Bibliography

Primary sources, classical treatises, and modern triangle geometry monographs cited across the Fundamentals codex.

AbramowitzStegun1964

Abramowitz, Milton, and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. NBS Applied Mathematics Series 55, 1964 (p. 299).

AltshillerCourt2007

Altshiller-Court, Nathan. College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle, 2nd ed. Barnes & Noble, 1952 (Dover reprint, 2007).

BaloglouHelfgott2008

Baloglou, George, and Michel Helfgott. ‘Angles, Area, and Perimeter Caught in a Cubic.’ Forum Geometricorum 8 (2008): 13–25.

CoxeterGreitzer1967

Coxeter, H. S. M., and S. L. Greitzer. Geometry Revisited. Mathematical Association of America, New Mathematical Library #19, 1967.

Dorrie1965

Dörrie, Heinrich. 100 Great Problems of Elementary Mathematics: Their History and Solution. Dover Publications, 1965 (Problem #32, Circles of Apollonius, pp. 154–160).

EuclidElements

Euclid. The Thirteen Books of Euclid’s Elements, translated with introduction and commentary by Sir Thomas L. Heath, 2nd ed. Cambridge University Press, 1926 (Dover reprint, 1956).

Johnson1929

Johnson, Roger A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Houghton Mifflin, 1929 (Dover reprint as Advanced Euclidean Geometry, 1960).

Kimberling1998

Kimberling, Clark. ‘Triangle Centers and Central Triangles.’ Congressus Numerantium 129 (1998): 1–295; and Encyclopedia of Triangle Centers (ETC).

Mitchell2005

Mitchell, Douglas W. ‘A Heron-Type Formula for the Reciprocal Area of a Triangle.’ The Mathematical Gazette 89 (Nov. 2005): 494.

Ogilvy1969

Ogilvy, C. Stanley. Excursions in Geometry. Oxford University Press, 1969 (Dover reprint, 1990).

Posamentier2002

Posamentier, Alfred S. Advanced Euclidean Geometry: Excursions for Students and Teachers. Key College Publishing, 2002.

SeeligNotebooks

Seelig, Fred W. Geometrical Notebooks: 55 Studies in Constructive, Projective, and Algebraic Triangle Geometry (353 manuscript folios, 2011–2015). GEOMETOR Fundamentals Archive.

SeeligSpreadsheets

Seelig, Fred W. Triangles and Circles (OpenDocument Workbook, 59 worksheets) and Circumcircle-Circumcenter studies. GEOMETOR Fundamentals Archive.

Wells1991

Wells, David. The Penguin Dictionary of Curious and Interesting Geometry. Penguin Books, 1991 (p. 75).

Yiu2001

Yiu, Paul. Introduction to the Geometry of the Triangle. Department of Mathematics, Florida Atlantic University, 2001 (rev. 2013).