International Journal of Computer Discovered Mathematics
Published by the VUZF University of Finance, Business and Entrepreneurship, Sofia, Bulgaria
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The first journal devoted to mathematics discovered by computers
ISSN 2367-7775

Editors-in-Chief:
Sava Grozdev, Professor, DSc,
VUZF University of Finance, Business and Entrepreneurship, Sofia, Bulgaria
e-mail: sava.grozdev@gmail.com
Hiroshi Okumura, Professor, Ph.D.
Maebashi Gunma, 371-0123, Japan
e-mail: okmr@protonmail.com
Deko Dekov, Assoc. Professor, PhD,
Zahari Knjazheski 81, 6000 Stara Zagora, Bulgaria
e-mail: ddekov@ddekov.eu


Volume 2 (2017)
Contents:

Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Euler Anticevian Triangles, pp.1-29.
Supplementary Material. Euler Anticevian Triangles.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, A Note on the Leversha Point, pp.30-34.
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Incentral Triangle, pp.35-45.
Supplementary Material. Incentral triangle.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Triangles homothetic with the Orthic triangle, pp.46-54.
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Half-Anticevian Triangle of the Incenter, pp.55-71.
Supplementary Material - Half-Anticevian Triangle of the Incenter.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Excenters-Incenter Reflections Triangle, pp.72-80.
Supplementary Material - Excenters-Incenter Reflections Triangle
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Problems about Points on the Euler line, pp.81-85.
Supplementary Material - Points on the Euler line
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Triangles Homothetic with Triangle ABC, pp.86-89
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Triangles Homothetic with Triangle ABC. Part 2, pp.90-96
Supplementary Material - HT2.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Triangles Homothetic with Triangle ABC. Part 3, pp.97-105.
Supplementary Material - HT3.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Triangles Associated with Triangulation Triangles, pp.106-110.
Supplementary Material - Triangulation Triangles.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Leversha Triangles and Leversha Points, pp.111-116.
Supplementary Material - Leversha Points.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Notable Circles, pp.117-134.
Supplementary Material - Notable Circles.zip
Nguyen Ngoc Giang, Some properties of triangles or rectangles attached to sides of a triangle, pp.135-140.
Nguyen Trung Kien, An Iterative Geometrical Approach for a Problem in the International Mathematical Olympiad 2017, pp.141-145.
Nguyen Ngoc Giang, Flanks, new flanks, generalized flanks and their properties, pp.146-184.
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Problems for Students about Excentral Triangle, pp.185-200.
Supplementary material - Excentral triangle


Volume 0 Number 0 (2015):
Contents:

Welcome!, p.1.
Advertisements, p.2.
S. Grozdev and D. Dekov, A Survey of Mathematics Discovered by Computers, pp.3-20.
Paul Yiu, Iterations of sum of powers of digits, pp.21-26.
Paul Yiu, Collinearity of the reflections of the intercepts of a line in the angle bisectors of a triangle pp.27-31.
Francisco Javier García Capitán, Barycentric Coordinates, pp.32-48.
A. G. Koryanov, The computer program "Inverse Matrices", pp.49-53.
Stefka Karakoleva, Make your first steps in the high-quality typesetting system LaTeX, pp.54-59.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Hexyl-Anticevian Triangles, pp.60-69.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Haimov Triangles, pp.70-79.
Supplementary Material: Haimov_Points.zip


Volume 1 Number 1 (March 2016):
Contents:

S. Grozdev and D. Dekov, Computer Discovered Mathematics: Euler Triangles, pp.1-10.
Supplementary Material: Euler_Triangles.zip
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Circles Containing the Parry Point, pp.11-14.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Lester Circles, pp.15-25.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: The Incenter, pp.26-35.
Francisco Javier García Capitán, Posing and Solving Problems with Barycentric Coordinates, pp.36-44.
René Grothmann, The Geometry Program C.a.R., pp.45-61.
Supplementary Material: Grothmann-CaR.zip
René Grothmann, Discover Euler Math Toolbox, pp.62-75.
Dao Thanh Oai, A generalization of the Zeeman-Gossard perspector theorem, pp.76-79.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Dividing Directed Segments, pp.80-88.
Supplementary Material: division.zip
S. Grozdev and D. Dekov, Mathematics Discovered by Computers: Incenters of Triangles, pp.89-92.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Circles through the Feuerbach Point, pp.93-96.


Volume 1 Number 2 (June 2016):
Contents:

S. Grozdev and D. Dekov, Computer Discovered Mathematics: Half-Cevian Triangles, pp.1-8.
Supplementary Material: Half-Cevian-Triangles.zip
S. Grozdev and D. Dekov, Computer Discovered Mathematics: The Mittenpunkt, pp.9-13
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Gibert Triangles, pp.14-20.
Supplementary Material: Gibert-Triangles.zip
Dao Thanh Oai, The Nine Circles Problem and the Sixteen Points Circle, pp.21-24.
Ngo Quang Duong, Generalizations of some triangle geometry results associated with cubics, pp.25-39.
Ngo Quang Duong, Some problems around the Dao's theorem on six circumcenters associated with a cyclic hexagon configuration, pp.40-47.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Fuhrmann Triangles, pp.48-58.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Harmonic Conjugates, pp.59-63.
Supplementary Material: Harmonic Conjugates.zip
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Inversion of Triangle ABC with respect to the Incircle, pp.64-74.
Supplementary Material: Inversion of ABC wrt the Incircle.zip
S. Grozdev and D. Dekov, Barycentric Coordinates: Formula Sheet, pp.75-82.
Mamut Sirazitdinov, Proofs of computer discovered theorems about Yiu Transform, pp.83-89.
S. Grozdev and D. Dekov, Computer Discovered Mathematics: A Note on the Johnson Circles, pp.90-95.
Supplementary Material: Johnson Circles.zip
S. Grozdev and D. Dekov, Computer Discovered Mathematics: Yff Triangles, pp.96-103.
Supplementary Material: Yff Triangles.zip
S. Grozdev and D. Dekov, Computer Discovered Mathematics: A Note on the Gossard Triangles, pp.104-108.
Supplementary Material: Gossard Triangle.zip


Volume 1 Number 3 (September 2016)
Contents:

Frank M. Jackson and Stalislav Takhaev, Heronian Triangles of Class J: Congruent Incircles Cevian Perspective, pp.1-8.
Nguyen Trung Kien and Tran Thu Le, Problem of Twelve Circles, pp.9-12.
Dao Thanh Oai, Generalizations of some famous classical Euclidean geometry theorems, pp.12-20.
Nguyen Ngoc Giang, The extension from a circle to a conic having center: The creative method of new theorems, pp.21-32.
Dao Thanh Oai, A Generalization of Sawayama and Th├ębault's Theorem, pp.33-35.
Dao Thanh Oai, Another Generalization of the Sawayama and Th├ębault's Theorem, pp.36-39.
Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Stanilov Triangles, pp.40-44.
Supplementary Material: Stanilov Triangles.zip
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: A Note on the Miquel Points, pp.45-49.
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Orthopoles, pp.50-56
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Haimov Triangle of the Incenter, pp.57-61


Volume 1 Number 4 (December 2016)
Contents:

Alexander Skutin, Ways of Predicting Mathematics, pp.1-9.
Alexander Skutin, Deformation of point on circle, pp.10-13.
Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Grebe Triangles, pp.14-23.
Supplementary Material Grebe triangles.zip.