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GEOMETRY
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I. (noun)
Sense 1
Meaning:
The pure mathematics of points and lines and curves and surfaces
Classified under:
Nouns denoting cognitive processes and contents
Hypernyms ("geometry" is a kind of...):
pure mathematics (the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness)
Domain category:
math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)
Domain member category:
translate (change the position of (figures or bodies) in space without rotation)
construct (draw with suitable instruments and under specified conditions)
inscribe (draw within a figure so as to touch in as many places as possible)
circumscribe (to draw a geometric figure around another figure so that the two are in contact but do not intersect)
truncate (replace a corner by a plane)
congruent (coinciding when superimposed)
incongruent (not congruent)
normal (forming a right angle)
right (having the axis perpendicular to the base)
diagonal ((geometry) a straight line connecting any two vertices of a polygon that are not adjacent)
lemniscate (any of several plane algebraic curves in the shape of a figure eight)
angle of inclination; inclination ((geometry) the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis))
foursquare; square ((geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon)
eccentricity ((geometry) a ratio describing the shape of a conic section; the ratio of the distance between the foci to the length of the major axis)
conic; conic section ((geometry) a curve generated by the intersection of a plane and a circular cone)
pencil (a figure formed by a set of straight lines or light rays meeting at a point)
plane section; section ((geometry) the area created by a plane cutting through a solid)
duality ((geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry)
superposition ((geometry) the placement of one object ideally in the position of another one in order to show that the two coincide)
Hyponyms (each of the following is a kind of "geometry"):
affine geometry (the geometry of affine transformations)
elementary geometry; Euclidean geometry; parabolic geometry ((mathematics) geometry based on Euclid's axioms)
fractal geometry ((mathematics) the geometry of fractals)
non-Euclidean geometry ((mathematics) geometry based on axioms different from Euclid's)
spherical geometry ((mathematics) the geometry of figures on the surface of a sphere)
analytic geometry; analytical geometry; coordinate geometry (the use of algebra to study geometric properties; operates on symbols defined in a coordinate system)
plane geometry (the geometry of 2-dimensional figures)
solid geometry (the geometry of 3-dimensional space)
descriptive geometry; projective geometry (the geometry of properties that remain invariant under projection)
Derivation:
geometric (of or relating to or determined by geometry)
geometrical (characterized by simple geometric forms in design and decoration)
geometrical (of or relating to or determined by geometry)
geometrician (a mathematician specializing in geometry)
Context examples:
This study suggests that the most important factor for determining HFA size is the geometry and size of the planet's bow shock.
(Messenger spots giant space weather effects at Mercury, NASA)
Octahedral molecular geometry where the Cahn-Ingold-Prelog (CIP) priority of the lowest priority donor atom directly across from (trans to) a priority 1 donor atom is 2 and the priority of the donor atom across from (trans to) the highest priority atom in the plane perpendicular to this reference axis is 2.
(Octahedral 22 Molecular Geometry, NCI Thesaurus)
Octahedral molecular geometry where the Cahn-Ingold-Prelog (CIP) priority of the lowest priority donor atom directly across from (trans to) a priority 1 donor atom is 2 and the priority of the donor atom across from (trans to) the highest priority atom in the plane perpendicular to this reference axis is 1.
(Octahedral 21 Molecular Geometry, NCI Thesaurus)
Octahedral molecular geometry where the Cahn-Ingold-Prelog (CIP) priority of the lowest priority donor atom directly across from (trans to) a priority 1 donor atom is also 1 and the priority of the donor atom across from (trans to) the highest priority atom in the plane perpendicular to this reference axis is 2.
(Octahedral 12 Molecular Geometry, NCI Thesaurus)
Testing devices for problems related to the presence of an inappropriate molecular geometry somewhere in the device (i.e., the spatial arrangement of atoms in a molecule and the chemical bonds that hold the atoms together).
(Device Structure Testing Evaluation Method, Food and Drug Administration)
With traditional cancer therapy if you’re designing new drugs to treat the system, these can have different behaviours, geometries, sizes, and so you’d need a MOF that is optimal for each of these individual drugs, says Fairen-Jimenez.
(Nanoparticles used to transport anti-cancer agent to cells, University of Cambridge)
Device problems related to the presence of an inappropriate molecular geometry somewhere in the device (i.e., the spatial arrangement of atoms in a molecule and the chemical bonds that hold the atoms together).
(Device Structure Problem Evaluation Result, Food and Drug Administration)
Their houses are very ill built, the walls bevil, without one right angle in any apartment; and this defect arises from the contempt they bear to practical geometry, which they despise as vulgar and mechanic; those instructions they give being too refined for the intellects of their workmen, which occasions perpetual mistakes.
(Gulliver's Travels into several remote nations of the world, by Jonathan Swift)
The geometry of the nanoparticles when they bind into clusters determines which colour they appear as: when the nanoparticles are spread apart they are red and when they cluster together they are dark blue.
(Colour-changing artificial ‘chameleon skin’ powered by nanomachines, University of Cambridge)
One day, because the days were so short, he decided to give up algebra and geometry.
(Martin Eden, by Jack London)