Paul
Yiu
Department of Mathematics
Florida Atlantic University
An Introduction to the Geometry of
the Triangle, 2001 [ps file][pdf]
Notes
on Euclidean Geometry, 1998
Elementary Mathematical Works of Leonhard
Euler, 1999 [ps file][pdf]
with
a chronologial listing of Euler's works [ps file][pdf]
Recreational Mathematics,
2003
Algebraic
Topology, 2006
Number Theory, 2007
A Tour
of Triangle Geometry, February 2004
A Short
Tour of Triangle Geometry Around the Nine-point Circle (GSP),
April 2007
Regular Heptagon by Angle Trisection and Other Constructions
[ps][pdf], April
2007
Heron triangles which cannot be decomposed into two integer
right triangles [ps] [pdf], February 2008
The circles of Lester, Evans,
Parry, and their generalizations, August 2008.
Geometry Papers:
- Construction
of integer right triangles with consecutive legs in the tradition
of Jiuzhang Suanshu, (Chinese) EduMath. no.3,
(1996) 26 -- 32.
- Heronian triangles with associated inradii
in arithmetic progression, Crux Math.,
23 (1997) 146 -- 149.
- Isosceles triangles
equal in perimeter and area, Missouri
J. Math. Sci., 10 (1998) 106 -- 111.
- Construction
of indecomposable Heronian triangles, Rocky
Mountain Journal of Mathematics, 28 (1998) 1189 -- 1202.
- (with Clayton
Dodge, Thomas Schoch, and Peter Woo) Those ubitiquous Archimedean circles,
Math. Mag., 72 (1999) 202 -- 213.
- Mixtilinear incircles, Amer.
Math. Monthly, 106 (1999) 952 -- 955.
- The uses of homogeneous barycentric coordinates
in plane euclidean geometry, Int. J. Math. Educ.
Sci. Technol., 31 (2000) 569 -- 578.
- 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.
- Heronian triangles are lattice triangles,
Amer. Math. Monthly, 108 (2001) 261
-- 263.
- (with A.P. Hatzipolakis,
F.M. van Lamoen and Barry Wolk), Concurrency
of four Euler lines, Forum Geom., 1 (2001)
59 -- 68.
- (with A.P. Hatzipolakis)
The Lucas circles of a triangle,
Amer. Math. Monthly, 108 (2001) 444 -- 446.
- (with A.P. Hatzipolakis),
Pedal
triangles and their shadows, Forum Geom.,
1 (2001) 81--90.
- The volume of
an isosceles tetrahedron and the Euler line, Mathematics
and Informatics Quarterly, 11 (2001) 15 -- 19.
- (with F.M. van
Lamoen) The Kiepert
pencil of Kiepert hyperbolas, Forum Geom.,
1 (2001) 125 -- 132;
- Over de lijnen
van Fermat (Dutch translation by Floor van Lamoen), Euclides,
77 (2002) 188 -- 193; with minor revision, On the
Fermat lines, Forum Geom., 3 (2003)
83--91.
- (with D. Grinberg)
The Apollonius
circle as a Tucker circle, Forum Geom.,
2 (2002) 175--182.
- The congruent -
incircle cevians of a triangle, Missouri J. Math.Sci.,
15 (2003) 21--32.
- (with N. Dergiades)
Antiparallels
and concurrent Euler lines, Forum Geom.,
4 (2004) 1--20.
- Generalized Apollonian
circles, Journal for Geometry and Graphics,
8 (2004) 225--230.
- 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; also in Forum Geom.,
5 (2005) 75--96.
- (with M. Hoffmann)
Moving central axonometric reference systems, Journal
for Geometry and Graphics, 9 (2005) 133--140.
- On Emelyanov's
circle theorem, Journal for Geometry and Graphics,
9 (2005) 155--167.
- (with B. Suceava),
The Feuerbach
point and Euler lines, Forum Geom.,
6 (2006) 191--197.
- Some
constructions related to the Kiepert hyperbola, Forum
Geom., 6 (2006) 343--357.
- (with C. Pohoata) On a product
of two points induced by their cevian triangles, Forum Geom.,
7 (2007) 169--180.
- (with F. M. van Lamoen) Construction
of Malfatti squares, Forum Geom., 8 (2008) 49 -- 59.
- Conic solution of Euler's triangle determination
problem, Journal for Geometry and Graphics, 12 (2008) 75--80.
- Dynamic
triangle geomety: families of lines with equal intercepts, Int.
J. Comput. Math. Learning, 13 (2008) 159--170.
Last modified: September 30, 2008.