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2007•Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematicsOpen access

Weighted Points and Lines in Projective Plane of order 17

Ban Abdulkareem Qassim, Makbola. Mohamed

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Abstract

In the current research ,the points and lines of the projective plane of the seventeenth (17th)order were constructed ,this was followed by examining the arcs designated (k,n;f)- in the plane type (m,n).As a result, it is concluded that these arcs do exist having all their points of the order one or two ,but the order of their lines are m or n only .A further result was arriving at proving the theorems being concluded. The research also included a study of Monoidal arcs with some given examples.

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In the current research ,the points and lines of the projective plane of the seventeenth (17th)order were constructed ,this was followed by examining the arcs designated (k,n;f)- in the plane type (m,n).As a result, it is concluded that these arcs do exist having all their points of the order one or two ,but the order of their lines are m or n only .A further result was arriving at proving the theorems being concluded. The research also included a study of Monoidal arcs with some given examples.

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Available abstract

In the current research ,the points and lines of the projective plane of the seventeenth (17th)order were constructed ,this was followed by examining the arcs designated (k,n;f)- in the plane type (m,n).As a result, it is concluded that these arcs do exist having all their points of the order one or two ,but the order of their lines are m or n only .A further result was arriving at proving the theorems being concluded. The research also included a study of Monoidal arcs with some given examples.

Key concepts: Projective plane, Plane (geometry), Order (exchange), Mathematics, Real projective plane, Projective test, Blocking set, Type (biology)

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