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Publications of Assist. Prof. Margarita Spirova, Ph. D.


  1. H. Martini, M. Spirova: Chordal orthogonality in Minkowski planes, 15 pp., submitted.
  2. M. Spirova: Circle geometry in strictly convex Minkowski planes, 12 pp., submitted.
  3. M. Spirova, Y. Tsankov: Non-Euclidean geometry in school? 10 pp.,  submitted.
  4. H. Martini, M. Spirova: Reflections in strictly convex Minkowski planes,  Aequationes Math., 15 pp., to appear.
  5. M. Hajja, H. Martini, M. Spirova:   New extension of Napoleon's theorem to higher dimensions,  Beitr. Algebra Geom.  49 (2008), 15 pp., to appear.
  6. H. Martini, M. Spirova:  Clifford's chain of theorems in strictly convex Minkowski planes, Publ. Math. Debrecen 72 (2008), to appear.
  7. M.  Spirova: Propellers  in  affine Cayley-Klein  planes,  J. Geom.,  to appear.
  8. M. Hajja, M. Spirova:   A new line associated with the triangle, Elem. Math. 63 (2008) , 8 pp., to appear.
  9. H. Martini, M. Spirova:   The Feuerbach circle and orthocentrity in normed planes, Enseign. Math. 53 (2007), 22 pp.,  to appear. 
  10. M. Spirova: Reconstruction of 3D objects using perspective,  Multisensor Signal, Image and Data Processing, Proc. of the  Workshop in the frame of 3rd Balkan Conference in Informatics,  Sofia, Bulgaria,  September 27-29, 2007, 69-76.
  11. H. Martini, M.  Spirova: Recent results in Minkowski geometry, Collection of Presented Papers, ICMA-MU 2007, Int. Conf. in Math. and Appl., Bangkok, Thailand, August 15-17, 2007, 45-83.
  12. M.  Spirova: On the Napoleon-Torricceli configuration in affine Cayley-Klein planes,    Math. Sem. Univ. Hamburg   76 (2006), 131-142. MR 2293438
  13. M. Hajja, H. Martini, M. Spirova:   On converses of Napoleon's theorem and a modified shape function, Beitr. Algebra Geom. 47 (2006), no. 2, 363-383. MR 2307909
  14. H. Martini, M. Spirova:  On Napoleon's theorem in the isotropic plane,  Periodica Math. Hungar.  53  (2006), 109-208. MR 2286471
  15. A.  Borisov, M.  Spirova:  Crofton formulas relating sets of pairs of intersecting non-isotropic    straight    lines     in the simply isotropic space, Tensor 67  (2006), no. 3, 243-252.
  16. M.  Spirova: Miquel triangles in the isotropic plane,  Tensor  67 (2006), no. 3, 235-242.
  17. M. Spirova: On Brocard points in the isotropic plane, Beitr. Algebra Geom. 47 (2006),  no. 1, 167-174.  MR 2246532
  18. H. Martini, M. Spirova: On similar triangles in the isotropic plane, Rev. Roumaine Math. Pures Appl. 51 (2006), no. 1, 57-64.  MR 2275318.
  19. M. G. Spirova, A. V. Borisov: Measurability of sets of pairs of parallel non-isotropic straight lines of the second type in the simply isotropic space, Math. and Educ. in Math., Proc. XXXV Spring Conference of the UBM, Borovets, April 5-8, 2006, 209-213.
  20. A. V. Borisov, M. G. Spirova: Measurability of sets of pairs of parallel non-isotropic straight lines of the first type in the simply isotropic space, Math. and Educ. in Math., Proc. XXXV Spring Conference of the UBM, Borovets, April 5-8, 2006, 146-151.
  21. M. Hajja, M. Spirova: A characterization of the centroid using June Lester’s shape function, Forum Geom. 6 (2006), 53-55.  
  22. M. Spirova, A. Borisov: On the measurability of sets of pairs of straight lines in the simply isotropic space,  PDEs,  Submanifolds and affine differential geometry, Banach Center Publ. 69, Polish Acad. Sci., Warsaw, 2005, 234-256.   MR 2189571. 
  23. M. G. Spirova, A. V. Borisov: Measurability of sets of pairs of spheres and lines in the simply isotropic space, Math. and Educ. in Math., Proc. XXXIV Spring Conference of the UBM, Borovets, April 6-9, 2005, 140-144.
  24. A. V. Borisov, M. G. Spirova: Some integral geometric results on sets of circles in the simply isotropic space, Math. and Educ. in Math., Proc. XXXIV Spring Conference of the UBM, Borovets, April 6-9, 2005, 96-101.
  25. A. V. Borisov, M. G. Spirova: Measurability of Sets of Pairs of Skew Nonisotropic Straight Lines in the Simply Isotropic Space II. Mathematica Balkanica, 18 (2004), Facs.1- 2, 105-113.
    MR 2005 g: 53137.
  26. A. V. Borisov, M. G. Spirova: Measurability of Sets of Pairs of Skew Nonisotropic Straight Lines in the Simply Isotropic Space I. Mathematica Balkanica, 18 (2004), Facs.1-2, 95-103.
    MR 2005 g: 53136
  27. M. G. Spirova, A. V. Borisov: Measurability of sets of pairs of intersecting nonisotropic and isotropic straight lines in the simply isotropic space. Math. and Educ. in Math., Proc. XXXIII Spr. Conf. UBM, Borovets, April 1-4, 2004, 171-175.
    MR 2081982.
  28. A. V. Borisov, M. G. Spirova: Measurability of sets of pairs of skew nonisotropic and isotropic straight lines in the simply isotropic space. Math. and Educ. in Math., Proc. XXXIII Spr. Conf. UBM, Borovets, April 1-4, 2004, 108-113.
    MR 2081571.
  29. A. V. Borisov, M. G. Spirova: Measurability of Sets of Pairs of Planes in the Simply Isotropic Space. Mathematica Balkanica, New Series, 17 (2003), no. 3-4, 291-305.
    MR 2005 a: 53128.
  30. A. Borisov, M. Spirova: Some integral geometric results in the simply isotropic space. J. Geom., 77 (2003), 8-21.
    MR 2004 h: 53104.
  31. A. V. Borisov, M. G. Spirova: Measurability of sets of pairs of points in the simply isotropic space. Math. and Educ. in Math., Proc. XXXII Spr. Conf. UBM, Sunny Beach, April 5-8, 2003, 144-149.
    MR 2006141.
  32. A. V. Borisov, M. G. Spirova: Some similar triangles associated with a pure triangle in the Galilean plane. Math. and Educ. in Math., Proc. XXXII Spr. Conf. UBM, Sunny Beach, April 5-8, 2003, 138-143.
    MR 2004 h: 51018.
  33. G. Georgiev, R. Encheva, M. Spirova: Studying special quadrangles by shapes. Annual of Konstantin Preslavski University, Shumen, Fac. of Math. and Inf., Vol. XVC, 2002, 5-25.
  34. A. V. Borisov, M. G. Spirova: On the measurability of sets of spheres in the simply isotropic space. Math. and Educ. in Math., Proc. XXXI Spr. Conf. UBM, Borovets, April 3-6, 2002, 83-87.
  35. G. Georgiev, R. Encheva, M. Spirova: Shapes of inscribed and circumscribed quadrangles. Math. and Ed. in Math., 2001, Proc. of the XXX Spr. Conf. of the UBM, Borovets, April 8-11, 2001, 129-134.
  36. G. Georgiev, R. Encheva, M. Spirova: Studying special triangles by shapes. Юбилейна научна сесия - 30 год. ФМИ, ПУ ”П. Хилендарски”, Пловдив, 3-4.11.2000, 312-319.
    Zbl. 1015.51008.
  37. Georgiev, R. Encheva, M. Spirova: Special triangles and complex triangle coordinates. Math. and Ed. in Math., 1999, Proc. of the XXVIII Spr. Conf. of the UBM, Montana, April 5-8, 1999, 225-230.
  38. М. Спирова: Класификация на почти ермитови многообразия по отношения на тензора на торзията на ермитова свързаност. Math. and Ed. in Math., 1994, Proc. of the XXIII Spring Conf. of the UBM, Stara Zagora, April 1-4, 1994, 214-221.
  39. М. Спирова: Класификация на почти ермитови многообразия, Доклади на научната сесия на ВИИСУ'92, 26-27 IX, книга 1, 1992, 105-109 .

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