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Difference between revisions of "Homogeneous coordinates"

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Coordinates having the property that the object determined by them does not change if all the coordinates are multiplied by the same non-zero number. Such, for example, are [[Projective coordinates|projective coordinates]]; [[Plücker coordinates|Plücker coordinates]] and [[Pentaspherical coordinates|pentaspherical coordinates]].
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Coordinates having the property that the object determined by them does not change if all the coordinates are multiplied by the same non-zero number. Such, for example, are [[projective coordinates]]; [[Plücker coordinates]] and [[pentaspherical coordinates]].
 
 
 
 
 
 
====Comments====
 
 
 
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> W.V.D. Hodge, D. Pedoe, "Methods of algebraic geometry" , '''1–3''' , Cambridge Univ. Press (1947–1954) {{MR|1288307}} {{MR|1288306}} {{MR|1288305}} {{MR|0061846}} {{MR|0048065}} {{MR|0028055}} {{ZBL|0796.14002}} {{ZBL|0796.14003}} {{ZBL|0796.14001}} {{ZBL|0157.27502}} {{ZBL|0157.27501}} {{ZBL|0055.38705}} {{ZBL|0048.14502}} </TD></TR></table>
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<table>
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<TR><TD valign="top">[a1]</TD> <TD valign="top"> W.V.D. Hodge, D. Pedoe, "Methods of algebraic geometry" , '''1–3''' , Cambridge Univ. Press (1947–1954) {{MR|1288307}} {{MR|1288306}} {{MR|1288305}} {{MR|0061846}} {{MR|0048065}} {{MR|0028055}} {{ZBL|0796.14002}} {{ZBL|0796.14003}} {{ZBL|0796.14001}} {{ZBL|0157.27502}} {{ZBL|0157.27501}} {{ZBL|0055.38705}} {{ZBL|0048.14502}} </TD></TR>
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Latest revision as of 13:12, 7 April 2023

Coordinates having the property that the object determined by them does not change if all the coordinates are multiplied by the same non-zero number. Such, for example, are projective coordinates; Plücker coordinates and pentaspherical coordinates.

References

[a1] W.V.D. Hodge, D. Pedoe, "Methods of algebraic geometry" , 1–3 , Cambridge Univ. Press (1947–1954) MR1288307 MR1288306 MR1288305 MR0061846 MR0048065 MR0028055 Zbl 0796.14002 Zbl 0796.14003 Zbl 0796.14001 Zbl 0157.27502 Zbl 0157.27501 Zbl 0055.38705 Zbl 0048.14502
How to Cite This Entry:
Homogeneous coordinates. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Homogeneous_coordinates&oldid=53610
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article