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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
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
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
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
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
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
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
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
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
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 Providence
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
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)
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
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)
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
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
Geometric line segment whose endpoints lie on a circular arc
\theta =2\arcsin {\frac {c}{2r}}} Circular segment – the part of the sector that remains after removing the triangle formed by the center of the circle
Chord_(geometry)
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
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
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
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
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
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
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
Characterizes spherical triangles with fixed base and area
sides of the spherical triangle then project to two straight segments and a circular arc. If the tangent lines to the circular side at the other two vertices
Lexell's_theorem
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
1968 international treaty
written in white Circular White or yellow Red 0.9 m (large), 0.6 m (small) Stop written in black or dark blue inside red inverted triangle Priority road
Vienna Convention on Road Signs and Signals
Vienna_Convention_on_Road_Signs_and_Signals
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
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
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)
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
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
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
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
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
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)
Diagram in Austrian economics
"roundaboutness" in capital theory. The Hayekian triangle has been described as the Austrian School's counterpart to the circular-flow diagram, because it emphasizes
Hayekian_triangle
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
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
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
Skyscraper complex in Tel Aviv, Israel
parking garage. The tower cost $420 million to build. The Azrieli Center Circular Tower is the tallest of the three towers, measuring 187 m (613 ft 6 in)
Azrieli_Center
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
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
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
Shape containing unit line segments in all directions
this triangle to make its area smaller while keeping the directions through which the needle can sweep the same. First, consider dividing the triangle into
Kakeya_set
601st Battalion was killed in Rafah. Germany banned the upside down red triangle symbol used by the Al-Qassam Brigades to mark enemy targets. The Al-Quds
Timeline of the Gaza war (7 May 2024 – 12 July 2024)
Timeline_of_the_Gaza_war_(7_May_2024_–_12_July_2024)
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
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
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
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
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
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
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)
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
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
Field of mathematics which studies incidence structures
three lines, so the simplest non-trivial linear space that can exist is a triangle. A linear space having at least three points on every line is a Sylvester–Gallai
Incidence_geometry
Nonlinear differential operator used to study conformal mappings
accessory parameters, which can be difficult to determine in practise. For a triangle, when n = 3, there are no accessory parameters. The ordinary differential
Schwarzian_derivative
Renaissance art in Florence
achieved by the compact, geometric shapes that make up the statue. The triangle formed by the spread legs in "compass-style", the ovals of the shield and
Florentine_Renaissance_art
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
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
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
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
Decorative 5th–11th century clothing fasteners
there were two main categories of brooch: the long (bow) brooch and the circular (disc) brooch. The long brooch category includes cruciform, square-headed
Anglo-Saxon_brooches
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
with square wheels can deliver a relatively smooth ride. Reuleaux triangle Non-circular gear Peterson, Ivars (4 April 2004), "Riding on Square Wheels",
Square_wheel
Mathematical space with two coordinates
Simple Convex Concave Star Regular Reuleaux Triangle Centers Altitude Hypotenuse Pythagorean theorem Circular Reuleaux Hyperbolic Ideal Spherical Quadrilateral
Two-dimensional_space
Roulette curve made from circles with radii that differ by factors of 3 or 1.5
the triangle's sides. [1] A deltoid was proposed as a solution to the Kakeya needle problem. Astroid, a curve with four cusps Circular horn triangle, a
Deltoid_curve
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
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
the Play for Today series on BBC1. 5 January – Debut of the BBC1 soap Triangle, a twice-weekly series set aboard a North Sea ferry, and filmed on location
Timeline_of_BBC_One
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
Recreational mathematics planar boundary and area problem
grazing a circular area: the interior grazing problem and the exterior grazing problem. The former involves grazing the interior of a circular area, and
Goat_grazing_problem
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
Branch of differential geometry and differential topology
Simple Convex Concave Star Regular Reuleaux Triangle Centers Altitude Hypotenuse Pythagorean theorem Circular Reuleaux Hyperbolic Ideal Spherical Quadrilateral
Symplectic_geometry
Brief history of Constantinople from 330 to 1453
personally supervised the work. The fortress was built in the shape of a triangle or an irregular pentagon and its high walls were crowned with four large
History_of_Constantinople
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