Forum Geometricorum
Volume 18 (2018)
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1.
Stefan Liebscher and Dierck-E. Liebscher, The relativity of conics and circles,
1--6.
2. Carl Eberhart, Revisiting the quadrisection problem
of Jacob Bernoulli, 7--16.
3. C. E. Garza-Hume, Maricarmen C. Jorge,
and Arturo Olvera, Areas and
shapes of planar irregular polygons, 17--36.
4. Samuel G. Moreno and Esther M.
García--Caballero, Irrationality
of √2: Yet another visual proof, 37--38.
5. Manfred Pietsch, Two hinged regular n-sided polygons,
39--42.
6. Hiroshi Okumura, A remark on the arbelos and the
regular star polygon, 43--44.
7. Lubomir P. Markov, Revisiting the infinite surface area
of Gabriel's horn, 45--46.
8. Giovanni Lucca, Integer sequences and circle chains
inside a circular segment, 47--55.
9. Michel Bataille, On the extrema of some distance
ratios, 57--62.
10. Apostolos Hadjidimos, Twins of Hofstadter elements,
63--70.
11. Li Zhou, Primitive Heronian triangles with
integer inradius and exradii, 71--77.
12. Francisco Javier
García Capitán, A family of triangles for which two
specific triangle centers have the same coordinates, 79--82.
13. Robert Bosch, A new proof of Erdős-Mordell inequality,
83--86.
14. Paris Pamfilos, Parabola conjugate to rectangular
hyperbola, 87--92.
15. Gerasimos T. Soldatos, A toroidal approach to the doubling
of the cube, 93--97.
16.
Hiroshi Okumura and Saburou Saitoh, Remarks for the twin circles of
Archimedes in a skewed arbelos, 99--102.
17. (Retracted) Sándor
Nagydobai Kiss, On the cyclic
quadrilaterals with the same Varignon parallelogram, 103--113.
18. Gábor
Gévay, An extension of
Miquel's six-circles theorem, 115--118.
19. Nicholas D.
Brubaker, Jasmine Camero, Oscar Rocha Rocha, Roberto Soto, and Bogdan D. Suceavǎ,
A curvature invariant inspired by
Leonhard Euler's inequality R ≥
2r, 119--127.
20. Michel Bataille, Constructing a triangle from two
vertices and the symmedian point, 129--133.
21. Eugen J. Ionaşcu, The ``circle" of Apollonius in Hyperbolic Geometry, 135--140.
22. Mark Shattuck, A geometric inequality for cyclic
quadrilaterals, 141--154.
23. Hiroshi Okumura and
Saburou Saitoh, Harmonic mean and
division by zero, 155--159.
24. Paris Pamfilos, Rectangles circumscribing a quadrangle,
161--184.
25. Mihály Bencze and
Marius Drǎgan, The Blundon
theorem in an acute triangle and some consequences, 185--194.
26. Purevsuren Damba and
Uuganbaatar Ninjbat, Side disks of
a spherical great polygon, 195--201.
27. Nikolaos Dergiades, Parallelograms inscribed in convex
quadrangles, 203 --218.
28. Mohammad K. Azarian, ``A Study of Risāla al-Watar
wa'l Jaib'' (The Treatise on the
Chord and Sine): Revisited, 219--222.
29. Blas Herrera, Algebraic equations of all involucre
conics in the configuration of the c-inscribed equilateral triangles of a
triangle, 223 --238.
30. Tran Quang Hung, A construction of the golden ratio in
an arbitrary triangle, 239--244.
31. Martina Stepanova, New Constructions of Triangle from
α, b-c, t_A, 245--250.
32. Robert Bosch, A new proof of Pitot theorem by AM-GM
inequality, 251--253.
33. John Donnelly, A model of continuous plane geometry
that is nowhere geodesic, 255--273.
34. John Donnelly, A model of nowhere geodesic plane
geometry in which the triangle inequality fails everywhere, 275--296.
35. Omid Ali Shahni
Karamzadeh, Is the mystery of
Morley's trisector theorem resolved ? 297--306.
36. Floor van Lamoen, A synthetic proof of the equality of
iterated Kiepert triangles K(φ,ψ) = K(ψ,φ), 307--308.
37. Şahlar Meherrem,
Gizem Günel Açıksöz, Serenay Şen, Zeynep Sezer, and
Güneş Başkes, Geometric
inequalities in pedal quadrilaterals, 309--320.
38. Paris Pamfilos, Self-pivoting convex quadrangles, 321--347.
39. Floor van Lamoen, Orthopoles and variable flanks,
349--351.
40. Nikolaos Dergiades and
Tran Quang Hung, Simple proofs of
Feuerbach's Theorem and Emelyanov's Theorem, 353--359.
41. Roger C. Alperin, Pedals of the Poncelet pencil and
Fontené points, 361--365.
42, Francisco Javier García
Capitán, Circumconics with
asymptotes making a given angle, 367--370.
43. Yong Zhang, Junyao Peng,
and Jiamin Wang, Integral
triangles and trapezoids pairs with a common area and a common perimeter,
371--380.
44. Giuseppina Anatriello,
Francesco Laudano, and Giovanni Vincenzi, Pairs of congruent-like
quadrilaterals that are not congruent, 381--400.
45. Gábor
Gévay, A remarkable theorem
on eight circles, 401--408.
46. Hiroshi Okumura, An analogue to Pappus chain theorem
with division by zero, 409--412.
47. Rogério
César dos Santos, Polygons
on the sides of an octagon, 413--418.
48. Stefan Liebscher and
Dierck E.-Liebscher, The love for
the three conics, 419--430.
49. Gerasimos T. Soldatos, A polynomial approach to the
``Bloom'' of Thymaridas and the Apollonius' circle, 431--433.