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Статии за компютърната програма "Откривател"

  1. Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Euler Anticevian Triangles, International Journal of Computer Discovered Mathematics, Vol. 2, 2017, pp. 1-29.
    Supplementary Material. Euler Anticevian triangles.
  2. Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Grebe Triangles,, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 4, pp. 14-23.
    Supplementary Material Grebe triangles.
  3. Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Haimov Triangle of the Incenter,, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 3, pp. 57-61.
  4. Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: Orthopoles, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 3, pp. 50-56.
  5. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Orthology Centers of the Euler Triangles, Mathematica and Informatics, vol.59, 2016, no 5, pp. 393-403.
  6. Sava Grozdev, Hiroshi Okumura and Deko Dekov, Computer Discovered Mathematics: A Note on the Miquel Points, pp.45-49.pdf, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 3, pp. 45-49.
  7. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Stanilov Triangles, pp.40-44.pdf, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 3, pp. 40-44.
    Supplementary material.
  8. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Fuhrmann Triangles, pp.48-58, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 48-58.
  9. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Harmonic Conjugates, pp.59-63, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 59-63.
    Supplementary Material: Harmonic Conjugates.zip
  10. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Inversion of Triangle ABC with respect to the Incircle, pp.64-74, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 64-74.
    Supplementary Material: Inversion of ABC wrt the Incircle.zip
  11. S. Grozdev and D. Dekov, Barycentric Coordinates: Formula Sheet, pp.75-82, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 75-82.
  12. S. Grozdev and D. Dekov, Computer Discovered Mathematics: A Note on the Johnson Circles, pp.90-95, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 90-95.
    Supplementary Material: Johnson Circles.zip
  13. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Yff Triangles, pp.96-103, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 96-103.
    Supplementary Material: Yff Triangles.zip
  14. S. Grozdev and D. Dekov, Computer Discovered Mathematics: A Note on the Gossard Triangles, pp.104-108, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 104-108.
    Supplementary Material: Gossard Triangle.zip
  15. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Half-Cevian Triangles, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 1-8.
    Supplementary Material: Half-Cevian-Triangles.zip.
  16. S. Grozdev and D. Dekov, Computer Discovered Mathematics: The Mittenpunkt, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 9-13.
  17. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Gibert Triangles, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 2, pp. 14-20.
    Supplementary Material: Gibert-Triangles.zip.
  18. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Dividing Directed Segments, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 1, pp. 80-88.
    Supplementary Material: division.zip.
  19. S. Grozdev and D. Dekov, Mathematics Discovered by Computers: Incenters of Triangles, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 1, pp. 89-92.
  20. S. Grozdev and D. Dekov, Computer Discovered Mathematics: Circles through the Feuerbach Point, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 1, pp. 93-96.
  21. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Euler Triangles, International Journal of Computer Discovered Mathematics, Vol. 1, 2016, No. 1, pp. 1-10.
    Enclosed File: Supplementary Material
  22. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Circles Containing the Parry Point, International Journal of Computer Discovered Mathematics, 2015, vol.1, no.1, pp.11-14.
  23. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Lester Circles, International Journal of Computer Discovered Mathematics, 2015, vol.1, no.1, pp.15-25.
  24. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: The Incenter, International Journal of Computer Discovered Mathematics, 2015, vol.1, no.1, pp.26-35.
  25. Sava Grozdev and Deko Dekov, Problem 123, MathProblems Mathematical Journal, 2015, vol. 1, no 1, p.370.
  26. Sava Grozdev and Deko Dekov, Problem. Five new remarkable circles orthogonal to the Stevanovic circle, International Journal of Computer Generated Mathematics, vol. 10, 2015, pp.1-4.
  27. Sava Grozdev and Deko Dekov, Computer-Discovered Mathematics: Pedal Corner Products, Mathematics and Informatics, vol.58, 2015, no.6, 609-615.
    Enclosed File: Supplementary Material
  28. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Antipedal Corner Products, Mathematics and Informatics, vol.58, 2015, no.5, 513-519.
    Enclosed File: Supplementary Material
  29. Sava Grozdev and Deko Dekov, Problem. The distance from the Incenter to the Euler Line as function of the sides of the triangle, The Pi Mu Epsilon Journal, Fall 2015. Problem 1310.
  30. Sava Grozdev and Deko Dekov, A Survey of Mathematics Discovered by Computes, International Journal of Computer Discovered Mathematics, Vol. 0, 2015, No. 0, pp. 3-20.
  31. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Haimov Triangles, International Journal of Computer Discovered Mathematics, Vol. 0, 2015, No. 0, pp. 70-79. Enclosed File: Supplementary Material
  32. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Hexyl-Anticevian Triangles, International Journal of Computer Discovered Mathematics, Vol. 0, 2015, No. 0, pp. 60-69.
  33. Sava Grozdev and Deko Dekov, Computer Discovered Mathematics: Cevian Corner Products, Mathematics and Informatics, 2015, vol.58, no.4, pp.426-436.
    Enclosed File: Supplementary Material
  34. Sava Grozdev and Deko Dekov, Computer-Discovered Mathematics: Anticevian Corner Products, MathProblems Mathematical Journal, 2014, vol. 4, no.4, p.358-361.
    Enclosed File: Supplementary Material
  35. Sava Grozdev and Deko Dekov, Problem 109. Solution to the problem, MathProblems Mathematical Journal, 2014, vol. 4, no.4, p.353-354.
  36. Sava Grozdev and Deko Dekov, The Simon and Newell prediction is realized by the "Discoverer", IJCGM, Vol.10, 2015, no 1.
  37. Sava Grozdev and Deko Dekov, Computer-Aided Education: Learning through Discovery, Web Technologies in Education Space, Collection of Research Articles of International Scientific and Practical Conference, 26-27 March 2015, N.Novgorod - Arzamas, Russia, 2015, pp.13-22.
    Enclosed File: Supplementary Material
  38. Sava Grozdev and Deko Dekov, Computer-Discovered Mathematics: Lalesco Products, Mathematics and Informatics, 2015, vol. 58, no.2, 143-148.
    Enclosed File: Lalesco.zip
  39. Sava Grozdev and Deko Dekov, Problem 109, MathProblems Mathematical Journal, 2014, vol. 4, no.3, p.303.
  40. Sava Grozdev and Deko Dekov, Problem 97, MathProblems Mathematical Journal, vol. 4, no 2. Solution to the Problem, IJCGM, Vol.10, 2015.
    Enclosed File: Supplementary Matherial.
  41. Sava Grozdev and Deko Dekov, The Computer improves the Steiner?s Construction of the Malfatti Circles, Mathematics and Informatics, 2015, vol. 58, no.1, 40-51.
  42. Sava Grozdev and Deko Dekov, Problem. Prasolov Anticevian Products, IJCGM, Vol.10, 2015.
    Enclosed File: p001_Solution.pdf
  43. Sava Grozdev and Deko Dekov, Problem. Prasolov Pedal Products, IJCGM, Vol.10, 2015.
    Enclosed File: p002_Solution.pdf
  44. Sava Grozdev and Deko Dekov, Problem. Prasolov Circumcevian Products, IJCGM, Vol.10, 2015.
    Enclosed File: p003_Solution.pdf
  45. Sava Grozdev and Deko Dekov, Supplementary Material to the Note by Grozdev and Dekov, published in Mathematical Gazette in November 2014, JCGM, 2014, no 6.
    DOI: http://dx.doi.org/10.1017/S0025557200008305
    Enclosed File: 2014-6.zip
  46. Sava Grozdev and Deko Dekov, Computer-generated mathematics: Points on the Kiepert hyperbola, The Mathematical Gazette, 2014, vol. 98, no. 543, 509-511.
  47. Sava Grozdev and Deko Dekov, Learning through discoveries: A new effective approach within learning through experimentation (Bulgarian), Mathematics and Informatics, 2014, vol. 57, no.6, 16-33.
    Enclosed File: 2014-6 discoveries.zip
  48. Sava Grozdev and Deko Dekov, Computer-generated mathematics: A note on the Haimov triangle (Bulgarian), Mathematics and Informatics, 2014, vol. 57, no.6, 7-15.
    Enclosed File: 2014-6 Haimov.zip
  49. Sava Grozdev and Deko Dekov, Machine approach to Euclidean Geometry: Euler Triangles, Euler Products and Euler Transforms (Bulgarian), Mathematics and Informatics, 2014, vol. 57, no.5, 519-528.
    Enclosed File: 2014-5 Euler.zip
  50. Sava Grozdev and Deko Dekov, Computer-generated mathematics: Kosnita products in Euclidean geometry (Bulgarian), Mathematics and Informatics, 2014, vol.57, no 4, 355-363.
    Enclosed File: 2014-4 Kosnita.zip
  51. Sava Grozdev and Deko Dekov, Computer-generated mathematics: Elaboration of a topic of Euclidean Geometry (Bulgarian), Mathematics and Informatics, 2014, vol. 57, no.1, 34-42.
    Enclosed File: 2014-1 topics.zip
  52. Sava Grozdev and Deko Dekov, Problem 94, MathProblems Mathematical Journal, 2014, vol. 4, no.1, p.232.
  53. Sava Grozdev and Deko Dekov, Problem 97, MathProblems Mathematical Journal, 2014, vol. 4, no.2, p.263-264.
  54. Sava Grozdev and Deko Dekov, Learning through Discoveries, JCGM, vol.9, 2014.
    Enclosed File: 2014-1.zip, 11 KB.
  55. Sava Grozdev and Deko Dekov, The Computer Program "Discoverer" and the Encyclopedia of Computer-Generated Mathematics (Bulgarian), JCGM, vol.9, 2014.
  56. Sava Grozdev and Deko Dekov, Investigation of circumconics by using the computer program "Discoverer" (Bulgarian), JCGM, vol.9, 2014.
    Enclosed File: 2014-3.zip, 10 KB.
  57. Sava Grozdev and Deko Dekov, A New Relation between the Steiner Circumellipse and the Kiepert Hyperbola, JCGM, vol.9, 2014.
  58. Sava Grozdev and Deko Dekov, The computer program "Discoverer" as a tool of mathematical investigation, JCGM, vol.9, 2014.
    Enclosed File: 2014-5.zip, 14 KB.
  59. Sava Grozdev and Deko Dekov, The Centroid of the Triangle of Reflections of the Kiepert Center in the Sidelines of Triangle ABC lies on the Lester circle, JCGM, vol.9, 2014.
  60. Sava Grozdev and Deko Dekov, The Euler Reflection Point of the Triangle of the Nine-Point Centers of the Triangulation Triangles of the Tarry Point lies on the Lester circle, JCGM, vol.9, 2014.
  61. Sava Grozdev and Deko Dekov, The Parry Reflection Point of the Triangle of the Orthocenters of the Triangulation Triangles of the Steiner Point lies on the Lester circle, JCGM, vol.9, 2014.
  62. Sava Grozdev and Deko Dekov, The Lester Circle is orthogonal to the Orthocentroidal Circle of the Outer Fermat Triangle of the Johnson Triangle, JCGM, vol.9, 2014.
  63. Sava Grozdev and Deko Dekov, The Lester Circle is orthogonal to the Orthocentroidal Circle of the Inner Fermat Triangle of the Johnson Triangle, JCGM, vol.9, 2014.
  64. Sava Grozdev and Deko Dekov, The Lester circle is orthogonal to the Orthocentroidal Circle of the Triangle of the Orthocenters of the Triangulation Triangles of the Tarry Point, JCGM, vol.9, 2014.
  65. Sava Grozdev and Deko Dekov, The Lester circle is orthogonal to the Orthocentroidal Circle of the Triangle of the Nine-Point Centers of the Anticevian Corner Triangles of the Centroid, JCGM, vol.9, 2014.
  66. Sava Grozdev and Deko Dekov, The Lester Circle is orthogonal to the Brocard Circle of the Fourth Brocard Triangle, JCGM, vol.9, 2014.
  67. Sava Grozdev and Deko Dekov, The Lester Circle is orthogonal to the Brocard Circle of the Second Brocard Triangle of the Fourth Brocard Triangle, JCGM, vol.9, 2014.
  68. Sava Grozdev and Deko Dekov, The Lester Circle is orthogonal to the Brocard Circle of the Triangle of Reflections of the Parry Reflection Point in the Sidelines of Triangle ABC, JCGM, vol.9, 2014.
  69. Sava Grozdev and Deko Dekov, Some applications of the computer program "Discoverer" (Bulgarian), Mathematics and Informatics, 2013, vol. 56, no.5, 444-455.
    Enclosed File: 2013-5 apps.zip
  70. Sava Grozdev and Deko Dekov, Towards the first computer-generated encyclopedia (Bulgarian), Mathematics and Informatics, 2013, vol. 56, no.1, 49-59.
  71. Sava Grozdev and Deko Dekov, Computer-Generated Mathematics: Stevanovic Products, JCGM, vol.8, 2013.
    Enclosed File: 2013-1.zip, 79 KB.
  72. Sava Grozdev and Deko Dekov, Points on the Kiepert Hyperbola, JCGM, vol.8, 2013.
    Enclosed File: 2013-2.zip, 53 KB.
  73. Sava Grozdev and Deko Dekov, Points on the Steiner Circumellipse, JCGM, vol.8, 2013.
    Enclosed File: 2013-3.zip, 57 KB.

Образователни статии
  1. Sava Grozdev and Deko Dekov, Graphical and numerical computer-aided solutions of equations and inequalities (Bulgarian), Mathematics and Informatics, 2013, vol. 56, no.6, 522-528.
  2. Sava Grozdev and Deko Dekov, Extremal problems in high school with computer tables (Bulgarian), Mathematics and Informatics, 2013, vol. 56, no.4, 351-367.
    Enclosed File: 2013-4 problems.zip
  3. Sava Grozdev and Deko Dekov, Mathematics with computer (Bulgarian), Mathematics and Informatics, 2013, vol. 56, no.2, 123-132.
    Enclosed File: 2013-2 answers.zip