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harmonic conjugates

American  

plural noun

Mathematics.
  1. two points whose cross ratio with two specified points equals −1.


Etymology

Origin of harmonic conjugates

First recorded in 1880–85

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

If A and C are harmonic conjugates with respect to B and D, then B and D are harmonic conjugates with respect to A and C.

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

Also, conjugate diameters are harmonic conjugates with respect to the asymptotes.

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

Corresponding rays of the involution are harmonic conjugates with respect to the double rays.

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

In an hyperbolic involution any two conjugate points are harmonic conjugates with regard to the two foci.

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

They will therefore cut the principal axis in two points, which are conjugate in the involution considered in � 84; hence they are harmonic conjugates with regard to the foci.

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