Given a simplex and point, find the cevians
Contributed by:
Ed Pegg Jr
Examples
Basic Examples (2)
Find the generated cevians for a given triangle and point:
Show the cevians:
Verify Ceva's Theorem:
Find the generated cevians for a given tetrahedron and point:
Show the cevians:
Verify Ceva's Theorem:
Possible Issues (2)
The cevians might not be on the line segments of the original triangle:
Symbolic variables currently do not work for a tetrahedron:
Neat Examples (2)
Calculate the Gergonne point and find the cevians:
Show the cevians and the incircle:
Compute some values for a tetrahedron:
Opposite edges of the tetrahedron have the same square sum, making it orthocentric:
The cevians of the Monge point are the altitudes of the tetrahedron:
Requirements
Wolfram Language 13.0
(December 2021) or above
Version History
-
1.1.0
– 20 November 2023
-
1.0.0
– 25 October 2023
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