Paul Yiu
Department of Mathematical Sciences
Florida Atlantic University

Papers in Classical Euclidean Geometry
    51. (With Sandor N. Kiss) On the Tucker circles, Forum Geom., 17 (2017) 157--175.
    50. (With Xiao-Dong Zhang) A most basic triad of parabolas associated with a triangle, preprint.
    49. (With Dao Thanh Oai and Ngo Quang Duong) Golden sections in an isosceles triangle and its circumcircle, Global Journal of Advanced Research for Classical and Modern Geometry, 5 (2016) 93--97.
    48. (With Djura Paunic) Regular polygons and the golden section, Forum Geom., 16 (2016) 273--281.
    47. Lines simultaneously bisecting the perimeter and area of a triangle, Global Journal of Advanced Research for Classical and Modern Geometry, 5 (2016) 7--14.
    46. (With Francisco Javier Garcia Capitan) Three mutually tangent congruent circles tangent to the sidelines of a triangle, International Journal of Geometry, 5 (2016) 15--18.
    45. (With Emmanuel A. J. Garcia) Golden sections of triangle centers in the golden triangles, Forum Geom.,16 (2016) 119--124.
    44. Collinearity of the reflections of the intercepts of a line in the angle bisectors of a triangle, International Journal of Computer Discovered Mathematics, 0 (2015) 27--31.
    43. Iterations of sum of powers of digits, International Journal of Computer Discovered Mathematics, 0 (2015) 21--26.
    42. The Kariya problem and related constructions, Forum Geom., 15 (2015) 191--201.
    41. Three constructions of Archimedean circles in an arbelos, Forum Geom., 14 (2014) 255--260.
    40. (With Sandor N. Kiss) The touchpoints triangles and the Feuerbach hyperbolas, Forum Geom., 14 (2014) 63--86.
    39. On the conic through the intercepts of the three lines through the centroid and the intercepts of a given line, Forum Geom., 13 (2013) 87--102.
    38. Conic construction of a triangle from its incenter, nine-point center, and a vertex, Journal for Geometry and Graphics, 16 (2012) 171--183.
    37. Geometry of sum-difference numbers, College Math. Journal, 43 (2012) 408--409.
    36. Sherman's fourth side of a triangle, Forum Geom., 12 (2012) 219--225.
    35. Polygonal triples and the double ruling of a hyperboloid, Int. J. Math. Educ. Sci. Technol., 43 (2012) 831--839.
    34. (With N. Dergiades) The golden section with a collapsible compass only, Forum Geom., 11 (2011) 255--259.
    33. Rational Steiner porism, Forum Geom., 11 (2011) 237--249.
    32. The circles of Lester, Evans, Parry, and their generalization, Forum Geom., 10 (2010) 175--209.
    31. (With A. P. Hatzipolakis) Reflections in triangle geometry, Forum Geom., 9 (2009) 301--348.
    30. Heptagonal triangles and their companions, Forum Geom., 9 (2009) 125--148.
    29. (With K. R. S. Sastry and S. Gao), Heron sequences and their modifications, Combinatorial Number Theory, pp. 199--204, de Gruyter, 2009.
    28. Conic construction of a triangle from the feet of its angle bisectors, Journal for Geometry and Graphics, 12 (2008) 171--182.
    27. Dynamic triangle geomety: families of lines with equal intercepts, Int. J. Comput. Math. Learning, 13 (2008) 159--170.
    26. Conic solution of Euler's triangle determination problem, Journal for Geometry and Graphics, 12 (2008) 75--80.
    25. (With F. M. van Lamoen) Construction of Malfatti squares, Forum Geom., 8 (2008) 49--59.
    24. (With C. Pohoata) On a product of two points induced by their cevian triangles, Forum Geom., 7 (2007) 169--180.
    23. Some constructions related to the Kiepert hyperbola, Forum Geom., 6 (2006) 343--357.
    22. (With B. Suceava) The Feuerbach point and Euler lines, Forum Geom., 6 (2006) 191--197.
    21. On Emelyanov's circle theorem, Journal for Geometry and Graphics, 9 (2005) 155--167.
    20. (With M. Hoffmann) Moving central axonometric reference systems, Journal for Geometry and Graphics, 9 (2005) 133--140.
    19. Elegant geometric constructions, Forum Geom., 5 (2005) 75--96.
    18. Generalized Apollonian circles, Journal for Geometry and Graphics, 8 (2004) 225--230.
    17. (With N. Dergiades) Antiparallels and concurrent Euler lines, Forum Geom., 4 (2004) 1--20.
    16. The congruent incircle cevians of a triangle, Missouri J. Math. Sci., 15 (2003) 21--32.
    15. (With D. Grinberg) The Apollonius circle as a Tucker circle, Forum Geom., 2 (2002) 175--182.
    14. On the Fermat lines, Forum Geom., 3 (2003) 83--91.
    13. (With F. M. van Lamoen) The Kiepert pencil of Kiepert hyperbolas, Forum Geom., 1 (2001) 125 -- 132.
    12. The volume of an isosceles tetrahedron and the Euler line, Mathematics and Informatics Quarterly, 11 (2001) 15 -- 19.
    11. (With A. P. Hatzipolakis) Pedal triangles and their shadows, Forum Geom., 1 (2001) 81--90.
    10. (With A. P. Hatzipolakis) The Lucas circles of a triangle, Amer. Math. Monthly, 108 (2001) 444--446.
    9. (With A. P. Hatzipolakis, F. M. van Lamoen, and B. Wolk) Concurrency of four Euler lines, Forum Geom., 1 (2001) 59--68.
    8. Heronian triangles are lattice triangles, Amer. Math. Monthly, 108 (2001) 261--263.
    7. The length of x_1^4+x_2^4+x_3^4+x_4^4 as a sum of squares, Journal of Pure and Applied Algebra, 156 (2001) 367--373.
    6. The uses of homogeneous barycentric coordinates in plane euclidean geometry, Int. J. Math. Educ. Sci. Technol., 31 (2000) 569--578.
    5. Mixtilinear incircles, Amer. Math. Monthly, 106 (1999) 952--955.
    4. (With C. Dodge, T. Schoch, and P. Woo) Those ubitiquous Archimedean circles, Math. Mag., 72 (1999) 202--213.
    3. Construction of indecomposable Heronian triangles, Rocky Mountain Journal of Mathematics, 28 (1998) 1189--1202.
    2. Isosceles triangles equal in perimeter and area, Missouri J. Math. Sci., 10 (1998) 106--111.
    1. Heronian triangles with associated inradii in arithmetic progression, Crux Math., 23 (1997) 146--149.
Course Notes
    Notes on Euclidean Geometry, 1998
    Elementary Mathematical Works of Leonhard Euler, 1999
    Introduction to the Geometry of the Triangle, 2001 (with corrections 2013)
    Recreational Mathematics, 2003
    Algebraic Topology, 2006
    Number Theory, 2007
Lectures
    A tour of Triangle Geometry via the Geometer's Sketchpad, 2004
    A short tour of Triangle Geometry around the nine-point circle, 2007
    Regular heptagon by angle trisection and other constructions, 2007
    Heron triangles which cannot be decomposed into two integer right triangles, 2008
    The circles of Lester, Evans, Parry, and their generalizations, 2008
    Heptagonal triangles and their companions, 2009
Last update: May 21, 2017.