Editing Origin (mathematics) (section)

==Cartesian coordinates==
In a [[Cartesian coordinate system]], the origin is the point where the [[Coordinate axis|axes]] of the system intersect.<ref name="madsen">{{citation|title=Engineering Drawing and Design|series=Delmar drafting series|first=David A.|last=Madsen|publisher=Thompson Learning|year=2001|isbn=9780766816343|page=120|url=https://books.google.com/books?id=N97zPAvogxoC&pg=PA120}}.</ref> The origin divides each of these axes into two halves, a positive and a negative semiaxis.<ref>{{citation|title=Learning higher mathematics|series=Springer series in Soviet mathematics|first=Lev S.|last=Pontrjagin|author-link=Lev Pontryagin|publisher=Springer-Verlag|year=1984|isbn=9783540123514|page=73}}.</ref> Points can then be located with reference to the origin by giving their numerical [[coordinates]]—that is, the positions of their projections along each axis, either in the positive or negative direction. The coordinates of the origin are always all zero, for example (0,0) in two dimensions and (0,0,0) in three.<ref name="madsen"/>