Bibliography & Cited Sources

Primary monographs, journals, catalogs, and research forums cited across the Encyclopedia of Triangle Centers.

Antreas P. Hatzipolakis (Founder) — ADGEOM / Euclid / Anopolis Geometry Forums

  • Locus: Research postings (2014–present)

  • Notes: Research groups succeeding Hyacinthos as primary sources for new configurations and centers in the ETC.

Nathan Altshiller-Court — College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle

  • Locus: 2nd ed., Barnes & Noble, New York (1952)

  • Notes: Classic treatise on synthetic triangle geometry cited throughout the ETC for historical priority and constructions.

Paul Yiu (Ed.) — Forum Geometricorum

  • Locus: Florida Atlantic University, Vols. 1–20 (2001–2020)

  • Notes: Peer-reviewed journal dedicated to classical Euclidean and modern triangle geometry.

Bernard Gibert — Cubics in the Triangle Plane (CTC)

  • Locus: Online Encyclopedia of Triangle Cubics (K001–K1200+)

  • Notes: Comprehensive catalog of pivotal, isogonal, isotomic, and general curves in the plane of a triangle, referenced via K-indices across the ETC.

Antreas P. Hatzipolakis (Founder) — Hyacinthos — Triangle Geometry Forum

  • Locus: Messages #1–#28000+ (1999–2018)

  • Notes: The primary international research mailing list where thousands of triangle centers and theorems in the ETC were discovered and proved.

Roger A. Johnson — Modern Geometry (Advanced Euclidean Geometry)

  • Locus: Houghton Mifflin (1929); Dover reprint (1960)

  • Notes: Standard reference on the geometry of the triangle, Miquel and Johnson circles, Brocard geometry, and Tucker circles.

Clark Kimberling — Central Points and Central Lines in the Plane of a Triangle

  • Locus: Mathematics Magazine 67 (1994), 163–187

  • Notes: Landmark paper introducing the systematic indexing of triangle centers Xn and central lines L(n).

Clark Kimberling — Collineations, Conjugacies, and Cubics

  • Locus: Forum Geometricorum 2 (2002), 21–32

  • Notes: Introduces the Hebrew-letter conjugacies (aleph, beth, gimel, daleth, he, waw, zayin) and their cubic loci.

Eric W. Weisstein — MathWorld — A Wolfram Web Resource

  • Locus: https://mathworld.wolfram.com/

  • Notes: Comprehensive online mathematical encyclopedia with interactive illustrations and cross-references for Kimberling centers.

Stanley Rabinowitz — Location of Triangle Centers Relative to the Incircle and Circumcircle

  • Locus: International Journal of Computer Discovered Mathematics (IJCDM) 6 (2021)

  • Notes: Systematic classification of which triangle centers lie strictly inside, on, or outside the incircle and circumcircle.

Clark Kimberling — Triangle Centers and Central Triangles (TCCT)

  • Locus: Congressus Numerantium 129 (1998), i–295

  • Notes: Foundational monograph establishing the formal theory of triangle centers, central lines, central triangles, and the initial 400 centers of the ETC.