Everything about Triangle
Shape with three sides
A triangle or trigon is a polygon consisting of three sides connected at three corners. It is one of the basic shapes in geometry and the simplest of polygons. The corners, also called vertices, are zero-dimensional points while the sides connecting them, also called edges, are one-dimensional line segments. A triangle has three internal angles, each one bounded by a pair of adjacent sides; the sum of angles of a triangle always equals a straight angle. The triangle is a plane figure and its interior is a planar region. Sometimes an arbitrary edge is chosen to be the base, in which case the opposite vertex is called the apex; the shortest segment between the base and apex is the height. The area of a triangle equals one-half the product of height and base length. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: TriangleA 5-minute orientation
- Skim a recent paper: Associative functions and statistical triangle inequalitiesInfluential work since 2022
- Pick up a classic book: Wuthering HeightsThe most-reprinted book on the subject
- Read the landmark paper: Calcium, ATP, and ROS: a mitochondrial love-hate triangleCited 2,290 times
- Go sideways: MidpointA closely related topic
- Go sideways: IncenterA closely related topic
📖 Definitions
Noun A polygon with three sides and three angles.
Noun A set square.
Noun A percussion instrument made by forming a metal rod into a triangular shape which is open at one angle. It is suspended from a string and hit with a metal bar to make a resonant sound.
Noun A triangular piece of equipment used for gathering the balls into the formation required by the game being played.
🏆 Landmark papers (most cited)
Calcium, ATP, and ROS: a mitochondrial love-hate triangle
The Cosmic Triangle: Revealing the State of the Universe
The toxic triangle: Destructive leaders, susceptible followers, and conducive environments
Fast, Minimum Storage Ray-Triangle Intersection
Hydrodynamics with Triangle Anomalies
Deformation transfer for triangle meshes
High degree efficient symmetrical Gaussian quadrature rules for the triangle
An Overview of the "Triangle Method" for Estimating Surface Evapotranspiration and Soil Moisture from Satellite Imagery
🆕 Influential since 2022
Associative functions and statistical triangle inequalities
Targeting the Holy Triangle of Quorum Sensing, Biofilm Formation, and Antibiotic Resistance in Pathogenic Bacteria
Ibrutinib combined with immunochemotherapy with or without autologous stem-cell transplantation versus immunochemotherapy and autologous stem-cell transplantation in previously untreated patients with mantle cell lymphoma (TRIANGLE): a three-arm, randomised, open-label, phase 3 superiority trial of the European Mantle Cell Lymphoma Network
Novel distance measures for intuitionistic fuzzy sets based on various triangle centers of isosceles triangular fuzzy numbers and their applications
The “Vertigo” of the Food Sector within the Triangle of Climate Change, the Post-Pandemic World, and the Russian-Ukrainian War
📚 Books worth reading
Wuthering HeightsEmily Brontë · 1846
Ethan FromeEdith Wharton · 1910
The French Lieutenant's WomanJohn Fowles · 1967
ChristineStephen King · 1983
It Ends With UsColleen Hoover · 2012
The One (The Selection #3)Kiera Cass · 2012
Gli indifferentiAlberto Moravia · 1930
Twisted LoveAna Huang · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Midpoint In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and…
- Incenter In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement…
- Concurrent lines In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point. The set of all lines through a point is called…
- Circumcircle In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called…
- Cyclic quadrilateral In geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral (four-sided polygon) whose vertices all lie on a single circle, making…
- Concyclic points In geometry, a set of points are said to be concyclic (or cocyclic) if they lie on a common circle. A polygon whose vertices are concyclic is called a…
- Euler line In geometry, the Euler line, named after Leonhard Euler (/ˈɔɪlər/ OY-lər), is a line determined from any triangle that is not equilateral. It is a central…
- Harmonic quadrilateral In Euclidean geometry, a harmonic quadrilateral is a quadrilateral whose four vertices lie on a circle, and whose pairs of opposite edges have equal products…