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{{short description|Triangle centers found by trisecting each vertex}} ...designated as X(356) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]], while the other point called '''second Morley center'''<ref name=Clark/> ...

{{short description|Triangle center}} ...Steiner point]].<ref>{{cite web|last=Kimberling|first=Clark|title=Triangle centers|url=http://faculty.evansville.edu/ck6/tcenters/|accessdate=24 May 2012}}</r ...

{{Short description|Triangle center: circumcenter of a triangle's excentral triangle}} {{legend-line|solid black|Reference triangle {{math|△''ABC''}}}} ...

{{short description|Triangle center}} ...designated ''X''(111) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]]. The Parry point and Parry circle are named in honor of the English geome ...

{{short description|Triangle center}} ...C>{{cite web |last=Kimberling |first=Clark |title=Encyclopedia of Triangle Centers |url=http://faculty.evansville.edu/ck6/encyclopedia/ETC.html |accessdate=12 ...

{{short description|Triangle center}} ...ville.edu/ck6/encyclopedia/ETC.html |encyclopedia=Encyclopedia of Triangle Centers |access-date=3 June 2012 |url-status=dead |archive-url=https://web.archive. ...

{{short description|Triangle derived from a given triangle and a coplanar point}} ...triangle. It is also associated with the [[circumcircle]] of the reference triangle. ...

...e centers of the two [[Soddy circles of a triangle|Soddy circles]] of that triangle. ...onne-Soddy triangle]]. The [[Gergonne point]] and the [[incenter]] of the triangle are located on the Soddy line as well. ...

{{short description|Triangle center}} ...lines|concurrence]] of the three line segments joining each vertex of the triangle to the points of [[tangency]] formed by the opposing [[excircle]] and a lar ...

{{Short description|Type of triangle center}} ...d as the center X(99) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]]. [[Jakob Steiner]] (1796–1863), Swiss mathematician, described this point ...

{{short description|Triangle center}} ...ter denoted as X(359) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]]. The Hofstadter zero-point was discovered by [[Douglas Hofstadter]] in 1 ...

{{short description|Triangle center}} {{legend-line|solid black|Triangle {{math|△''ABC''}} (side lengths {{mvar|a, b, c}})}} ...

...'{{sub|1}}}} and {{Math|''A''{{sub|2}}}} points on {{Mvar|BC}} , a side of triangle {{Mvar|ABC}} . And, define {{Math|''B''{{sub|1}}, ''B''{{sub|2}}, ''C''{{su ...h cuts three sides of triangle that satisfies the ratio are countless. The centers of these circles are on the [[hyperbola]] through the [[incenter]], three [ ...

{{Short description|Circle constructed from a triangle}} [[File:Orthocentroidal disk.svg|thumb|360px|A triangle (black), its [[orthocenter]] (blue), its [[centroid]] (red), and its orthoc ...

...ircles I, <math>I_A</math>,<math>I_B</math>,<math>I_C</math> of a circular triangle ABC and its associated triangles.]] ...ived from three given circles that cross pairwise to form eight [[circular triangle]]s. For any one of these eight triangles, and its three neighboring triangl ...

{{short description|Center of mass of a triangle's perimeter}} ...s the point ''X''(10) in [[Clark Kimberling]]'s [[Encyclopedia of Triangle Centers]]. ...

...in the catalogue is "K001" which is the [[Neuberg cubic]] of the reference triangle {{mvar|ABC}}. The catalogue provides, among other things, the following inf *A list of [[triangle center]]s which lie on the curve ...

{{short description|Unique circle centered at a given triangle's orthocenter}} {{legend-line|solid #4169E1|Reference triangle {{math|△''ABC''}}}} ...

{{Short description|Conic curves associated with a triangle}} ...Kiepert conics''' are two special [[conic]]s associated with the reference triangle. One of them is a [[hyperbola]], called the '''Kiepert hyperbola''' and the ...

{{Short description|Triangle center}} ...Peter|title=The isoperimetric point and the point(s) of equal detour in a triangle|journal=Journal of Geometry|year=2007|volume=87|issue=1–2|pages=76–82|doi=1 ...