
05916285
j
2011d.00616
Percy, Andrew
Arkinstall, John
Investigating the circle in general position.
Far East J. Math. Educ. 5, No. 2, 97105 (2010).
2010
Pushpa Publishing House, Allahabad, Uttar Pradesh, India
EN
G70
circle in general position
vector geometry
linear transformation
analytic geometry
http://pphmj.com/abstract/5383.htm
Summary: The circle is a familiar object which can be used to motivate and demonstrate many mathematical and geometrical techniques. For example, in this paper we use the undergraduate approaches of vector geometry and linear algebra to answer the question "What is the equation of a circle in general position in three dimensional space?" The familiarity of the circle provides a visual aide to help understand concepts of three dimensional geometry such as orthogonality, vector function and rotation of axis. The circle can lead us much further into such concepts as abstract coordinate systems and representations.