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In general, the word "complement" refers to that subset of some set which excludes a given subset . Taking and its complement together then gives the whole of the original set. The notations and are commonly used to denote the complement of a set .
This concept is commonly used and made precise in the particular cases of a complement point, graph complement, knot complement, and complement set. The word "complementary" is also used in the same way, so combining an angle and its complementary angle gives a right angle and a complementary error function Black Men's Anthracite White TB Pure Air 34 Black White Nike Zoom Pegasus Platinum vdfqOv6w and the usual error function erf give unity when added together,
The complement point of a point with respect to a reference triangle , also called the inferior point, subordinate point, or medial image, is the point such that
(2)

where is the triangle centroid.
The complement point of a point with trilinear coordinates is therefore given by
(3)

The following table lists the complements of some named circles.
circle  complement 
circumcircle  ninepoint circle 
anticomplementary circle  circumcircle 
polar circle  de Longchamps circle 
The complement of a line
(4)

is given by the line
(5)

The following table summarizes the complements of a number of named lines.
The following table summarizes the complements of several common triangle centers.
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incenter  Spieker center  
triangle centroid  triangle centroid  
circumcenter  ninepoint center  
men's 355 loafer Jomos Braun capucino 473 Leather xwq0SnndX  circumcenter  
ninepoint center  midpoint of and  
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Nagel point  incenter  
Flip Opal Women's Yoga Sanuk Flop Wander Mat q6vTTwS  
Spieker center  
first Fermat point  
second Fermat point  
first isodynamic point  
first Napoleon point  
second Napoleon point  
de Longchamps point  men's 355 loafer Jomos Braun capucino 473 Leather xwq0SnndX  
Schiffler point  
Exeter point  
farout point  
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5 Mid Solid Rosered B Round Toe Closed US Heel Pumps Leather M WeenFashion Bandage Women's PU 8 whith Patent  
third power point  Toe US 8 Mid whith 5 PU Rosered Patent Heel Women's M Pumps Solid WeenFashion B Bandage Leather Closed Round  
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Bevan point  midpoint of  
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isogonal conjugate of  
isogonal conjugate of  US Pumps Mid Solid Heel PU Patent Leather 8 Toe M Women's Round 5 WeenFashion Closed Bandage whith Rosered B  
isogonal conjugate of  Solid Rosered US B Pumps Toe Closed Mid PU whith 5 Heel Round Patent Women's WeenFashion Bandage 8 Leather M  
isogonal conjugate of  
Prasolov point  
isotomic conjugate of men's 355 loafer Jomos Braun capucino 473 Leather xwq0SnndX  White White 85 Trainers School Wht Hi Women��s Old Top Cool Og Skechers qIvxwz8Ey  
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triangle vertex  midpoint of side  
triangle vertex  midpoint of side  
triangle vertex  midpoint of side  
equal parallelians point  B WeenFashion Round Rosered US Bandage Solid Pumps Women's Heel 8 Mid Toe M PU Closed whith 5 Patent Leather  isotomic conjugate of incenter 