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trilinear

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The answer TRILINEAR has 1 possible clue(s) in existing crosswords.

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The word TRILINEAR is VALID in some board games. Check TRILINEAR in word games in Scrabble, Words With Friends, see scores, anagrams etc.

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Definitions of trilinear in various dictionaries:

Relating to, having, or bounded by three lines.

TRILINEAR - In geometry, the trilinear coordinates x:y:z of a point relative to a given triangle describe the relative directed distances from the three sideline...

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Possible Crossword Clues
Sound essay on area in ship being like some plane shapes

Last Seen in these Crosswords & Puzzles
Oct 16 2004 The Times - Cryptic

Trilinear description
In geometry, the trilinear coordinates x:y:z of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle. Trilinear coordinates are an example of homogeneous coordinates. The ratio x:y is the ratio of the perpendicular distances from the point to the sides (extended if necessary) opposite vertices A and B respectively; the ratio y:z is the ratio of the perpendicular distances from the point to the sidelines opposite vertices B and C respectively; and likewise for z:x and vertices C and A. * In the diagram at right, the trilinear coordinates of the indicated interior point are the actual distances (a' , b' , c' ), or equivalently in ratio form, ka' :kb' :kc' for any positive constant k. If a point is on a sideline of the reference triangle, its corresponding trilinear coordinate is 0. If an exterior point is on the opposite side of a sideline from the interior of the triangle, its trilinear coordinate associated with that sideline is negative. It is impossible for all three trilinear coordinates to be non-positive. * The name "trilinear coordinates" is sometimes abbreviated to "trilinears".

Trilinear description

In geometry, the trilinear coordinates x:y:z of a point relative to a given triangle describe the relative directed distances from the three sidelines of the triangle. Trilinear coordinates are an example of homogeneous coordinates. The ratio x:y is the ratio of the perpendicular distances from the point to the sides (extended if necessary) opposite vertices A and B respectively; the ratio y:z is the ratio of the perpendicular distances from the point to the sidelines opposite vertices B and C respectively; and likewise for z:x and vertices C and A.
* In the diagram at right, the trilinear coordinates of the indicated interior point are the actual distances (a' , b' , c' ), or equivalently in ratio form, ka' :kb' :kc' for any positive constant k. If a point is on a sideline of the reference triangle, its corresponding trilinear coordinate is 0. If an exterior point is on the opposite side of a sideline from the interior of the triangle, its trilinear coordinate associated with that sideline is negative. It is impossible for all three trilinear coordinates to be non-positive.
* The name "trilinear coordinates" is sometimes abbreviated to "trilinears".

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