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Object Projection from  to  in Bachelor’s Degree with GeoGebra

  • Judith K. Jiménez-Vilcherrez,
  • Robert Ipanaqué-Chero,
  • Ricardo Velezmoro-León,
  • Marcela F. Velásquez-Fernández,
  • Rolando E. Ipanaqué-Silva,
  • César Silva-More

摘要

Projecting objects from to is a subject deeply studied since the dawn of civilization; so much so, that all software that includes graphing tools show flat objects (on a flat screen) as if they were in three-dimensional space. Currently, there are various studies regarding the projection of objects from to and their visualization. This paper describes various Dynamic Worksheets developed in the dynamic mathematics software GeoGebra that visualize the projection of the unit hypersphere and the unit “complex circumference” from to , having as reference Pohlke-Schwarz theorem and some concepts of linear algebra. These Dynamic Worksheets will be delivered to the students of the Differential Geometry course of the Mathematics Program at the Universidad Nacional de Piura. Some of the examples to be developed in the classroom are shown and described.