### Several observations about Maneeals - a peculiar system of lines

#### Abstract

*ABC*and an integer

*n*we define points

*D*,

_{n}*E*,

_{n}*F*on the sides

_{n}*BC*,

*CA*,

*AB*respectively, in such a manner that

|*AC*|^{n}/|*AB*|^{n} =|*CD _{n}*|/|

*BD*|, |

_{n}*AB*|

^{n}/|

*BC*|

^{n}= |

*AE*|/|

_{n}*CE*|, |

_{n}*BC*|

^{n}/|

*AC*|

^{n}=|

*BF*|/|

_{n}*AF*|.

_{n}*AD*,

_{n}*BE*,

_{n}*CF*are said to be the Maneeals of order

_{n}*n*. In this paper we discuss some properties of the Maneeals and related objects.

#### Keywords

#### Mathematics Subject Classification (2010)

#### References

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