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Convex polygon that contains an inscribed circle
In Euclidean geometry, a tangential polygon, also known as a circumscribed polygon, is a convex polygon that contains an inscribed circle (also called
Tangential_polygon
Polygon that is the boundary of a convex set
Discrete dynamical system on polygons in the projective plane and on their moduli space Tangential polygon – Convex polygon that contains an inscribed circle
Convex_polygon
called the circumcentre, can be considered a centre of the polygon. If a polygon is both tangential and cyclic, it is called bicentric. (All triangles are
Centre_(geometry)
Line which touches a circle at exactly one point
A tangential polygon is a polygon each of whose sides is tangent to a particular circle, called its incircle. Every triangle is a tangential polygon, as
Tangent_lines_to_circles
Polygon whose four sides all touch a circle
quadrilaterals, and circumscriptible quadrilaterals. Tangential quadrilaterals are a special case of tangential polygons. Other less frequently used names for this
Tangential_quadrilateral
Equilateral polygon Penrose tile Polyform Regular polygon Simple polygon Tangential polygon Monogon - 1 side Digon/Bigon - 2 sides Triangle – 3 sides Acute
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
Equiangular and equilateral polygon
to every side at the midpoint. Thus a regular polygon is a tangential polygon. A regular n-sided polygon can be constructed with compass and straightedge
Regular_polygon
Simple curve of Euclidean geometry
each side of the polygon. Every regular polygon and every triangle is a tangential polygon. A cyclic polygon is any convex polygon about which a circle
Circle
Shape with the same area and perimeter
decomposition that the total area of a tangential polygon equals half the perimeter times the radius. Thus, a tangential polygon is equable if and only if its
Equable_shape
Polygon in which all sides have equal length
are no longer sufficient to determine the shape of the pentagon. A tangential polygon (one that has an incircle tangent to all its sides) is equilateral
Equilateral_polygon
Polygon constructed from another
the dual (a tangential polygon), and shorter sides to smaller angles.[citation needed] Further, congruent sides in the original polygon yields congruent
Dual_polygon
Plane figure bounded by line segments
symmetry orbit. The polygon is also equilateral and tangential. The property of regularity may be defined in other ways: a polygon is regular if and only
Polygon
Geometric figure which is "snugly enclosed" by another figure
case the polygon is said to be a tangential polygon. A polygon inscribed in a circle is said to be a cyclic polygon, and the circle is said to be its
Inscribed_figure
Triangle formed by tangents to a given triangle's circumcircle at its vertices
reference triangle is the Gergonne triangle of the tangential triangle. Tangential quadrilateral Tangential polygon Altshiller-Court, Nathan. College Geometry
Tangential_triangle
Points on a common circle
sums of the previous n-gon. A tangential polygon is one having an inscribed circle tangent to each side of the polygon; these tangency points are thus
Concyclic_points
Concept in geometry
cyclic polygons: the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant
Equidistant
Center of the inscribed circle of a triangle
group of triangle centers. For polygons with more than three sides, the incenter only exists for tangential polygons: those that have an incircle that
Incenter
Cyclic polygon all of whose sides are tangent to an incircle
In geometry, a bicentric polygon is a tangential polygon (a polygon all of whose sides are tangent to an inner incircle) which is also cyclic — that is
Bicentric_polygon
and s is the semiperimeter (in fact, this formula holds for all tangential polygons), and T = r a ( s − a ) = r b ( s − b ) = r c ( s − c ) {\displaystyle
Area_of_a_triangle
Circles tangent to all three sides of a triangle
generally, a polygon with any number of sides that has an inscribed circle (that is, one that is tangent to each side) is called a tangential polygon. If topological
Incircle_and_excircles
Polyhedron formed by joining mirroring pyramids base-to-base
perpendicular line through the centroid of an arbitrary polygon or the incenter of a tangential polygon, depending on the source. Likewise, a right bipyramid
Bipyramid
Shape with six sides
bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius
Hexagon
Geometric figure which circumscribes a circle
In fact, every regular polygon is a circumgonal region, as is more generally every tangential polygon. But not every polygon is a circumgonal region:
Circumgon
Set of circles related by tangency Tangential polygon – Convex polygon that contains an inscribed circle Tangential quadrilateral Roulettes Centered trochoid –
List_of_circle_topics
or spherical coordinate system the inradius of a triangle or other tangential polygon the ratio of a geometric series (e.g. arn−1) the remainder resulting
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
Number of times a curve wraps around a point in the plane
differentiable paths with nowhere vanishing derivatives), and is the degree of the tangential Gauss map. This is called the turning number, rotation number, rotation
Winding_number
Quadrilateral symmetric across a diagonal
quadrilateral (its diagonals are at right angles) and, when convex, a tangential quadrilateral (its sides are tangent to an inscribed circle). The convex
Kite_(geometry)
Shape with three sides
to 2 T {\displaystyle 2T} . Equality holds only if the polygon is a parallelogram. The tangential triangle of a reference triangle (other than a right triangle)
Triangle
Quadrilateral with sides of equal length
rhombus include diamond, lozenge, and calisson. Every rhombus is a simple polygon (having no self-intersections). A rhombus is a special case of a parallelogram
Rhombus
Convex 4-sided polygon whose sidelines are all tangent to an outside circle
In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside
Ex-tangential_quadrilateral
Line containing one side of a polygon
plane geometry, an extended side or sideline of a polygon is the line that contains one side of the polygon. The extension of a finite side (a line segment)
Extended_side
Four-sided polygon
In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words
Quadrilateral
Half of the sum of side lengths of a polygon
In geometry, the semiperimeter of a polygon is half its perimeter. Although it has such a simple derivation from the perimeter, the semiperimeter appears
Semiperimeter
Type of gravitational system
undermines the geometry, and so on. The longer explanation is that any tangential perturbation brings a body closer to one neighbor and further from another;
Klemperer_rosette
Straight figure with zero width and depth
Any collection of finitely many lines partitions the plane into convex polygons (possibly unbounded); this partition is known as an arrangement of lines
Line_(geometry)
Sphere tangent to every edge of a polyhedron
every face must have an inscribed circle (that is, it must be a tangential polygon), and all of these inscribed circles must belong to a single sphere
Midsphere
11-cell 57-cell Convex polygon Concave polygon Constructible polygon Cyclic polygon Equiangular polygon Equilateral polygon Regular polygon Penrose tile Polyform
List_of_mathematical_shapes
Line or vector perpendicular to a curve or a surface
Pseudovector – Physical quantity that changes sign with improper rotation Tangential and normal components – Mathematical vector components Vertex normal –
Normal_(geometry)
Definite integral of a scalar or vector field along a path
thus a line integral of a vector field, where the vectors are always tangential to the line of the integration. Line integrals of vector fields are independent
Line_integral
Pac-Man character
He argued that the relationship between Pac-Man and Ms. Pac-Man was tangential to the actual premise of the game. Kill Screen writer, Rachel Helps, discussed
Ms._Pac-Man_(character)
Lines which intersect at a single point
intersection. In a tangential quadrilateral, the four angle bisectors concur at the center of the incircle. Other concurrencies of a tangential quadrilateral
Concurrent_lines
Shape with four equal sides and angles
touches all four sides of the square (at their midpoints), the square is a tangential quadrilateral. The circumscribed circle of a square passes through all
Square
Figure formed by two rays meeting at a common point
Phase (waves) Protractor Solid angle Spherical angle Subtended angle Tangential angle Transcendent angle Trisection Zenith angle This approach requires
Angle
Division of something into two equal or congruent parts
quadrilateral is a tangential quadrilateral. Each diagonal of a rhombus bisects opposite angles. The excenter of an ex-tangential quadrilateral lies at
Bisection
Pentagon with all sides equal but the angles may not be equal
In geometry, an equilateral pentagon is a polygon in the Euclidean plane with five sides of equal length. Its five vertex angles can take a range of sets
Equilateral_pentagon
Ancient paradox in geometry
in two-dimensional space as two circles. Its larger, outer circle is tangential to a horizontal surface (e.g. a road that it rolls on), while the smaller
Aristotle's_wheel_paradox
Superhero comic book published by DC Comics
penciller Gary Frank and colorist Brad Anderson. The series concludes a tangential story established in the New 52 and DC Rebirth, and it is a sequel to
Doomsday_Clock_(comics)
Convex, 4-sided shape with an incircle and a circumcircle
follows that bicentric quadrilaterals have all the properties of both tangential quadrilaterals and cyclic quadrilaterals. Other names for these quadrilaterals
Bicentric_quadrilateral
Symmetrical quadrilateral
direct result of the geometric mean theorem. The dual polygon to a right kite is an isosceles tangential trapezoid. Sometimes a right kite is defined as a
Right_kite
Overview of and topical guide to geometry
Kite (geometry) Orthodiagonal quadrilateral Rhombus Rectangle Square Tangential quadrilateral Trapezoid Isosceles trapezoid Sangaku Straightedge Symmedian
Outline_of_geometry
Curve in the dual projective plane made from all lines tangent to a given curve
equation of the dual of C, given in line coordinates, is known as the tangential equation of C. Duality is an involution: the dual of the dual of C is
Dual_curve
Line constructed from a triangle
circumcenter of the tangential triangle lies on the Euler line of the reference triangle. The center of similitude of the orthic and tangential triangles is
Euler_line
American Dungeons & Dragons web series
feature some of the campaign's main characters. Other one-shots only have a tangential relationship to the campaigns, as they are set in the world of Exandria
Critical_Role
Set whose elements all belong to another set
A\subsetneq B} is a single logical relation, it can be realized as a tangential or non-tangential containment, as shown in these 11 exhaustive cases.
Subset
Quadrilateral whose vertices lie on a circle
quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential. A harmonic quadrilateral
Cyclic_quadrilateral
Relationship between two lines that meet at a right angle
three-dimensional Cartesian coordinate system. Orthogonal projection Tangential and normal components Kay (1969, p. 114) Kay (1969, p. 91) Kay (1969,
Perpendicular
2022 film by David Leitch
he refuses. The White Death explains that everyone on the train was tangentially connected to his wife's death: Lemon and Tangerine had drawn him abroad
Bullet_Train_(film)
Episodes of the web series Critical Role
outside the time frame of the main show. Other one-shots have only a tangential relationship to the campaigns. These are set in the world of Exandria
List of Critical Role episodes
List_of_Critical_Role_episodes
Method of representing curves and surfaces in computer graphics
giving rise to a sharp corner or edge and causing broken highlights. Tangential continuity (G¹) requires the end vectors of the curves or surfaces to
Non-uniform_rational_B-spline
American superhero film series
television networks division produced Legion and The Gifted (both 2017–2019) tangential to the films. In 2019, The Walt Disney Company purchased Fox in a deal
X-Men_(film_series)
1992 American film by David Lynch
the film on Laura Palmer, explaining that the deleted scenes "were too tangential to keep the main story progressing properly". At the film's premiere,
Twin_Peaks:_Fire_Walk_with_Me
Trapezoid symmetrical about an axis
each other under this duality are compared in the table below. Isosceles tangential trapezoid Trapezoid is the term used in American English, while in British
Isosceles_trapezoid
Mathematics of smooth surfaces
Y are both tangential vector fields, then ∇YX can also be regarded as a tangential vector field; iteratively, if X, Y, and Z are tangential vector fields
Differential geometry of surfaces
Differential_geometry_of_surfaces
American internet personality (born 1986)
research, and edit videos online. Inspired by an Extra Credits episode on tangential learning, Patrick uploaded the first episode of Game Theory on April 18
MatPat
Point in a triangle that can be seen as its middle under some criteria
isogonic center. Another system is formed by X3 and the incenter of the tangential triangle. Consider the triangle center function given by: f ( a , b ,
Triangle_center
British decimal coin – half of one pound
on each apex and with a larger circular arc centred on each apex but tangential to each of the two opposite small circles. Wherever it was measured, the
Fifty_pence_(British_coin)
2012 video game
only made a total of $49,700 directly as of Nov 11, 2015, and $25,000 tangentially through prize money. Smith insists that making money from Spaceteam was
Spaceteam
inellipse Steiner–Lehmus theorem Stewart's theorem Steiner point Symmedian Tangential triangle Tarry point Ternary plot Thales' theorem Thomson cubic Triangle
List_of_triangle_topics
Catalan architect (1852–1926)
catenary distributes weight evenly, affected only by self-cancelling tangential forces. Gaudí evolved from planar to spatial geometry, and then to ruled
Antoni_Gaudí
German astronomer and mathematician (1571–1630)
conjunction of Saturn and Jupiter in the zodiac: he realized that regular polygons bound one inscribed and one circumscribed circle at definite ratios, which
Johannes_Kepler
Polynomial equation of degree two
circumscribed circle's center and the center of the excircle of an ex-tangential quadrilateral. Critical points of a cubic function and inflection points
Quadratic_equation
Plane curve: conic section
circular conical surface and a plane parallel to another plane that is tangential to the conical surface. The graph of a quadratic function y = a x 2 +
Parabola
Machining process
dimensions. There are three principal forces in turning: The cutting or tangential force acts downward on the tool tip and upwards on the workpiece upward
Turning
Theorem in calculus relating line and double integrals
encloses. It has two equivalent forms: the circulation form, which says the tangential line integral of a vector field F = ( P , Q ) {\displaystyle \mathbf {F}
Green's_theorem
British surreal comedy group
Assurance". Under his helm, though, the segment grew so ambitious and tangential that it was cut from the movie and used as a supporting feature in its
Monty_Python
Curve formed by a hanging chain
\tan \varphi ={\frac {s}{a}},} where φ {\displaystyle \varphi } is the tangential angle and s the arc length. Differentiating gives d φ d s = cos 2 φ
Catenary
Techniques for creating complex surfaces in 3D graphics software
of the panel with different radii of curvature together, maintaining tangential continuity (meaning that the blended surface doesn't change direction
Freeform_surface_modelling
2021 autobiography by Hideo Kojima
Club, Sam Barsanti considered the media discussed in Kojima's essays as tangential subjects that ultimately reflected larger ideas prevalent in his life
The_Creative_Gene
Polygon with four crossed edges of two lengths
closely related to the tangential quadrilaterals, ex-tangential quadrilaterals, and kites (which are both tangential and ex-tangential). Every antiparallelogram
Antiparallelogram
Uncontrolled fire in forests or open spaces
22 kilometres per hour (14 mph) in grasslands. Wildfires can advance tangentially to the main front to form a flanking front, or burn in the opposite direction
Wildfire
Property of space that quantifies the magnetic influence at a given location
_{1}H_{1N}&=\mu _{2}H_{2n}\,,\end{aligned}}} where the subscript t represents the tangential component of H and n represents its normal component. For time varying
Magnetic_field
American book publisher
code: Why the source code of classic games matters, even to non-coders". Polygon. Retrieved May 30, 2014. Darius Kazemi (August 27, 2014). "Why I Wrote
Boss_Fight_Books
Full-sphere surround sound format
November 2025. P G Craven, M J Law, and C Travis, Microphone arrays using tangential velocity sensors Archived 30 June 2009 at the Wayback Machine, Ambisonics
Ambisonics
Geometric pattern characteristic of Muslim art
of polygons in contact." He observed that many different combinations of polygons can be used as long as the residual spaces between the polygons are
Islamic_geometric_patterns
Soviet and Russian physicist (1940–2008)
developed the theory of the three strongest instabilities of hydrodynamics: tangential discontinuity, centrifugal, and over-reflection instability. In space
Alexei_Fridman
use Neumann problems on the subdomains Poincaré–Steklov operator — maps tangential electric field onto the equivalent electric current Schur complement method
List of numerical analysis topics
List_of_numerical_analysis_topics
Let's Play web series
recent years, Game Grumps have expanded to content that is either only tangentially or not at all related to video games. These include live-action comedy
Game_Grumps
rights to older games have also defaulted to persons that may have been tangentially involved with the game and are unaware of their rights' ownership. In
Video_game_preservation
2011 video game
too short, and Act II feels like the climax of the game but is largely tangential to the main plot". Critics praised the companions featured in the game
Dragon_Age_II
Roman term for a fortified military base
roads leading to and from the fortress. The second type, known as the tangential village, consisted of structures following a road that passed alongside
Castra
Adaptations of stories by Arthur Conan Doyle
Frank Langella played Holmes in a 1981 production for HBO. Holmes is tangentially referred to in an unfinished play by L. Frank Baum and Emerson Hough
Adaptations of Sherlock Holmes
Adaptations_of_Sherlock_Holmes
X-Men limited series
meaning Williams devotes ample page time to" X-Factor characters "somewhat tangential" to Magneto and Wanda's story. While Spinelli "found the series flawed
Trial_of_Magneto
American comedy Flash-animated series
over time, allowing for more complex story lines to develop, growing tangentially from the initial email. As of November 24, 2025, 210 Strong Bad Emails
Homestar_Runner
Visible regularity of form found in the natural world
constrained expansion dependent on two geometric parameters: relative tangential cortical expansion and relative thickness of the cortex. Similar patterns
Patterns_in_nature
American scientist (1839–1914)
Peirce differed from James and the early John Dewey, in some of their tangential enthusiasms, in being decidedly more rationalistic and realistic, in several
Charles_Sanders_Peirce
Office building in Manhattan, New York
as well as a two-story granite penthouse. The structure is actually polygonal; both the base and the setback sections have over a hundred sides. The
Lipstick_Building
Obtaining information through non-contact sensors
and the understanding of satellite images. Remote sensing only plays a tangential role in schools, regardless of the political claims to strengthen the
Remote_sensing
Physical object which does not deform when forces or moments are exerted on it
velocity. Compare the amount of rotation associated with the vertices of a polygon. Assume that v ( P ) {\displaystyle \mathbf {v} (\mathbf {P} )} is a smooth
Rigid_body
for the angles of attack shown for the same sail. The dotted line is tangential with the point of highest ratio of lift over drag (CL / CD ). Aspect ratio:
Forces_on_sails
Dutch mathematician and physicist (1629–1695)
Huygens was able to narrow the gap between the circumscribed and inscribed polygons found in Archimedes's Measurement of the Circle, showing that the ratio
Christiaan_Huygens
TANGENTIAL POLYGON
TANGENTIAL POLYGON
TANGENTIAL POLYGON
TANGENTIAL POLYGON
Boy/Male
Gujarati, Indian, Kannada
Thankful
Boy/Male
Tamil
Rain
Boy/Male
Armenian, Australian
Protector; Shepherd
Boy/Male
Indian
Happiness
Boy/Male
Tamil
Victorious, Star
Boy/Male
Hindu
Praneeth is the name derived from the Sanskrit word praneetham which means calmness
Boy/Male
Hindu
Peace-lover, Warm, Mediator
Boy/Male
Latin American
Form of Jovan 'Father of the sky.
Girl/Female
Arabic, Muslim
Designation
Girl/Female
Muslim
Guardian, Protector
TANGENTIAL POLYGON
TANGENTIAL POLYGON
TANGENTIAL POLYGON
TANGENTIAL POLYGON
TANGENTIAL POLYGON
n.
Any plant of the genus Polygonum.
n.
A very handsome American butterfly (Polygonia interrogationis). Its wings are mottled with various shades of red and brown and have violet tips.
a.
Approximately polygonal; somewhat or almost polygonal.
a.
Of or pertaining to an agent or an agency.
p. pr. & a.
Inclosing with a sheath; as, the sheathing leaves of grasses; the sheathing stipules of many polygonaceous plants.
v. t.
An action, resulting from applied forces, which tends to cause two contiguous parts of a body to slide relatively to each other in a direction parallel to their plane of contact; -- also called shearing stress, and tangential stress.
n.
A kind of knotweed (Polygonum Bistorta).
a.
Polygonal.
n.
The doctrine of polygons; an extension of some of the principles of trigonometry to the case of polygons.
n.
The force, or combination of forces, which produces a strain; force exerted in any direction or manner between contiguous bodies, or parts of bodies, and taking specific names according to its direction, or mode of action, as thrust or pressure, pull or tension, shear or tangential stress.
adv.
In the direction of a tangent.
n.
An acrid plant of the genus Polygonum (P. Hydropiper), which produces smarting if applied where the skin is tender.
a.
Of or pertaining to a natural order of apetalous plants (Polygonaceae), of which the knotweeds (species of Polygonum) are the type, and which includes also the docks (Rumex), the buckwheat, rhubarb, sea grape (Coccoloba), and several other genera.
n.
A West Indian plant (Alternanthera polygonoides) somewhat resembling burstwort.
n.
A kind of Solomon's seal (Polygonum officinale).
a.
Of or pertaining to a tangent; in the direction of a tangent.
n.
A name given to several species of plants of the genus Polygonum, having angular stems beset with minute reflexed prickles.
a.
Tangential.
n.
Any kind of Polygonum with willowlike foliage.