wedge_(geometry)
Vector relating the initial and the final positions of a moving point
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing
Displacement_(geometry)
kernels and offers equivalent geometry and timing APIs with optional Python bindings. Those unable to write their own SPICE-based program may try using WebGeocalc
SPICE (observation geometry system)
SPICE_(observation_geometry_system)
In algebraic geometry, the abundance conjecture is a conjecture in birational geometry, more precisely in the minimal model program, stating that for
Abundance_conjecture
Area of mathematics
Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there
Discrete differential geometry
Discrete_differential_geometry
In geometry, a convex polyhedron whose faces are regular polygons is known as a Johnson solid, or sometimes as a Johnson–Zalgaller solid. Some authors
List_of_Johnson_solids
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
Geometric axiom
In geometry, the parallel postulate is the fifth postulate in Euclid's Elements and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional
Parallel_postulate
VLSI chip
the IRIS 1000, a terminal with hardware-accelerated 3D graphics based on the Geometry Engine. It was capable of approximately 6 million operations per
Geometry_Engine
Mathematical treatise by Euclid
and theorems with their proofs that covers plane and solid Euclidean geometry, elementary number theory, and incommensurability. These include the Pythagorean
Euclid's_Elements
Math research center at the University of Minnesota
The Geometry Center was a mathematics research and education center at the University of Minnesota. It was established by the National Science Foundation
Geometry_Center
Set of n^3 + 1 points arranged into subsets of n + 1
In geometry, a unital is a set of n 3 + 1 {\displaystyle n^{3}+1} points arranged into subsets of size n + 1 so that every pair of distinct points of the
Unital_(geometry)
telecommunications, stochastic geometry models of wireless networks refer to mathematical models based on stochastic geometry that are designed to represent
Stochastic geometry models of wireless networks
Stochastic_geometry_models_of_wireless_networks
Method in computer graphics
is a method of clipping a mipmap to a subset of data pertinent to the geometry being displayed. The technique was introduced by Christopher C. Tanner
Clipmap
Nucleic acid pairing variations
T formed a base pair that had a different geometry from that described by Watson and Crick. Similarly, an alternative base-pairing geometry can occur for
Hoogsteen_base_pair
Mathematical set with some added structure
principal base set. For example, two-dimensional projective geometry may be formalized via two base sets, the set of points and the set of lines. Moreover
Space_(mathematics)
Geometrical concept
In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional
Cross_section_(geometry)
In geometry, a centre (Commonwealth English) or center (American English) (from Ancient Greek κέντρον (kéntron) 'pointy object') of an object is a point
Centre_(geometry)
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
Measure of distance in physical space
geometry used in general relativity is an example of such a geometry. In spherical geometry, length is measured along the great circles on the sphere and
Length
Geometric system used in thermodynamics
Ruppeiner geometry is thermodynamic geometry (a type of information geometry) using the language of Riemannian geometry to study thermodynamics. George
Ruppeiner_geometry
Russian mathematician (born 1966)
for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman resigned from his research post
Grigori_Perelman
Study of the 3D shapes of molecules
Molecular geometry is the three-dimensional arrangement of the atoms that constitute a molecule. It includes the general shape of the molecule as well
Molecular_geometry
Research topic in computational geometry
Geometry processing is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms
Geometry_processing
2014 video game
Geometry Wars 3: Dimensions is a 2014 multidirectional shoot 'em up video game developed by Lucid Games and published by Activision under the Sierra Entertainment
Geometry_Wars_3:_Dimensions
Area of research
Architectural geometry is an area of research which combines applied geometry and architecture, which looks at the design, analysis and manufacture processes
Architectural_geometry
Prism with a 6-sided base
In geometry, the hexagonal prism is a prism with hexagonal base. this polyhedron has 8 faces, 18 edges, and 12 vertices. A hexagonal prism has twelve vertices
Hexagonal_prism
1932 book by David Hilbert and Stefan Cohn-Vossen
Geometry and the Imagination is the English translation of the 1932 book Anschauliche Geometrie by David Hilbert and Stefan Cohn-Vossen. The book was based
Geometry_and_the_Imagination
Distance from an arc's midpoint to the midpoint of its chord
In geometry, the sagitta (sometimes abbreviated as sag, plural is sagittae) of a circular arc is the distance from the midpoint of the arc to the midpoint
Sagitta_(geometry)
BASE GEOMETRY
BASE GEOMETRY
Surname or Lastname
English and Scottish
English and Scottish : from the Middle English personal name Bat(t)e, a pet form of Bartholomew.
Surname or Lastname
German
German : nickname for a swift runner or a timorous person, from Middle High German, Middle Low German hase ‘hare’.Jewish (Ashkenazic) : ornamental name from German Hase ‘hare’.English : from a Middle English nickname, Hase, from Old English hÄs ‘harsh, raucous, or hoarse voice’.Japanese : usually written with characters meaning ‘long valley’; habitational name from a place in Yamato (now Nara prefecture). Listed in the Shinsen shÅjiroku. Some bearers are descended from the Taira clan; they are found mainly in eastern Japan. Also pronounced Nagaya and Nagatani; the original pronunciation was Hatsuse, meaning ‘beginning of the strait’.
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Surname or Lastname
English
English : probably from a Middle English survival of the Old English personal name Bad(d)a, which is of uncertain origin, perhaps a short form of the various compound names with the first element beadu ‘battle’.North German : from a short form of a Germanic personal name composed with badu ‘strife’, ‘battle’.North German : occupational name from Middle Low German bade ‘messenger’.
Boy/Male
Muslim
Eye-sight, Wisdom, Sight
Female
Yiddish
(בַ×ש×ֶע) Variant spelling of Yiddish Basha, BASHE means "daughter of God."
Surname or Lastname
English
English : variant of Bach 3.Americanized spelling of German or Jewish Basch.Americanized spelling of Slovenian Baš (see Bas 3).
Male
Hindi/Indian
Variant form of Hindi Vasu, BASU means "dweller."
Surname or Lastname
English (East Midlands)
English (East Midlands) : variant of Bayes.
Boy/Male
Tamil
Base
Boy/Male
Hindu
Prosperous, Dweller
Female
Egyptian
, Child of Bast.
Boy/Male
Indian
Base
Female
English
English pet form of Greek Barbara, BABE means "foreign; strange." Compare with masculine Babe.
Surname or Lastname
French and Swiss (French part)
French and Swiss (French part) : metonymic occupational name for a baker, from Old French bise ‘large round loaf’.English and Scottish : perhaps a variant of Biss. Compare Beese, Bice, Buys, Buys.
Surname or Lastname
English
English : from Anglo-Norman French cas(s)e ‘case’, ‘container’ (from Latin capsa), hence a metonymic occupational name for a maker of boxes or chests.Americanized spelling of French Caisse.Americanized spelling of Kaas.Americanized spelling of German Käse, a metonymic occupational name for a maker or seller of cheese. Compare Kaeser.
Male
English
Short form of English Basil, BAS means "king" or "basil (the herb)."
Surname or Lastname
English and Dutch
English and Dutch : variant spelling of Bay.
Boy/Male
Muslim
Smiling
Male
Hawaiian
Hawaiian name BANE means "long-awaited child."
BASE GEOMETRY
BASE GEOMETRY
Girl/Female
Gujarati, Hindu, Indian, Marathi
River Water; Little Charm; Sun
Biblical
splendor of the dawn
Girl/Female
Indian
Life
Boy/Male
Sikh
Kings Love
Surname or Lastname
English
English : habitational name from either of two places called Birley, in Derbyshire and Herefordshire, or from Bierley in West Yorkshire (see Bierley).Americanized spelling of German Beierle.
Boy/Male
Hindu, Indian, Telugu
Good Smile; Always Happy; Fragrance
Girl/Female
Hindu
Full Moon, The person with knowledge as the Moon
Female
Persian/Iranian
(مینو) Persian name MINOO means "heaven, paradise."
Male
Hebrew
(פְּקַחְיָה) Hebrew name PEQACHYAH means "Jehovah sees" or "whose eyes Jehovah opened." In the bible, this is the name of a king of Samaria, the son of king Menahem.
Girl/Female
Hindu, Indian
Flower
BASE GEOMETRY
BASE GEOMETRY
BASE GEOMETRY
BASE GEOMETRY
BASE GEOMETRY
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
a.
Of little, or less than the usual, height; of low growth; as, base shrubs.
a.
Having a base, or having as a base; supported; as, broad-based.
a.
To abase; to let, or cast, down; to lower.
n.
A low, or deep, sound. (Mus.) (a) The lowest part; the deepest male voice. (b) One who sings, or the instrument which plays, base.
n.
A rustic play; -- called also prisoner's base, prison base, or bars.
n.
The bottom of anything, considered as its support, or that on which something rests for support; the foundation; as, the base of a statue.
n.
To put on a base or basis; to lay the foundation of; to found, as an argument or conclusion; -- used with on or upon.
a.
Not held by honorable service; as, a base estate, one held by services not honorable; held by villenage. Such a tenure is called base, or low, and the tenant, a base tenant.
n., a., & v.
See Base.
imp. & p. p.
of Base
n.
The number from which a mathematical table is constructed; as, the base of a system of logarithms.
a.
Deep or grave in sound; as, the base tone of a violin.
a.
Morally low. Hence: Low-minded; unworthy; without dignity of sentiment; ignoble; mean; illiberal; menial; as, a base fellow; base motives; base occupations.
a.
Alloyed with inferior metal; debased; as, base coin; base bullion.
pl.
of Bass
n.
Same as Prison base.
n.
A box, sheath, or covering; as, a case for holding goods; a case for spectacles; the case of a watch; the case (capsule) of a cartridge; a case (cover) for a book.