Papers in Classical Euclidean Geometry

36.      (with N. Dergiades) The golden section with a collapsible compass only, Forum Geom., 11 (2011) 255--259.

35.      Rational Steiner porism, Forum Geom., 11 (2011) 237--249.

34.      Polygonal triples and the double ruling of a hyperboloid, Int. J. Math. Educ. Sci. Technol., 31 (2011) 1--9 iFirst.

33.      The circles of Lester, Evans, Parry, and their generalization, Forum Geom., 10 (2010) 175--209.

32.      (with A. P. Hatzipolakis) Reflections in triangle geometry, Forum Geom., 9 (2009) 301--348.

31.      Heptagonal triangles and their companions, Forum Geom., 9 (2009) 125--148.

30.      (with K. R. S. Sastry and S. Gao) Heron sequences and their modifications, Combinatorial Number Theory, pp. 199--204, de Gruyter, 2009.

29.      Conic construction of a triangle from the feet of its angle bisectors, Journal for Geometry and Graphics, 12 (2008) 171--182.

28.      Dynamic triangle geomety: families of lines with equal intercepts, Int. J. Comput. Math. Learning, 13 (2008) 159--170.

27.      Conic solution of Euler's triangle determination problem, Journal for Geometry and Graphics, 12 (2008) 75--80.

26.      (with F. M. van Lamoen) Construction of Malfatti squares, Forum Geom., 8 (2008) 49 -- 59.

25.      (with C. Pohoata) On a product of two points induced by their cevian triangles, Forum Geom., 7 (2007) 169--180.

24.      Some constructions related to the Kiepert hyperbola, Forum Geom., 6 (2006) 343--357.

23.      (with B. Suceava), The Feuerbach point and Euler lines, Forum Geom., 6 (2006) 191--197.

22.      On Emelyanov's circle theorem, Journal for Geometry and Graphics, 9 (2005) 155--167.

21.      (with M. Hoffmann) Moving central axonometric reference systems, Journal for Geometry and Graphics, 9 (2005) 133--140.

20a.      Elegant geometric constructions, in N.Y. Wong, C.K. Leung, M.Y. Tang (Eds.), Revisiting Mathematics Education in Hong Kong for the New Millennium, Hong Kong Association for Mathematics Education, pp.173--203.

20b.      Elegant geometric constructions, Forum Geom., 5 (2005) 75--96.

19.      Generalized Apollonian circles, Journal for Geometry and Graphics, 8 (2004) 225--230.

18.      (with N. Dergiades) Antiparallels and concurrent Euler lines, Forum Geom., 4 (2004) 1--20.

17.      The congruent - incircle cevians of a triangle, Missouri J. Math.Sci., 15 (2003) 21--32.

16.      (with D. Grinberg) The Apollonius circle as a Tucker circle, Forum Geom., 2 (2002) 175--182.

15a.      Over de lijnen van Fermat (Dutch translation by Floor van Lamoen), Euclides, 77 (2002) 188 -- 193.

15b.      On the Fermat lines, Forum Geom., 3 (2003) 83--91.

14.      (with F.M. van Lamoen) The Kiepert pencil of Kiepert hyperbolas, Forum Geom., 1 (2001) 125 -- 132.

13.      The volume of an isosceles tetrahedron and the Euler line, Mathematics and Informatics Quarterly, 11 (2001) 15 -- 19.

12.      (with A.P. Hatzipolakis), Pedal triangles and their shadows, Forum Geom., 1 (2001) 81--90.

11.      (with A.P. Hatzipolakis) The Lucas circles of a triangle, Amer. Math. Monthly, 108 (2001) 444 -- 446.

10.      (with A.P. Hatzipolakis, F.M. van Lamoen and Barry Wolk), Concurrency of four Euler lines, Forum Geom., 1 (2001) 59 -- 68.

9.      Heronian triangles are lattice triangles, Amer. Math. Monthly, 108 (2001) 261--263.

8.      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.

7.      The uses of homogeneous barycentric coordinates in plane euclidean geometry, Int. J. Math. Educ. Sci. Technol., 31 (2000) 569 -- 578.

6.      Mixtilinear incircles, Amer. Math. Monthly, 106 (1999) 952 -- 955.

5.      (with Clayton Dodge, Thomas Schoch, and Peter Woo) Those ubitiquous Archimedean circles, Math. Mag., 72 (1999) 202 -- 213.

4.      Construction of indecomposable Heronian triangles, Rocky Mountain Journal of Mathematics, 28 (1998) 1189 -- 1202.

3.      Isosceles triangles equal in perimeter and area, Missouri J. Math. Sci., 10 (1998) 106 -- 111.

2.      Heronian triangles with associated inradii in arithmetic progression, Crux Math., 23 (1997) 146 -- 149.

1.      Construction of integer right triangles with consecutive legs in the tradition of Jiuzhang Suanshu, (Chinese) EduMath. no.3, (1996) 26 -- 32.

Lecture Notes

An Introduction to the Geometry of the Triangle, 2001

Notes on Euclidean Geometry, 1998

Elementary Mathematical Works of Leonhard Euler, 1999

Recreational Mathematics, 2003

A Tour of Triangle Geometry, 2004

Algebraic Topology, 2006

Number Theory, 2007

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 generalization, 2008

Heptagonal triangles and their companions, 2009

Last Update: December 8, 2011.