Pascal's theorem

American  

noun

Geometry.

1. the theorem that the lines joining adjacent vertices of a hexagon intersect the same straight line if alternate vertices lie on two intersecting straight lines.

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Etymology

Origin of Pascal's theorem

Named after Pascal

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Example Sentences

See Examples For:

Pascal's theorem

The applications of this theorem are very numerous; for instance, we derive from it Pascal’s theorem of the inscribed hexagon.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various

This acknowledgment led Descartes to believe that Pascal's theorem should also be credited to Desargues.

From An Elementary Course in Synthetic Projective Geometry by Derrick Norman Lehmer

Pascal's theorem furnishes an elegant solution of the problem of drawing a conic through five given points.

From An Elementary Course in Synthetic Projective Geometry by Derrick Norman Lehmer

Pascal's theorem thus affords a ready method of drawing the tangent line to a conic at a given point.

From An Elementary Course in Synthetic Projective Geometry by Derrick Norman Lehmer

If five points be given, Pascal’s theorem affords a solution; if five tangents, Brianchon’s theorem is employed.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 3 "Electrostatics" to "Engis" by Various

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