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Everything about Incenter
Center of the inscribed circle of a triangle
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 or scale. The incenter may be equivalently defined as the point where the internal angle bisectors of the triangle cross, as the point equidistant from the triangle's sides, as the junction point of the medial axis and innermost point of the grassfire transform of the triangle, and as the center point of the inscribed circle of the triangle. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: IncenterA 5-minute orientation
- Skim a recent paper: Software and Date for "Learning in Inverse Optimization: Incenter Cost, Augmented Suboptimality Loss, and Algorithms"Influential work since 2022
- Pick up a classic book: FreakonomicsThe most-reprinted book on the subject
- Read the landmark paper: The medal points’ incenter for rankings in sportCited 24 times
- Go sideways: Euler lineA closely related topic
- Go sideways: Nine-point centerA closely related topic
📖 Definitions
Noun The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The medal points’ incenter for rankings in sport
Incenter subdivision scheme for curve interpolation
A hybrid approach of fuzzy risk assessment-based incenter of centroid and MCDM methods for multimodal transportation route selection
Some Information Measures Based on Centroid, Orthocenter, Circumcenter and Incenter Points of Transformed Triangular Fuzzy Numbers and their Applications
Dichotomized Incenter Fuzzy Triangular Ranking Approach to Optimize Interval Data Based Transportation Problem
Generalization of the incenter subdivision scheme
An Economical New Process for Incenter Bicarbonate Dialysate Production: Comparison with Acetate in a Large Dialysis Population
Learning in Inverse Optimization: Incenter Cost, Augmented Suboptimality Loss, and Algorithms
🆕 Influential since 2022
Software and Date for "Learning in Inverse Optimization: Incenter Cost, Augmented Suboptimality Loss, and Algorithms"
On the incenter and the Bevan point of a triangle
Incenter of triangle as a stationary point
Managing Anaphylaxis: Causes, Symptoms, and Treatments in the InCenter and Home Dialysis Settings
Three Dimensional Analysis of Arguments in Korean and US Textbooks of the Circumcenter and Incenter of a Triangle
📚 Books worth reading
FreakonomicsSteven D. Levitt, Stephen J. Dubner · 2005
Punished by RewardsAlfie Kohn · 1993
Discover Your Inner EconomistTyler Cowen, Núria Parés Sellarés · 2007
A toolkit of motivational skillsCatherine Fuller · 2008
Efficiency wagesAndrew Weiss · 1990
Description of bills (H.R. 1955, H.R. 1735, and H.R. 2375) relating to distressed area tax incentivesUnited States. Congress. House. Committee on Ways and Means · 1983- 📕IncentivesCampbell, Donald E. · 2002
Managing Employee Performance and RewardShields, John, Michelle Brown · 2003
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- 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…
- Nine-point center In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale…
- Incircle and excircles In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the…
- Medial triangle In Euclidean geometry, the medial triangle or midpoint triangle of a triangle △ABC is the triangle with vertices at the midpoints of the triangle's sides…
- 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…
- Orthocenter The orthocenter of a triangle, usually denoted by H, is the point where the three (possibly extended) altitudes intersect. The orthocenter lies inside…
- Central line (geometry) In geometry, central lines are certain special straight lines that lie in the plane of a triangle. The special property that distinguishes a straight line…
- List of triangle inequalities In geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting…