adj
(geometry, uncommon) Not self-intersecting.
n
(topology) Any topological space homeomorphic to the region in a plane between two concentric circles of different radius.
n
(geometry) A line that forms equal angles with two other lines, but in opposite directions.
n
A quadrilateral in which the pairs of nonadjacent sides are congruent, but in which two opposite sides intersect and are therefore not parallel.
adj
(trigonometry) Relating to the arctangent.
n
(computer graphics, informal) A Bézier curve.
n
(geometry) A double point of a surface whose tangent cone consists of two different planes.
n
(mathematics) A line that is at right angles to both the normal and the tangent of a point on a curve and, together with them, forms three orthogonal axes
n
(mathematics) A secant that cuts a curve at exactly two points
adj
(geometry) Of or relating to a tangential coordinate system invented by James Booth.
n
(mathematics) A cycloid; the curve of fastest descent between two points.
n
(mathematics, computer graphics) A type of parametric curve defined by a set of control points, two of which are the ends of the curve, while the others determine its shape.
n
(mathematics) a regular grid consisting of squares, cubes, or more generally unit hypercubes
n
(geometry) A plane curve defined as the set (or locus) of points in the plane such that the product of the distances to two fixed points is constant (related to an ellipse, for which the sum of the distances is constant).
n
(mathematics) Alternative form of coordinate axis [(mathematics, geometry) One of the lines in the coordinate system that represents one of the dimensions.]
adj
(geometry) A curve, polygon or other figure that crosses or intersects itself.
n
(mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts).
n
(geometry) A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.
n
(geometry) Any of the four distinct shapes that are the intersections of a cone with a plane, namely the circle, ellipse, parabola and hyperbola.
n
(mathematics) An explementary angle.
adj
(mathematics, not comparable, of a set in Euclidean space) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
n
(trigonometry) law of cosines
n
(trigonometry) The coversed sine.
n
(mathematics) A particular cubical set together with an isomorphism
n
(analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
n
The difference between the number of double points on a curve and the maximum possible for a curve of that degree
n
(geometry) A point of a curve where the curve is continuous but has no derivative, but such that it has a derivative at every nearby point.
n
(mathematics) the historical problems of dividing the circle into a given number of equal segments, and of constructing regular polygons
n
(geometry) A line or plane at an oblique angle to another.
n
Any of a family of self-similar fractal curves that can be approximated by recursive methods.
n
(mathematics) Any of a family of closed curves having two lobes; they satisfy the general equation y² = α²(x⁴ - x⁶).
n
(geometry) A point of intersection of three lines on a cubic surface.
n
(geometry) A one-dimensional face of a polytope. In particular, the joining line between two vertices of a polygon; the place where two faces of a polyhedron meet.
n
(mathematics) Any circle whose circumference rolls around that of another circle, thus creating a hypocycloid or epicycloid.
adj
(geometry) Of a curve: having tangential segments that are all of the same length.
n
(geometry, obsolete) One of two lines perpendicular to the axis of a cone such that the cosine of the angle between the line and the axis is equal to the ratio of the cosines o the semiangles of the cone.
n
(mathematics) A branch cut between two complex planes.
n
An n-by-n arrangement of n² numbers such that the numbers in each row, in each column and along both diagonals all have different sums.
adj
(geometry) flat; even; applied to surfaces and spaces in which the definitions, axioms, and postulates of Euclid respecting parallel straight lines are assumed to hold true.
n
(geometry) A solid that extends into hyperspace, having more than three dimensions.
n
(geometry) The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
adj
(geometry) That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.
n
(geometry) A curve that cuts all tangents of another curve at right angles; traced by a point on a string that unwinds from a curved object.
n
(mathematics) Any of the moves used in the Kirby calculus for modifying framed links in the 3-sphere.
n
(mathematics) An n-by-n arrangement of n different integers such that each row, each column and each of the two diagonals contains each of the integers once and once only.
n
(geometry) One of the branches of a hyperbola or other curve which extend outward indefinitely.
n
(geometry) A curve with polar equation r²𝜃=a², where a is a constant.
n
(geometry) The line that is perpendicular to a line segment and intersects the line segment at its midpoint.
n
(geometry) A line segment of prescribed length, fitted between two given curves, part of a line that passes through a given point.
n
(analytic geometry) A system in which the coordinate axes are oblique to each other.
n
(geometry) Either of the angles directly opposite to each other when two lines intersect in a plane.
n
(geometry) A plane for which the distance between the points of contact of two nonequal parallel tangents at a circle is the same everywhere.
n
(geometry) A curve whose contact with a given curve at a given point is of a higher order (or involves the equality of a greater number of successive differential coefficients of the ordinates of the curves taken at that point) than that of any other curve of the same kind.
adj
(mathematics) Being a pandiagonal magic square.
n
(geometry) The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).
n
(geometry) In the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.
n
(geometry) For a plane curve C and a given fixed point P, the locus of points X such that PX is perpendicular to a tangent to the curve passing through X.
n
Synonym of square number
adj
(graph theory, of a graph) Able to be embedded in the plane with no edges intersecting.
n
(mathematics) the locus of points in the Euclidean plane that satisfies some geometric or algebraic definition; a curve in a plane (as opposed to higher-dimensional space)
n
The hyperbolic plane, viewed as a disk so that Euclidean circles and lines Euclidean-perpendicular to the disk's surface are hyperbolic lines.
n
(geometry) The point where a tangent line and its curve meet
n
(mathematics) A closed loop that has been twisted in a third dimension.
n
(cryptography) A grid used for fractionating plaintext characters so that they can be represented by a smaller set of symbols.
n
(geometry) The boundary of such a figure.
n
(computer graphics, informal) An arbitrary collection of polygons with no particular distinguishing traits, thus possibly difficult to decompose for rendering.
n
(geometry) A figure made by joining line segments of equal length end to end at right angles.
n
(mathematics) The finite topological space X consisting of four distinct points { a, b, c, d } with the non-Hausdorff topology a,b,c,d,a,b,c,a,b,d,a,b,a,b,∅.
adj
(mathematics) Umbilical in the direction of the mean curvature vector field everywhere.
n
(mathematics) A set of three positive integers a, b, c, and d, for which a²+b²+c²=d²
n
(geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.
n
(mathematics) A curve having ordinates which are a measure of the area (or quadrature) of another curve.
n
(mathematics) an invariant of degree 4
n
(mathematics) An algebraic equation or function of the fourth degree.
n
(mathematics) A four-dimensional hypercomplex number that consists of a real dimension and three imaginary ones (i, j, k) that are each an independent square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.
adj
(mathematics) Of or relating to the fifth degree, such as a quintic polynomial which has the form ax⁵+bx⁴+cx³+dx²+ex+f=0 (containing a term with the independent variable raised to the fifth power).
n
(mathematics) Any of a family of curves that are the loci of points that have a defined relationship between a fixed point and the centre of curvature at each point on another curve
n
(mathematics) The plane containing the circle formed by the intersection of two spheres (or whose points have equal power with respect to two non-intersecting spheres)
n
(mathematics, less common) Cartesian coordinates.
n
(geometry) A curve of constant width made up of circular arcs of constant radius.
n
(mathematics) An ∟ character.
n
(mathematics) Any plane curve that consists of loops (petals) emanating from a central point.
n
(geometry) A straight line that intersects a curve at two or more points.
adj
(mathematics) Of or relating to the square root of the cube of a quantity.
n
(trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.
n
(mathematics) A curve having the shape of a sine wave.
adj
(not comparable, geometry) Of two lines in three-dimensional space: neither intersecting nor parallel.
n
(mathematics) any curve in three-dimensional space; includes any plane curve as a subset
n
The mathematical principle that, as a shape grows in size, its volume grows faster than its surface area. Specifically, when an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
n
(mathematics, geometry) An angle that is equal to 180° (pi radians or two right angles).
adj
(geometry) Having, or being in, a contrary order; said of a section of an oblique cone having a circular base made by a plane not parallel to the base, but so inclined to the axis that the section is a circle; applied also to two similar triangles when so placed as to have a common angle at the vertex, the opposite sides not being parallel.
n
(computing) A subset of a cube (data structure).
n
(geometry) That part of the axis of a curved line which is intercepted between the ordinate and the normal.
n
(geometry) The part of the axis contained between the ordinate and tangent drawn to the same point in a curve.
n
(geometry, trigonometry) The side that subtends (is opposite) a specified angle;
n
(geometry) A line which subtends, especially the chord of an arc.
n
(geometry) A three-dimensional relative of a superellipse (or similar curve).
n
(differential geometry) A straight line touching a curve at a single point without crossing it there.
adj
(geometry) (of an intersection) Not tangent, so that a nondegenerate angle is formed between the two things intersecting.
adj
(mathematics) Having three summed exponential terms.
adj
(mathematics) Of a magic cube: remaining magic even if all its numbers are replaced by their kth power for 1 ≤ k ≤ 3.
n
(number theory, recreational mathematics) A magic square that remains magic when all of its numbers are replaced by their cubes.
n
(geometry) A curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form f(x)=a/(x+b)²+c where a, b, and c are given constants.
adj
(mathematics) Such that the curvatures of normal sections are all equal to each other.
n
(mathematics) A cubic plane curve defined from two diametrically opposite points of a circle.
n
(algebraic geometry) The direction aligned with the x-axis of a coordinate system.
n
(algebraic geometry) The direction aligned with the y-axis of a coordinate system.
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