Araştırma Makalesi
BibTex RIS Kaynak Göster

Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation

Yıl 2017, Cilt: 10 Sayı: 1, 58 - 80, 30.04.2017

Thomas L. Toulias George E. Lefkaditis

https://doi.org/10.36890/iejg.584443

Öz

Anahtar Kelimeler

Pohlke’s Theorem conjugate semi–diameters of an ellipse affine transformations orthogonal decomposition of a symmetric matrix

Kaynakça

  • [1] Emch, A., Proof of Pohlke’s theorem and its generalizations by affinity. American Journal of Mathematics 40(2) (1918), 366-374.
  • [2] Fishburn, P.C. and Trotter, W.T., Containment orders for similar ellipses with a common center. Discrete Mathematics 256 (2002), 129–136.
  • [3] Lefkaditis, G.E., Thomas, T.L. and Markatis, S., The four ellipses problem. International Journal of Geometry 5(2) (2016), 77–92.
  • [4] Müller, E. and Kruppa, E., Lehrbuch der Darstellenden Geometrie. Springer–Verlag, Wien, 1961.
  • [5] Peschka, G. A., Elementarer beweis des Pohlke’schen fundamentalsatzes der Axonometrie. Stzgsb. Math. Nat., Akad. Wien LXXVIII II Abth. (1879), 1043-1054.
  • [6] Sklenáriková, Z. and Pémová, M., The Pohlke-Schwarz theorem and its relevancy in the didactics of mathematics. Quaderni di Ricerca in Didattica. http://math.unipa.it/~grim/quad17_sklenarikova-pemova_07.pdf 7).

Yıl 2017, Cilt: 10 Sayı: 1, 58 - 80, 30.04.2017

Thomas L. Toulias George E. Lefkaditis

https://doi.org/10.36890/iejg.584443

Öz

Kaynakça

  • [1] Emch, A., Proof of Pohlke’s theorem and its generalizations by affinity. American Journal of Mathematics 40(2) (1918), 366-374.
  • [2] Fishburn, P.C. and Trotter, W.T., Containment orders for similar ellipses with a common center. Discrete Mathematics 256 (2002), 129–136.
  • [3] Lefkaditis, G.E., Thomas, T.L. and Markatis, S., The four ellipses problem. International Journal of Geometry 5(2) (2016), 77–92.
  • [4] Müller, E. and Kruppa, E., Lehrbuch der Darstellenden Geometrie. Springer–Verlag, Wien, 1961.
  • [5] Peschka, G. A., Elementarer beweis des Pohlke’schen fundamentalsatzes der Axonometrie. Stzgsb. Math. Nat., Akad. Wien LXXVIII II Abth. (1879), 1043-1054.
  • [6] Sklenáriková, Z. and Pémová, M., The Pohlke-Schwarz theorem and its relevancy in the didactics of mathematics. Quaderni di Ricerca in Didattica. http://math.unipa.it/~grim/quad17_sklenarikova-pemova_07.pdf 7).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Thomas L. Toulias

George E. Lefkaditis

Yayımlanma Tarihi 30 Nisan 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 10 Sayı: 1

Kaynak Göster

APA Toulias, T. L., & Lefkaditis, G. E. (2017). Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation. International Electronic Journal of Geometry, 10(1), 58-80. https://doi.org/10.36890/iejg.584443
AMA Toulias TL, Lefkaditis GE. Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation. Int. Electron. J. Geom. Nisan 2017;10(1):58-80. doi:10.36890/iejg.584443
Chicago Toulias, Thomas L., ve George E. Lefkaditis. “Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation”. International Electronic Journal of Geometry 10, sy. 1 (Nisan 2017): 58-80. https://doi.org/10.36890/iejg.584443.
EndNote Toulias TL, Lefkaditis GE (01 Nisan 2017) Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation. International Electronic Journal of Geometry 10 1 58–80.
IEEE T. L. Toulias ve G. E. Lefkaditis, “Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation”, Int. Electron. J. Geom., c. 10, sy. 1, ss. 58–80, 2017, doi: 10.36890/iejg.584443.
ISNAD Toulias, Thomas L. - Lefkaditis, George E. “Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation”. International Electronic Journal of Geometry 10/1 (Nisan 2017), 58-80. https://doi.org/10.36890/iejg.584443.
JAMA Toulias TL, Lefkaditis GE. Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation. Int. Electron. J. Geom. 2017;10:58–80.
MLA Toulias, Thomas L. ve George E. Lefkaditis. “Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation”. International Electronic Journal of Geometry, c. 10, sy. 1, 2017, ss. 58-80, doi:10.36890/iejg.584443.
Vancouver Toulias TL, Lefkaditis GE. Parallel Projected Sphere on a Plane: A New Plane–Geometric Investigation. Int. Electron. J. Geom. 2017;10(1):58-80.