@MISC{EUCLID_4.MIZ,
  AUTHOR = {Kubo, Akihiro},
  TITLE = {Lines in $n$-Dimensional {E}uclidean Spaces},
  DAY = {08},
  MONTH = {August},
  YEAR = {2003},
  ADDRESS1 = {Shinshu University\\Nagano},
  SUMMARY = {In this paper, we define the line of $n$-dimensional 
  Euclidian space and we introduce basic properties 
  of affine space on this space. Next, we define the inner 
  product of elements of this space. At the end, 
  we introduce orthogonality of lines of this space.}}

