On a Geometrical Theorem in Exterior Algebra
Keyword(s):
The Real
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In this paper we shall give necessary and sufficient conditions for three lines, passing respectively through the vertices of a proper triangle PQR in the real Euclidean plane, to be concurrent. Of course, the theorem of Ceva deals with this problem, but it is useful to have a criterion which involves only vectors localized at a point O of the plane, and the exterior products of these vectors. Applications are made to theorems which are not easily proved by other methods.
2001 ◽
Vol 192
(4)
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pp. 565-576
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1986 ◽
Vol 01
(04)
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pp. 997-1007
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1980 ◽
Vol 29
(2)
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pp. 177-205
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1987 ◽
Vol 7
(2)
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pp. 155-160
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