n
(geometry) An isolated point not upon a curve, but whose coordinates satisfy the equation of the curve so that it is considered as belonging to the curve.
adj
(geometry) acute-angled.
adj
(geometry) Of an angle: less than 90 degrees.
n
(mathematics, geometry) An angle measuring less than ninety degrees.
n
(geometry) A triangle all of the angles of which are acute.
adj
(geometry) Of a triangle, having three acute angles.
n
(geometry) An acute triangle.
adj
Alternative form of acute-angled [(geometry) Of a triangle, having three acute angles.]
n
(geometry) Either of a pair of angles that share a common side
adj
(geometry) Lacking an angle.
n
If the parallels AB, CD, are cut by the line EF, intersecting at points G and H, then the angles AGH, GHD, are called alternate angles (as also are the angles BGH and GHC).
adj
(obsolete) obtuse-angled
n
A corner where two walls intersect.
n
(geometry) A ray that divides an angle into two equal parts.
v
Used other than figuratively or idiomatically: see angle, for.
n
(geometry) The indefinitely small angle between two consecutive osculating planes of a curve of double curvature.
adj
Relating or pertaining to an angle or angles.
n
(geometry, non-Euclidean geometry) The amount by which the total of the interior angles of a triangle is less than 180° (π radians); the amount by which the total of the internal angles of a polygon is less than what would be expected on the Euclidean plane.
adj
(archaic) angular; having corners
adj
(geometry) Being a triangle formed by three lines parallel to the sides of an original triangle ABC: the parallel to AB through C, the parallel to AC through B, and the parallel to BC through A.
n
(geometry) Either of the two angles that intersect with the base of a triangle.
n
A geometric figure consisting of two circular arcs tangent at their common endpoint.
n
(geometry) A fleflecnode
n
(geometry) A quartic plane curve whose equation in Cartesian coordinates is (x²+y²)²=ax²ʸ.
adj
(geometry, of a line) Being the sum of two lines commensurable only in power (such as the side and diagonal of a square).
n
(mathematics) A line that joins the midpoints of opposite sides of a quadrilateral or tetrahedron
adj
Containing two right angles.
adj
(geometry) Both circumscribed and inscribed, i.e. having vertices that lie on a curve and sides that are tangent to the curve.
n
(mathematics) The point inside a triangle at the intersection of the lines through each vertex such that the angle between the line and the side of the triangle when moving clockwise is the same for each vertex.
n
The triangle formed by joining the points of intersection of the lines from each vertex of a triangle to its Brocard points.
n
(geometry) A ruled surface whose rulings are all parallel to a fixed plane.
n
(geometry) A line perpendicular to a surface (or line); in particular, either of the sides of a right triangle other than its hypotenuse.
n
(geometry) A line from the vertex of a triangle to a point on the opposite side
n
(mathematics) A conic section that passes through all the vertices of a triangle
n
(geometry) Any of a family of curves defined as the locus of a point, P, on a line from a given fixed point and intersecting two given curves, C₁ and C₂, where the distance along the line from C₁ to P remains constant and equal to the distance from P to C₂.
adj
Pertaining to, or in the direction of, such a diagonal.
n
An angle which adds with another to equal 90 degrees.
n
(geometry) An angle that, when added to another referenced angle, produces a right angle.
adj
(geometry, not comparable, of a polygon) not convex; having at least one internal angle greater than 180 degrees.
adj
(geometry, of a set of points) Lying on a common circle.
n
That branch of geometry which treats of the cone and the curves which arise from its sections.
n
Any of a set of angles whose sum is 360° or 2π radians.
n
(geometry) Either of two axes in a conic section, such that each is parallel to the tangent at the extremity of the other.
adj
(of a regular polygon) That can be constructed in a plane using only a pair of compasses and a straightedge.
adj
(geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
adj
(mathematics) dual to something quasitriangular.
n
Angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
n
(trigonometry) In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn
adj
(geometry, of two angles) Differing only by a whole number of complete circles.
n
(geometry) A point of intersection between an ellipse and its minor axis.
n
(geometry) A point where one branch of a curve crosses another branch.
n
Any object more or less in the form of a cube.
n
Synonym of square-cube law
n
Alternative form of cubage [A cubic measurement.]
adj
Of or pertaining to a cube; cubic.
adj
Obsolete form of cubic. [(geometry) Used in the names of units of volume formed by multiplying a unit of length by itself twice.]
n
(geometry) A quadrilateral whose vertices all intersect a single circle.
n
(mathematics) Any of a class of surfaces, described by quartic expressions, that are related to spherical surfaces
n
(geometry) A kite (quadrilateral having two pairs of edges of equal length, the edges of each pair touching each other at one end).
n
(mathematics) A hypocycloid that has three cusps
n
(geometry) A surface (in more than two dimensions, a plane is trivially developable) that can be flattened into a plane without distortion.
n
(geometry) A line joining non-adjacent vertices of a polygon.
n
(geometry) The curve which on a given surface and with a given perimeter contains the greatest area.
n
(geometry) The angle between two planes.
n
(geometry) A circle not having the same centre as another.
n
(geometry) A collineation that fixes all points on a line (called its axis) and all lines though a point on the axis (called its center).
n
(geometry) A closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
n
(obsolete, geometry) An ellipse.
adj
Alternative spelling of equiangular [(geometry) Of a polygon, having all interior angles equal. This is not necessarily a regular polygon, since that would also be equilateral; a rectangle is equiangular but not equilateral, unless it is a square.]
adj
(obsolete) Having equal angles; equiangular.
adj
(geometry) Of a polygon, having all interior angles equal. This is not necessarily a regular polygon, since that would also be equilateral; a rectangle is equiangular but not equilateral, unless it is a square.
n
(geometry) Conversion to equiangular form
adj
(geometry) Of a convex quadrilateral: having the two diagonals of equal length.
adj
(geometry) Of a polygon: able to be divided into triangles of equal area.
n
(geometry) The division of a polygon into triangles of equal area.
adj
(geometry, of a polygon) Having all the sides equal.
n
(geometry) A triangle having all three sides equal.
adj
(geometry) Having both all sides equal length and all angles equal.
n
Alternative form of Euler angle [(geometry) Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler.]
n
(geometry) Spherical excess, the amount by which the sum of the three angles of a spherical triangle exceeds two right angles. The spherical excess is proportional to the area of the triangle.
n
(geometry, given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} and {C, C’} and ΔDEF constructed from the tangent lines at A, B and C such that D, E and F are respectively opposite A, B and C) The point of concurrence of the rays DA’, EB’ and FC’.
adj
(geometry) inscribed inside a polygon (and touching every side of it)
n
The remainder of subtracting an angle from a full circle.
n
(geometry) A pair of angles that sum to 360 degrees.
n
(geometry) An angle formed between one side of a polygon and an extension of an adjacent side.
n
(geometry) Any of the flat bounding surfaces of a polyhedron; more generally, any of the bounding pieces of a polytope of any dimension.
n
(mathematics) A face of codimension 1 of a polytope.
n
(geometry) A subset of n-dimensional space that is congruent to a Euclidean space of lower dimension.
n
(geometry) A double point that is also a point of inflexion of one branch.
adj
(chemistry) Describing a torsion angle of 60°.
n
(geometry) A curve that, when rotated about an axis, produces a solid figure.
n
(psychology) Any of a group of basic geometric forms capable of being recognised as a component of a real object.
n
A rectangle whose side lengths are in the golden ratio.
n
(geometry) An isosceles triangle whose duplicated side is in the golden ratio to the distinct side.
n
(geometry) A right triangle.
n
A tiling of the plane with regular polygons; a honeycomb.
n
(geometry) A ray, or half-line.
n
The formula A=√, where a, b, and c are the sidelengths of a triangle, s is its semiperimeter, and A is its area.
n
A curvilinear angle formed between a circle and a straight line tangent to it, or, more generally, the angle formed between two curves at a point where they are tangent to each other.
n
A square, or any other geometric figure analogous to a cube but having fewer than three dimensions.
adj
(obsolete) Not angular.
n
(geometry) The angle of intersection of a reference plane
n
(geometry) The inner angle between two sides of a polygon.
n
(geometry) The result of a circle inversion; the set of all such points; the curve described by such a set.
adj
(geometry) Having equal angles.
n
(geometry) A figure that has the same perimeter as another
adj
(obsolete, of a triangle) equilateral
adj
(geometry) Having (at least) two sides of equal length, used especially of a triangle or trapezoid.
n
A quadrilateral with two parallel sides and a separate pair of congruent sides which are not parallel.
n
(geometry) A triangle having at least two sides equal.
adj
(mathematics) Making a right angle; perpendicular, as two lines or two sides of a triangle, which include a right angle.
adj
(physics) Acting or placed at right angles to a line of motion or strain.
n
(geometry) All of the sides of the object, excluding its base and top (when they exist).
n
(trigonometry) A statement that relates the lengths of the sides of a triangle to the sines of its angles.
n
(geometry) One of the two sides of a right triangle that is not the hypotenuse.
n
(mathematics) Any of a variety of quartic functions producing similar figure-of-eight closed curves.
n
(geometry) The intersection of the three symmedians of a triangle.
n
Alternative form of limaçon [(geometry) A plane curve with polar equation 𝜌=a+b, sin ,𝜃 or 𝜌=a+b, cos ,𝜃, of which the cardioid is a special case.]
n
(geometry) A plane curve with polar equation 𝜌=a+b, sin ,𝜃 or 𝜌=a+b, cos ,𝜃, of which the cardioid is a special case.
n
(geometry) An infinitely extending one-dimensional figure that has no curvature; one that has length but not breadth or thickness.
n
(geometry) The two supplementary adjacent angles formed by two intersecting lines
n
(geometry) The three supplementary adjacent angles formed by three intersecting lines
n
Obsolete form of lozenge. [(shapes, heraldry) A quadrilateral with sides of equal length (rhombus), having two acute and two obtuse angles.]
n
(shapes, heraldry) A quadrilateral with sides of equal length (rhombus), having two acute and two obtuse angles.
n
(mathematics) An arrangement of natural numbers on circles such that the sum of the numbers on each circle and the sum of numbers on diameter are identical.
n
(geometry) The longest diameter of an ellipse, running through the center and foci, with its ends being the widest points of the shape.
n
(geometry) A line segment joining the vertex of triangle to the midpoint of the opposing side.
n
(geometry) Any of a number of triangles described in Morley's trisector theorem, especially the equilateral triangle formed from the points of intersection of adjacent angle trisectors of a given triangle.
n
(geometry) A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle.
n
Alternative spelling of nine-point circle [(geometry) That circle which passes through the feet of the altitudes of a given triangle.]
n
(geometry) The point at which a curve crosses itself, being a double point of the curve. See crunode and acnode.
n
(geometry) Either of the two smaller sides of a right-angled triangle
adj
(archaic, geometry) Formed of oblique angles.
n
(geometry) An oblique line.
n
(geometry) Any angle that is not a right angle or multiple of right angles.
n
(projection) a circle whose plane is oblique to the axis of the primitive plane
n
(phyisology) The relative deficiency in perceptual performance for oblique contours as compared to the performance for horizontal or vertical contours.
n
(medicine, pathology) A type of bone fracture that breaks diagonally across the width of the bone and along the longitudinal axis of the bone.
n
(geometry) A line that, meeting or tending to meet another, makes oblique angles with it.
n
(music) A kind of motion or progression in which one part ascends or descends, while the other prolongs or repeats the same tone.
n
(geometry) A nonright pyramid, where the apex is not centered over the base.
n
(geometry) In Euclidean geometry, an ordinary reflection not requiring that the reflection be performed using perpendiculars.
n
(military) A step in marching, by which a soldier, while advancing, gradually takes ground to the right or left at an angle of about 25 degrees.
n
(medicine, pathology) A common baseball injury, affecting the contralateral side external oblique, or the trailing internal oblique.
adj
triangular with the apex downwards
adj
(geometry, by ellipsis) Obtuse-angled, having an obtuse angle.
n
(mathematics, geometry) An angle that is greater than 90 degrees and less than 180 degrees.
n
(geometry) A triangle one of whose angles is obtuse.
adj
(geometry) Of a triangle, having an obtuse angle.
n
(geometry) An obtuse triangle.
adj
(geometry) obtuse-angled
n
The eighth part of a circle; an arc of 45 degrees.
n
(geometry) The intersection of the three lines that can be drawn flowing from the three corners of a triangle to a point along the opposite side where each line intersects that side at a 90 degree angle; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle.
n
Alternative form of orthocenter [(geometry) The intersection of the three lines that can be drawn flowing from the three corners of a triangle to a point along the opposite side where each line intersects that side at a 90 degree angle; in an acute triangle, it is inside the triangle; in an obtuse triangle, it is outside the triangle.]
n
(geometry) A right-angle triangle.
adj
(geometry) Of two objects, at right angles; perpendicular to each other.
adj
(geometry) Cutting at right angles.
n
(geometry) A circle that cuts three other given circles at right angles.
n
(geometry) A node of a plane curve where three branches meet and where two of the branches have a common tangent.
n
(geometry) A triangle with three acute angles.
n
(geometry) A convex quadrilateral in which each pair of opposite edges are parallel and of equal length.
n
(mechanics) A parallelogram, two adjacent sides of which are vectors having the same initial point and representing two forces acting simultaneously upon this point, such that the resultant of the forces is given by the diagonal of the parallelogram that passes through this point.
n
A radially symmetric Latin square.
n
(geometry) A round angle; a full circle.
n
(geometry) An angle formed by two intersecting planes, measured by the angle between two intersecting straight lines that are in respective planes and perpendicular to the intersection of the planes.
n
A series of points in three-dimensional space that collectively describe the geometry of a physical object.
n
(geometry, more generally) A figure comprising vertices and (not necessarily straight) edges, alternatingly.
n
(graph theory) A graph (set of connected points) in which each vertex corresponds to a convex polygon circumscribed in a common circle, and in which (graph) vertices are adjacent iff their corresponding polygons intersect geometrically.
n
A method of surveying, an extension of triangulation, in which a set of contiguous polygons are measured and plotted
n
The mensuration of polygons
n
(mathematics) Any subset of a plane that lies between any three mutually tangent convex sets
n
(computer graphics, countable) A rounded cube used to approximate a sphere.
n
(geometry) A geometric shape with four angles and four straight sides; a four-sided polygon.
n
(mathematics) A graph embedded in a surface such that every face is a quadrangle.
adj
(mathematics) Of or relating to the second degree; quadratic.
n
(geometry) A quadric cone.
n
A polygon with four sides.
n
(geometry, obsolete) A curve that is the complete intersection of two quadric surfaces.
n
(geometry) A line that passes through four points of the curve.
n
(geometry) A line or curve that quadrisects something.
adj
(geometry, of a polyhedron or tessellation) That is semiregular with regular faces of precisely two types that alternate around each vertex.
n
(geometry) Any quadrilateral having opposing sides parallel and four right angles.
adj
Having axes that meet each other with right angles.
n
(geometry) A rectangular object; A three-dimensional form related to the rectangle
n
An acute angle with the same values of trigonometric functions, up to sign, as another angle: used for easy reference when examining the non-acute angle.
adj
(geometry, of an angle) Having greater than 180 degrees but less than 360 degrees.
adj
(geometry, of a polygon) Both equilateral and equiangular; having all sides of the same length, and all (corresponding) angles of the same size
n
(geometry) A polygon which is both equiangular and equilateral (i.e. having all sides the same length and all interior angles the same).
n
(geometry) A shape that can be dissected into a number of smaller copies of the same shape.
n
(geometry) A figure consisting of three circular arcs, each centered on the intersection of the other two.
adj
(geometry) Composed of rhombuses
n
(geometry) A parallelogram having all sides of equal length.
adj
(geometry) Of a geometric figure, incorporating a right angle between edges, faces, axes, etc.
n
(geometry) Half of the angle formed by a single straight line, equivalent to 90 degrees.
n
(geometry) A trapezoid with two adjacent right angles
n
(geometry) A triangle having a right angle as one of its interior angles.
n
(geometry) A right triangle.
n
(geometry) An angle of 360 degrees; a full circle.
n
(computer graphics) A rectangle with rounded corners.
adj
(geometry, of a surface) Being a scroll; being such that through every point of S there is a straight line that lies on S.
adj
(geometry) Denoting any angle less than two right angles.
n
(geometry) A particular figure bounded by four semicircles.
n
(geology, photography) A reference cube of standard, unitary size, normally one centimetre long, or one inch long for older American versions, placed beside a rock or meteorite sample to show scale and orientation during photography. Four sides of the cube are marked N, S, E, and W, respectively, to indicate the cardinal points of the compass, and the other two sides are marked T and B, for top and bottom.
adj
(trigonometry) Having sides all unequal in length.
n
(geometry) A triangle having each of its three sides of different lengths.
adj
(mathematics) Describing each of the two segments of the minor axis of a conic section at both sides of the center of the conic section.
n
(geometry) A tessellation of the plane by two or more different convex regular polygons.
n
(geometry) A right isocoles triangle, or such figure of which two form a square.
n
(astronomy) A sesquiquadrate aspect or position; an angle of 135°: (a square [90°] + a semisquare [45°]; abbrv. Ses).
n
(geometry) A three-dimensional figure (as opposed to a surface, an area, or a curve).
n
(geometry) The three-dimensional analog of an angle, equivalent to the area of that portion of the surface of a unit sphere that it subtends.
n
(physics) A difference of a quarter of a wavelength between the spatial positions of two corresponding points in a wave
n
(geometry) A three-dimensional geometric figure with a square base and four triangular sides that connect at one point. An example is the Great Pyramid of Giza.
n
(geometry) The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle.
v
(geometry) To extend the edges or planes of a polyhedron to form a new shape.
n
(geometry) Part of a face
n
(geometry) The angle subtended by a line at a point.
n
(geometry) An angle that, when added to a given angle, makes 180°; a supplementary angle.
n
(geometry) An angle that, when added to another referenced angle, produces an angle of 180 degrees.
n
(geometry) Any of three lines associated with every triangle, constructed by taking a median of the triangle (a line connecting a vertex with the midpoint of the opposite side) and reflecting the line over the corresponding angle bisector (the line through the same vertex that divides the angle there in half).
n
(art) A visual interaction between two or more lines or edges that creates a perceived relationship between them, often in a way that the artist did not intend.
v
(intransitive, geometry) Of a two-dimensional shape, such that multiple copies of itself placed edge to edge cover an area leaving no space between the shapes.
n
(less common) polygon tessellation.
n
(geometry) A theorem stating that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ABC is a right angle.
n
(mathematics) The measure of an angle.
adj
Having a cross section in the form of an equilateral triangle; said especially of a kind of file.
n
Any object or shape consisting of three sides; triangle.
n
(geometry) The longer, or transverse, axis of an ellipse.
n
(geometry, Britain, Australia, New Zealand) A quadrilateral with two sides parallel.
n
(geometry, US) A (convex) quadrilateral with two (non-adjacent) parallel sides.
n
(music) Abbreviation of triangle. [(geometry) A polygon with three sides and three angles.]
n
(geometry) A polygon with three sides and three angles.
n
(computing) A CAD system that is capable of modelling three-dimensional objects as combinations of surfaces, solids and polygons
n
(mathematics, computing) The simultaneous clustering of three independent rows or columns of a three-dimensional matrix
adj
(mathematics) Involving three cubic forms
n
(mathematics) Synonym of deltoid curve
n
(surveying, countable, informal) A trigonometric point; a trig point.
n
(countable, geometry, rare) A triangle.
n
(games) A triangular tile, used in triominoes, a variant of the game of dominoes.
n
(mathematics) A point where a curve or surface intersects itself along three arcs.
n
A type of curve that is useful for trisecting the angle.
n
(mathematics) The curve traced by a point on a circle as it rolls along a straight line
n
(geometry) A double point of a surface whose tangent cone consists of one double plane.
n
The point at which an axis meets a curve or surface.
n
(geometry) An angle associated with a vertex of an n-dimensional polytope.
n
A vertical geometrical figure; a perpendicular.
n
(geometry) Any of the opposite angles formed by intersecting lines.
n
(geometry) A five-sided polyhedron with a rectangular base, two rectangular or trapezoidal sides meeting in an edge, and two triangular ends.
adj
Obsolete spelling of equiangular [(geometry) Of a polygon, having all interior angles equal. This is not necessarily a regular polygon, since that would also be equilateral; a rectangle is equiangular but not equilateral, unless it is a square.]
adj
Obsolete spelling of equilateral [(geometry, of a polygon) Having all the sides equal.]
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