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Triangle with circular arc edges
In geometry, a circular triangle is a triangle with circular arcs instead of line segments for edges. The intersection of three circular disks forms a
Circular_triangle
Shape with three sides
surface (geodesics). A curvilinear triangle is a shape with three curved sides, for instance, a circular triangle with circular-arc sides. (This article is about
Triangle
Curved triangle with constant width
triangle, the Reuleaux triangle is the optimal enclosure. Circular triangles are triangles with circular-arc edges, including the Reuleaux triangle as
Reuleaux_triangle
sides Triangle – 3 sides Acute triangle Equilateral triangle Heptagonal triangle Isosceles triangle Golden Triangle Obtuse triangle Rational triangle Heronian
List of two-dimensional geometric shapes
List_of_two-dimensional_geometric_shapes
Concept in air navigation
computer (a circular slide rule with a translucent "wind face" on which to plot the vectors) can be used to graphically solve the wind triangle equations
Wind_triangle
Geometric phenomenon
cross pairwise to form eight circular triangles. For any one of these eight triangles, and its three neighboring triangles, there exists a Hart circle
Hart_circle
Triangle with at least two sides congruent
In geometry, an isosceles triangle (/aɪˈsɒsəliːz/) is a triangle that has two sides of equal length and two angles of equal measure. Sometimes it is specified
Isosceles_triangle
Ring of circles between two tangent circles
The Pappus chain is often considered with respect to an arbelos, a circular triangle whose three sides are semicircles of the two given tangent circles
Pappus_chain
Oval made by smoothly connecting four circular arcs
an oval made by smoothly connecting four circular arcs. It can be constructed from a right isosceles triangle ABC with apex C. To construct Moss's egg:
Moss's_egg
Area bounded by a circular arc and a straight line
In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk which is "cut off" from the rest of the disk by a straight line. The
Circular_segment
Portion of a disk enclosed by two radii and an arc
width of the sector in radians. Circular segment – the part of the sector which remains after removing the triangle formed by the center of the circle
Circular_sector
Part of a circle between two points
area of the triangle, determined by the circle's center and the two end points of the arc, from the area A {\displaystyle A} . See Circular segment for
Circular_arc
Conformal mappings in complex analysis
upper half plane having lines or circular arcs for edges. The target triangle is not necessarily a Schwarz triangle, although that is the most mathematically
Schwarz_triangle_function
Gap in the muscular wall of the pharynx
triangular area between circular fibres of the cricopharyngeus and longitudinal fibres of the esophagus is Lamier's triangle or Lamier-Hackermann's area
Killian's_dehiscence
Concept of an efficient kitchen layout
Gilbreth referred to the L-shaped layout as "circular routing" which later came to be called the kitchen work triangle. A specific model was developed in the
Kitchen_work_triangle
Symbol
Providence or All-Seeing Eye is a symbol depicting an eye, often enclosed in a triangle and surrounded by rays of light or a halo, intended to represent divine
Eye_of_Providence
Relation between sides of a right triangle
Classic of the Gnomon and the Circular Paths of Heaven) gives a reasoning for the Pythagorean theorem for the (3, 4, 5) triangle — in China it is called the
Pythagorean_theorem
Constant-width curve of equal-radius arcs
constant width made up of circular arcs of constant radius. These shapes are named after their prototypical example, the Reuleaux triangle, which in turn is named
Reuleaux_polygon
Cloth emblems; part of the system of identification in Nazi camps
Westfalen [de] Painting of Jews in 16th Century Germany wearing circular yellow badges. Both triangles were inverted, so unlike the others, it does not form a
Nazi_concentration_camp_badge
Mean position of all the points in a shape
figure below (a) is easily divided into a square and a triangle, both with positive area; and a circular hole, with negative area (b). The centroid of each
Centroid
Shape with three inward-curved sides
small amount of time per pseudotriangulation. Deltoid curve Circular triangle For "pseudo-triangle" see, e.g., Whitehead, J. H. C. (1961), "Manifolds with
Pseudotriangle
On tangency patterns of circles
circles are either circular triangles or individual singular points. The graph of tangencies of such a packing and the triangles determined by the non-singular
Circle_packing_theorem
Circles tangent to all three sides of a triangle
incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent
Incircle_and_excircles
Functions of an angle
(also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios
Trigonometric_functions
Right triangle related to the golden ratio
A Kepler triangle is a special right triangle with edge lengths in geometric progression. The ratio of the progression is φ {\displaystyle {\sqrt {\varphi
Kepler_triangle
Shape with same width in all directions
Standard examples are the circle and the Reuleaux triangle. These curves can also be constructed using circular arcs centered at crossings of an arrangement
Curve_of_constant_width
Circle constructed from a triangle
constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are:
Nine-point_circle
radii of a circle Circular sector – Portion of a disk enclosed by two radii and an arc Circular segment – Area bounded by a circular arc and a straight
List_of_circle_topics
Overview of and topical guide to geometry
triangles Unit circle Point Line and Ray Plane Bearing Angle Degree Minute Radian Circumference Diameter Trigonometric function Asymptotes Circular functions
Outline_of_geometry
Arrangement of colors within a triangle
A color triangle is an arrangement of colors within a triangle, based on the additive or subtractive combination of three primary colors at its corners
Color_triangle
Physics problem related to laws of motion and gravity
of Barrow-Green, two... bodies revolve around their centre of mass in circular orbits under the influence of their mutual gravitational attraction, and
Three-body_problem
Mathematical function relating circular and hyperbolic functions
function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called the gudermannian of ψ {\textstyle
Gudermannian_function
Geometric line segment whose endpoints lie on a circular arc
dimensions from an occultation event Circular segment – the part of the sector that remains after removing the triangle formed by the center of the circle
Chord_(geometry)
Region of the Cartesian plane bounded by a hyperbola and two radii
that the circular angle is the argument of circular functions. When in standard position, a hyperbolic sector determines a hyperbolic triangle, the right
Hyperbolic_sector
Collection of buildings in Washington, D.C.
Federal Triangle is a triangular area in Washington, D.C., formed by 15th Street NW, Constitution Avenue NW, Pennsylvania Avenue NW, and E Street NW. Federal
Federal_Triangle
Shape that is the intersection of two circles with the same radius
two equilateral triangles and four equal circular segments. In the drawing, one triangle and one segment appear in blue. One triangle and one segment
Vesica_piscis
Seal
A circular white shield with an eight-rayed golden-yellow Philippine sun at the center. Overlapping the Philippine sun is a red equilateral triangle. Inside
Seal of the vice president of the Philippines
Seal_of_the_vice_president_of_the_Philippines
Concept in geometry
of n equal triangles with height h and base s, thus equals nhs/2. But since h < r and ns < c, the polygon area must be less than the triangle area, cr/2
Area_of_a_circle
Measure of vertical distance
definitions. These include: The height or altitude of a triangle, which is the length from a vertex of a triangle to the line formed by the opposite side; The height
Height
equilateral triangle is based on the hoist side; the center of the triangle displays a yellow sun with eight primary rays; each corner of the triangle contains
List of national flags of sovereign states
List_of_national_flags_of_sovereign_states
Defunct flume ride in Australia
The Bermuda Triangle was a themed indoor water ride at the Sea World theme park on the Gold Coast, Australia. In 2013, the ride was replaced by Storm Coaster
Bermuda_Triangle_(Sea_World)
Plane curve associated with any triangle
special points on this line called the circular points at infinity. Every circle in the plane of the triangle passes through these two points and every
Neuberg_cubic
Geometric theorem about isosceles triangles
the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ˈpɒnz ˌæsɪˈnɔːrəm/
Pons_asinorum
Hyperbolic analogues of trigonometric functions
The legs of the two right triangles with the hypotenuse on the ray defining the angles are of length √2 times the circular and hyperbolic functions. The
Hyperbolic_functions
Type of piercing
any shape that threads can be tapped into can be used as a bead. Cubes, triangles, cylinders, cones, disks, and other basic shapes are common alternative
Barbell_(piercing)
Geometry of the surface of a sphere
right-handed triangles, the general law of sines, and the solution of a spherical triangle by means of the polar triangle. The book On Triangles by Regiomontanus
Spherical_geometry
blue and crimson red, with a white, equilateral triangle at the hoist. In the center of the triangle is a golden-yellow sun with eight primary rays, to
Flag_of_the_Philippines
Simple curve of Euclidean geometry
related. Prehistoric people made stone circles and timber circles, and circular elements are common in petroglyphs and cave paintings. Disc-shaped prehistoric
Circle
Measure of a channel flow efficiency
hydraulic diameter, DH, is a commonly used term when handling flow in non-circular tubes and channels. Using this term, one can calculate many things in the
Hydraulic_diameter
Triangle in hyperbolic geometry
In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three
Hyperbolic_triangle
Convex plane region bounded by two circular arcs
In 2-dimensional geometry, a lens is a convex region bounded by two circular arcs joined to each other at their endpoints. In order for this shape to be
Lens_(geometry)
Computer markup language
objects: Point, MultiPoint LineString, MultiLineString Polygon, MultiPolygon, Triangle PolyhedralSurface TIN (Triangulated irregular network) GeometryCollection
Well-known text representation of geometry
Well-known_text_representation_of_geometry
Part of a straight line that is bounded by two distinct end points
segment's supporting line. Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices
Line_segment
Concept in geometry
the vertex and each endpoint of the segment. For example, a side of a triangle subtends the opposite angle. More generally, an angle subtended by an arc
Subtended_angle
Generalization of Pythagorean theorem
theorem) relates the lengths of the sides of a triangle to the cosine of one of its angles. For a triangle with sides a {\displaystyle a} , b {\displaystyle
Law_of_cosines
Point on a line segment which is equidistant from both endpoints
midsegments of the given triangle. It shares the same centroid and medians with the given triangle. The perimeter of the medial triangle equals the semiperimeter
Midpoint
Size of a two-dimensional surface
Heronian triangle, a triangle with integer sides and integer area. List of triangle inequalities One-seventh area triangle, an inner triangle with one-seventh
Area
Mosque in Gaza City, Palestine
gravestone for ibn Marwan. The square room contains circular triangles on its corners, giving it a circular appearance. The prayer hall of the mosque is 200
Ibn_Marwan_Mosque
Non-periodic tiling of the plane
obtuse Robinson triangle, while the larger A-tile, AL, is acute; in contrast, a smaller B-tile, denoted BS, is an acute Robinson triangle, while the larger
Penrose_tiling
Geometric shape
a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180° (equivalently, π radians, or a half-turn). It only
Semicircle
Species of beetle
noble chafer the scutellum is an equilateral triangle, but on the rose chafer it is an isosceles triangle. Rose chafers are capable of fast flight; they
Cetonia_aurata
of the reference triangle ABC. Then the trilinear coordinates of the circular points at infinity in the plane of the reference triangle are as given below:
Circular_points_at_infinity
Cycles in a graph that cover each edge twice
in terms of graph embeddings, and in that context is also known as the circular embedding conjecture. In July 2026, OpenAI released a preprint claiming
Cycle_double_cover
Shape with six sides
hexagon can also be considered as cutting off the vertices of an equilateral triangle, which can also be denoted as t { 3 } {\displaystyle \mathrm {t} \{3\}}
Hexagon
Region between two concentric circles
perpendicular to its radius at that point, so d and r are sides of a right-angled triangle with hypotenuse R, and the area of the annulus is given by A = π ( R 2
Annulus_(mathematics)
Building in Brussels
The Triangle building (initially referred to as The Capital) is an office building on the Robert Schuman Roundabout in the heart of the European Quarter
Triangle_building
Force directed to the center of rotation
along a circular path. The centripetal force is directed at right angles to the motion and also along the radius towards the centre of the circular path
Centripetal_force
Number, approximately 1.618
triangle formed by two diagonals and a side of a regular pentagon is called a golden triangle or sublime triangle. It is an acute isosceles triangle with
Golden_ratio
mall is under construction. The plan shapes of the towers are a circle, a triangle, and a square, with all three towers being shaped as a cylinder, a triangular
Azrieli_Center
Music score with unusual graphical features
the tenets of Christianity in the triangle—also imply a "sense of the infinite.") The work represented in the triangle, is part of a "rough" version of
Eye_music
Spherical triangle that can be used to tile a sphere
In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere (spherical tiling), possibly overlapping
Schwarz_triangle
Circular slide rule used in aviation
One side is used for wind triangle calculations using a rotating scale and a sliding panel. The other side is a circular slide rule. Extra marks and
E6B
Number with a real and an imaginary part
Every triangle has a unique Steiner inellipse – an ellipse inside the triangle and tangent to the midpoints of the three sides of the triangle. The foci
Complex_number
yellow star inside the blue triangle (like the flag of the Belgian Congo), representing the national unity of South Sudan.[circular reference] Since the flag
Flag_of_South_Sudan
Species of barnacle
Balanus trigonus, the triangle barnacle, is a species of barnacle in the family Balanidae. They are steep-sided, conical creatures, have six shell plates
Balanus_trigonus
Form of an object
their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles
Shape
During World War II triangle junctions were built at Griffith, Stockinbingal, which were removed soon after the war. A triangle at Goobang Junction near
List_of_unused_railways
Infinitely detailed mathematical structure
structure tend to look similar to larger parts, such as a circular village made of circular houses. According to Pickover, the mathematics behind fractals
Fractal
Genital piercing
with a 8mm Prince Albert piercing Nicknames PA Location Urethra Jewelry Circular or curved barbell, captive bead ring, Prince's wand, segment ring Healing
Prince Albert (genital piercing)
Prince_Albert_(genital_piercing)
Type of non-Euclidean geometry
hyperbolic triangle has an incircle. In hyperbolic space, if all three of its vertices lie on a horocycle or hypercycle, then the triangle has no circumscribed
Hyperbolic_geometry
Non-orientable surface with one edge
strip and another self-intersecting Möbius strip, the cross-cap, have a circular boundary. A Möbius strip without its boundary, called an open Möbius strip
Möbius_strip
Lalitgiri, Udayagiri, and Ratnagiri, collectively known as the "Diamond Triangle", are included in India's UNESCO Tentative List. Tourism in Odisha List
List of heritage sites in Odisha
List_of_heritage_sites_in_Odisha
Relationship between two lines that meet at a right angle
also play a prominent role in triangle geometry. The Euler line of an isosceles triangle is perpendicular to the triangle's base. The Droz-Farny line theorem
Perpendicular
Geometric construction
is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It is the first curvilinear figure that has been squared—that
Lune_of_Hippocrates
Method of drawing geometric objects
with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point
Straightedge and compass construction
Straightedge_and_compass_construction
Wide-angle photographic lens with strong barrel distortion
35 mm film format, typical focal lengths of fisheye lenses are 8–10 mm for circular images, and 12–18 mm for diagonal images filling the entire frame. For
Fisheye_lens
Symbols of gender, sex, or sexuality
the circle-and-triangle variants (male) and (female) commonly found on portable toilets, sometimes abstracted further to a triangle △ (representing a
Gender_symbol
Ancient Celtic fortification
level. The only visible remains are two circular earth ramparts, covered with stones. In times of war, the circular rampart was a strong fortification against
Hillfort_of_Otzenhausen
A circular blue shield with an eight-rayed golden-yellow Philippine sun at the center. Overlapping the Philippine sun is a red equilateral triangle. Inside
Seal of the president of the Philippines
Seal_of_the_president_of_the_Philippines
Straight line segment that passes through the centre of a circle
kinds of object can be measured by equivalent diameter, the diameter of a circular or spherical approximation to the object. This includes hydraulic diameter
Diameter
Argument of the hyperbolic functions
analogies to the corresponding circular (trigonometric) functions by regarding a hyperbolic angle as defining a hyperbolic triangle. The hyperbolic angle parametrizes
Hyperbolic_angle
Path that surrounds an area
semiperimeter of the triangle. The three splitters of a triangle all intersect each other at the Nagel point of the triangle. A cleaver of a triangle is a segment
Perimeter
Prehistory of the West African subregion of the African continent
Oke, in proximity to Akure, Nigeria, there are engraved geometric (e.g., triangle) and fish rock art. In Bauchi State, Nigeria, there is rock art at the
Prehistoric_West_Africa
Markings applied to aircraft for visual identification
insignia are in the form of a circular roundel or modified roundel; other shapes such as stars, crosses, squares, or triangles are also used. Insignia are
Military_aircraft_insignia
Traffic sign warning drivers of a junction
the sign in red-bordered triangle pointed down in a red circular border. In 1974, the second version using a blue triangle pointed down with a red border
Yield_sign
directed by Chris Haws, made by InCA Productions. 20 September The Bermuda Triangle, a scientific explanation by geochemist Dr Richard McIver, from observations
List_of_Equinox_episodes
important part in Engineering drawings. Circular transversals perform the same function as the linear ones but for circular arcs. In this case, the construction
Transversal (instrument making)
Transversal_(instrument_making)
Mathematical model of the physical space
states that in an isosceles triangle, α = β and γ = δ. The triangle angle sum theorem states that the three angles of a triangle sum to 180°, illustrated
Euclidean_geometry
of a triangle centroid with calculator (Coordinate Geometry) - Math Open Reference". "Quarter Circle". eFunda. Retrieved 23 April 2016. "Circular Half"
List_of_centroids
Conformal mapping in complex analysis
functions. The upper half-plane is mapped to a triangle with circular arcs for edges by the Schwarz triangle map. The upper half-plane is mapped to the square
Schwarz–Christoffel_mapping
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CIRCULAR TRIANGLE
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