Concept cluster: Math and astronomy > Analytical Geometry
n
(geometry) The horizontal line representing an axis of a Cartesian coordinate system, on which the abscissa (sense above) is shown.
adj
(geometry) Being a double point with two distinct tangent planes in 4-dimensional projective space.
n
(mathematics) A mathematical problem in which lines drawn from two points in the plane of a circle must meet at a point on the circumference, making equal angles with the normal at that point.
n
(communication theory) A graphical representation that reveals the exponential drop in frequency of communication between engineers as the distance between them increases.
n
A magic square in which the number of letters in the name of each number in the square generates another magic square.
n
(geometry) The distance measured perpendicularly from a figure's vertex to the opposite side of the vertex.
n
(mathematics, geometry) The difference between two quantities or lengths commensurable only in power, as between 1 and the square root of 2, or between the diagonal and side of a square.
n
(mathematics) A line at right angles to the axis of a conic section that extends from the axis to the curve
n
(mathematics) A continuous mapping from a real interval (typically [0, 1]) into a space.
n
(mathematics) A measure of the extent of a surface; it is measured in square units.
n
A kind of diagram used to plot the positions of the poles and zeroes of a function in the complex plane.
n
(mathematics) A fixed one-dimensional figure, such as a line or arc, with an origin and orientation and such that its points are in one-to-one correspondence with a set of numbers; an axis forms part of the basis of a space or is used to position and locate data in a graph (a coordinate axis)
n
(computing theory) An orthonormal basis that is adapted to geometric boundaries, used in image processing.
n
(mathematics) A point that marks the beginning and the end of a topological loop
n
(mathematics, physics) Informally, a set of points from which a dynamical system spontaneously moves to a particular attractor.
adj
(geometry) Having nodes at the two circular points at infinity.
n
Alternative form of bidisc [(mathematics) A polydisc of the second order]
adj
(mathematics) Of a magic cube: remaining magic even if all its numbers are replaced by their kth power for 1 ≤ k ≤ 2.
adj
Relating to a bitangent.
n
(mathematics, signal processing) A form of the top-hat transform that finds the elements in the input image that are darker than their surroundings.
n
(algebraic geometry) The coordinates of a point measured as its perpendicular distance to the right of a vertical axis (the y-axis) and its perpendicular distance above a horizontal axis (the x-axis).
n
(US) Alternative letter-case form of Cartesian distance [(algebraic geometry) Euclidean distance.]
n
(geometry) The set of all points in a planar coordinate system.
n
(statistics, geometry) A generalization of the median to data in higher-dimensional Euclidean space.
n
(mathematics) Synonym of Chebyshev distance
n
(mathematics) A centroid of a cluster
n
(mathematics) One of the directional motion vectors perpendicular to a cocone.
n
(countable) Used other than figuratively or idiomatically: see complex, geometry.
n
(geometry) A geometric figure of arcs and line segments that is drawable with a straightedge and compass.
n
(geometry) Contact; touching.
n
(mathematics, cartography, astronomy) A number representing the position of a point along a line, arc, or similar one-dimensional figure.
n
(mathematics, geometry) One of the lines in the coordinate system that represents one of the dimensions.
n
(geometry, mathematical analysis) A method of representing the position of any individual point in a space of given dimensionality as a tuple of numerical coordinates.
n
(mathematics) The dual of a plane.
n
(computational geometry) A small set of points that approximates the shape of a larger point set, in the sense that applying some geometric measure to the two sets (such as their minimum bounding box volume) results in approximately equal numbers.
n
(rare) Alternative spelling of coordinate [(mathematics, cartography, astronomy) A number representing the position of a point along a line, arc, or similar one-dimensional figure.]
n
(geometry) A special number associated with an ordered quadruple of collinear points, particularly points on a projective line, and preserved by the fractional linear transformations.
n
(mathematics) The act of finding the volume or cubic content of a body; the result thus found.
n
(mathematics) Any of a family of fractal shapes generated iteratively from a given irrational number
n
(mathematics) The extent to which a subspace is curved within a metric space.
n
(algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
n
(geometry) A plane that intersects a solid shape
adj
(software engineering) Of or relating to a software metric that measures the complexity of a program based on the number of linearly independent paths through the source code.
n
(geometry) The amount by which the number of double points on a curve is short of the maximum for curves of the same degree.
n
(geometry) A configuration of ten points and ten lines, with three points per line and three lines per point, whose existence is proven by Desargues' theorem.
n
(geometry) A developable surface.
n
(geometry) The length of such a line.
n
(geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
n
(geometry) A line used to define a curve or surface; especially a line, the distance from which a point on a conic has a constant ratio to that from the focus.
n
Any algebraic expression that gives the distance between two points in a particular coordinate system in a particular number of dimensions
n
(mathematics) The sum of two or more dyads
n
(geometry) A theorem which states that, in 3-dimensional space, any displacement of a rigid body such that some point on it remains fixed is equivalent to a single rotation about some axis that runs through said point.
n
(geometry) The opening out of a curve; now more generally, the gradual transformation of a curve by a change of the conditions generating it.
n
A right-angled triangular array of the natural numbers, whose generation is often set as an exercise in computer science education.
n
(differential geometry) The product of the principal curvatures of a surface at a given point.
n
(mathematics) A Gaussian curve.
n
(geometry) One of the lines of a ruled surface; more generally, an element of some family of linear spaces.
n
(mathematics) The shortest line between two points on a specific surface.
n
(mathematics, often qualified in combination, countable) A mathematical system that deals with spatial relationships and that is built on a particular set of axioms; a subbranch of geometry which deals with such a system or systems.
n
(mathematics) The locus described by any point attached to a curve that moves continuously along another fixed curve, the movable curve having no rotation at any instant.
n
(computer graphics) A particular fractal object, a space-filling curve that can tile the plane.
n
The superposition of two Latin squares such that the result is also a Latin square.
n
(mathematics) Any point in the Cartesian plane with integer coordinates
n
(geometry) ray; a line extending indefinitely in one direction from a point.
n
(mathematics) Either half of an infinite plane (divided by a straight line)
n
Alternative form of half-edge [(graph theory) An edge that is attached to only one node, rather than connecting two of them, or is connected in only one direction]
n
(mathematical analysis) Synonym of Hausdorff metric
n
(mathematics) The vertical line in the complex plane, every point on which corresponds to a complex number having zero real component
n
(geometry) The falling of a point on a line, or a line on a plane.
n
(geometry) A point of a curve.
n
(mathematics) a point of inflection
n
(algebraic geometry) The coordinate of the point at which a curve intersects an axis.
n
(geometry) That which intersects.
n
(geometry) The branch of geometry concerned with inversion transformations, specifically circle inversions in the Euclidean plane, but also as generalised in non-Euclidean and higher-dimensional spaces.
n
(statistics) A complex-time (kime) generalisation of time series.
n
Alternative form of Lagrangian [(astrophysics) an object residing in a Lagrange point / Lagrangian point]
n
(mathematics) Any of three disjoint connected open sets of the plane or open unit square with the counterintuitive property that they all have the same boundary.
n
(mathematics) gridpoint
n
(trigonometry) A statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides.
n
(mathematics) Distance between the two ends of a line segment.
n
(geometry, informal) A line segment; a continuous finite segment of such a figure.
n
(mathematics) A line on a scatter plot that best defines or expresses the trend shown in the plotted points. It is chosen so that the sum of the squares of the distances from the points to the line is a minimum. It also illustrates the correlation (positive, negative, or zero correlation) between the plotted variables.
n
(geometry) A part of a straight line bounded by two points.
n
(mathematics, dated) the set of points in 3-dimensional space that are also points in 4-dimensional space
n
(computing) A curve with linear interpolation between points, used in geographic information systems e.g. to represent streets and rivers.
n
(mathematics) The set of all points whose coordinates satisfy a given equation or condition.
n
(number theory) An n-by-n arrangement of n² numbers such that the numbers in each row, in each column and along both diagonals all have the same sum.
n
The sum of the horizontal and vertical distances between points on a grid
n
(education) An informal space where people study and discuss mathematics, often involving games, hands-on activities, or competition.
n
(mathematics) non-Euclidean geometry
n
(computer graphics) A polyline.
adj
(mathematics) Of a magic cube: remaining magic even if all its numbers are replaced by their kth power.
n
(number theory, recreational mathematics) A magic square that remains magic even if all its numbers are replaced by their kth powers for 1 ≤ k ≤ P.
n
(computer graphics) A collection of points treated as a single object.
n
Alternative spelling of n space [(mathematics) n-dimensional Euclidean space]
n
(geometry) A line or vector that is perpendicular to another line, surface, or plane.
n
(mathematics) A vector space which is additionally equipped with a norm.
n
Non-Uniform Rational B-Spline (Non-Uniform Rational Basis Spline): a mathematical model used in computer graphics for generating and representing curves and surfaces
n
A treelike data structure each of whose nodes has up to eight children, most often used to partition a three-dimensional space by recursively subdividing it.
n
(geometry) A well-defined point outside the hyperbolic plane.
n
(geometry) The vertical line representing an axis of a Cartesian coordinate system, on which the ordinate (sense above) is shown.
n
(engineering) A dimension marking the distance between the indicated point and an implicit zero ordinate.
n
(analytic geometry, topology, countable) The designation of a parametrised curve as "positively" or "negatively" oriented (or "nonorientable"); the analogous description of a surface or hypersurface.
n
(mathematics) The point at which the axes of a coordinate system intersect.
adj
Of a pair of vectors: having a zero inner product; perpendicular.
v
(mathematics) To touch so as to have the same tangent and curvature at the point of contact.
n
(mathematics) A contact between curves or surfaces, at which point they have a common tangent
n
(geometry) An axiom of Euclidean geometry equivalent to the statement that, given a straight line L and a point P not on the line, there exists exactly one straight line parallel to L that passes through P; a variant of this axiom, such that the number of lines parallel to L that pass through P may be zero or more than one.
n
(geometry) A way of transporting geometrical data along smooth curves in a manifold.
n
(mathematics) a set of equations that defines the coordinates of the dependent variables (x, y and z) of a curve or surface in terms of one or more independent variables or parameters
n
(mathematical analysis) A space-filling curve in the 2-dimensional plane.
n
(mathematics) The length of such a boundary.
n
(mathematics) A two-dimensional vector field of the phase between two variables
n
(mathematics) Cuspidal point, a type of singular point on an algebraic surface
n
(anatomy) An imaginary plane which divides the body into two portions.
n
(geometry) Any of six homogeneous coordinates assigned to a line in projective 3-space, used in geometric algebra and computer graphics.
n
(geometry, Euclidean projective geometry) Any point added to a space to achieve projective completion.
n
(geometry) An image of an object on a surface of fewer dimensions.
n
(geometry) The projection onto an n − 1 dimensional hyperplane (which is extended so as to be projective) of a set of n + 1 affinely independent n-dimensional points (called an affine frame).
n
(projective geometry) A line that includes a point at infinity; a line in a projective space; a projective space of dimension 1.
n
(geometry) A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point.
n
(geometry) A projective relationship between a line and itself by projecting onto an intersecting line from a point on another line that intersects at the same point, and then back on to the first line from a different point on the first intersecting line.
n
(mathematics) A neighborhood of a point in a space with an order, minus the point itself.
n
(mathematics) A surface or curve whose shape is defined in terms of a quadratic equation
adj
Alternative form of quadrinomial [Consisting of four names or parts or terms.]
adj
(mathematics) multiperfect such that σ(n) = 4n
n
(mathematics) The interior of a quasicircle.
adj
(mathematics) Partially perpendicular.
n
(mathematics) The line containing the locus of points from which the segments respectively tangent to two given circles have equal length.
n
(mathematics) A straight line (or the length of such line) connecting any point, as of a curve, with a fixed point, or pole, round which the straight line turns, and to which it serves to refer the successive points of a curve, in a system of polar coordinates.
n
(mathematics) A line extending indefinitely in one direction from a point.
adj
(mathematics) Generated or modified by a runcicantellation.
n
(geometry) A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane.
n
Alternative form of saddle point [(geometry) A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane.]
n
An orientable surface whose boundary is a given link.
n
(mathematics) Either of two regions making up a space.
n
(mathematics) A transformation that displaces every point in a direction parallel to some given line by a distance proportional to the point’s distance from the line.
n
(mathematics, computing) Acronym of spherical linear interpolation. [Interpolation by transformation into quaternions, followed by lerp, followed by the reverse transformation.]
n
(mathematics) The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.
n
(geometry) A set of points, each of which is uniquely specified by a number (the dimensionality) of coordinates.
n
(mathematics) The product of a number or quantity multiplied by itself; the second power of a number, value, term or expression.
adj
(mathematics) Not divisible by a nontrivial square.
n
(mathematics) A point on a curve where the gradient is zero. This point can be a maximum, a minimum, or a point of inflection.
n
(electronics) One vertex of a Steiner tree.
n
(computer science) Any of several metrics that represent the degree of similarity between two strings of characters, based on the smallest number of transformations that can change one into the other.
adj
(mathematics) Having an order less than cubic
adj
(geometry) That subtends; that lies opposite to a specified angle or point.
n
(mathematics) The equivalent of a Latin square in greater than two dimensions
n
(mathematics, geometry) The locus of an equation (especially one with exactly two degrees of freedom) in a more-than-two-dimensional space.
adj
Placed in or among, as if woven together.
adj
(geometry) Touching a curve at a single point but not crossing it at that point.
n
(geometry) Alternative form of taxicab distance [(mathematics) the distance between two points located on a grid, where the only path allowed is vertical and horizontal lines.]
n
Alternative form of taxicab distance [(mathematics) the distance between two points located on a grid, where the only path allowed is vertical and horizontal lines.]
n
(mathematics) the distance between two points located on a grid, where the only path allowed is vertical and horizontal lines.
n
(geometry) A non-Euclidean geometry in which the distance between two points is the sum of the absolute differences between their corresponding coordinates.
n
(geometry) Alternative form of taxicab distance [(mathematics) the distance between two points located on a grid, where the only path allowed is vertical and horizontal lines.]
n
(mathematics, signal processing) A particular operation that extracts small elements and details from images.
n
(geometry) The intersection of a plane of projection, or an original plane, with a coordinate plane.
n
(geometry) A curve that satisfies the following property: that segment of the tangent line that lies between the point of tangency and a fixed line has length independent of the point of tangency chosen.
n
(mathematics) A line drawn on a graph that approximates the trend of a number of disparate points.
n
(geometry, mathematical analysis) The branch of mathematics that deals with the relationships between the sides and angles of (in particular) right-angled triangles, as represented by the trigonometric functions, and with calculations based on said relationships.
n
(mathematical economics) A trajectory on a finite time interval that satisfies an optimality criterion which is associated with a cost function.
n
(geometry) A surface of revolution of an elliptic catenary
n
(mathematics) A point on the curve with a local minimum or maximum of curvature.
n
(cartography) The vertical distance on the ground which separates adjacent contour lines on a map.
n
(mathematics, signal processing) A form of the top-hat transform that finds the elements in the input image that are brighter than their surroundings.
n
(algebraic geometry) The axis on a graph that is usually drawn left to right and usually shows the range of values of an independent variable.
n
(algebraic geometry) The axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable, or the second of two independent variables.
n
(mathematics) A point at which a line crosses the y-axis of a Cartesian grid.
n
(algebraic geometry) The axis on a graph of at least three dimensions that is usually drawn vertically and usually shows the range of values of a variable dependent on two other variables or the third independent variable.
n
(algebraic geometry) The direction aligned with the z-axis of a coordinate system.
n
(mathematics) A point at which a line crosses the z-axis of a Cartesian grid.
adj
relating to the square of a number

Note: Concept clusters like the one above are an experimental OneLook feature. We've grouped words and phrases into thousands of clusters based on a statistical analysis of how they are used in writing. Some of the words and concepts may be vulgar or offensive. The names of the clusters were written automatically and may not precisely describe every word within the cluster; furthermore, the clusters may be missing some entries that you'd normally associate with their names. Click on a word to look it up on OneLook.
  Reverse Dictionary / Thesaurus   Datamuse   Compound Your Joy   Threepeat   Spruce   Feedback   Dark mode   Help


Our daily word games Threepeat and Compound Your Joy are going strong. Bookmark and enjoy!

Today's secret word is 8 letters and means "Believable and worthy of trust." Can you find it?