Table X-P
Kosnita Products.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 5549 points version of 2013.
The "Discoverer" database version: October 2013.
Last update: 2013-12-10

      Kimberling Notation     Role  
  1     X(1) Incenter     Kosnita Product of the Incenter and the Circumcenter  
  2     X(2) Centroid     Kosnita Product of the Centroid and the Centroid (Homothetic Center)  
  3     X(2) Centroid     Kosnita Product of the Circumcenter and the Feuerbach Point (Homothetic Center)  
  4     X(3) Circumcenter     Kosnita Product of the de Longchamps Point and the Centroid (Homothetic Center)  
  5     X(4) Orthocenter     Kosnita Product of the de Longchamps Point and the de Longchamps Point  
  6     X(5) Nine-Point Center     Kosnita Product of the Orthocenter and the Centroid (Homothetic Center)  
  7     X(5) Nine-Point Center     Kosnita Product of the Orthocenter and the Circumcenter (Homothetic Center)  
  8     X(5) Nine-Point Center     Kosnita Product of the Orthocenter and the de Longchamps Point (Homothetic Center)  
  9     X(10) Spieker Center     Kosnita Product of the Nagel Point and the Centroid (Homothetic Center)  
  10     X(13) Outer Fermat Point     Kosnita Product of the Outer Fermat Point and the Incenter  
  11     X(13) Outer Fermat Point     Kosnita Product of the Outer Fermat Point and the First Isodynamic Point  
  12     X(17) Outer Napoleon Point     Kosnita Product of the Outer Fermat Point and the Circumcenter  
  13     X(17) Outer Napoleon Point     Kosnita Product of the Outer Napoleon Point and the Outer Napoleon Point  
  14     X(18) Inner Napoleon Point     Kosnita Product of the Inner Fermat Point and the Circumcenter  
  15     X(37) Grinberg Point     Kosnita Product of the Equal Parallelians Point and the Centroid (Homothetic Center)  
  16     X(53) Symmedian Point of the Orthic Triangle     Kosnita Product of the Orthocenter and the Symmedian Point  
  17     X(54) Kosnita Point     Kosnita Product of the Circumcenter and the Circumcenter  
  18     X(61)     Kosnita Product of the First Isodynamic Point and the Circumcenter  
  19     X(61)     Kosnita Product of the First Isodynamic Point and the Symmedian Point  
  20     X(61)     Kosnita Product of the First Isodynamic Point and the First Isodynamic Point  
  21     X(62)     Kosnita Product of the Second Isodynamic Point and the Circumcenter  
  22     X(62)     Kosnita Product of the Second Isodynamic Point and the Symmedian Point  
  23     X(140) Nine-Point Center of the Medial Triangle     Kosnita Product of the Circumcenter and the Centroid (Homothetic Center)  
  24     X(142) Mittenpunkt of the Medial Triangle     Kosnita Product of the Gergonne Point and the Centroid (Homothetic Center)  
  25     X(251)     Kosnita Product of the Symmedian Point and the Symmedian Point  
  26     X(481) Outer Oldknow Point     Kosnita Product of the Outer Soddy Point and the Incenter  
  27     X(481) Outer Oldknow Point     Kosnita Product of the Outer Soddy Point and the Gergonne Point  
  28     X(481) Outer Oldknow Point     Kosnita Product of the Outer Soddy Point and the de Longchamps Point  
  29     X(482) Inner Oldknow Point     Kosnita Product of the Inner Soddy Point and the Incenter  
  30     X(482) Inner Oldknow Point     Kosnita Product of the Inner Soddy Point and the Gergonne Point  
  31     X(482) Inner Oldknow Point     Kosnita Product of the Inner Soddy Point and the de Longchamps Point  
  32     X(482) Inner Oldknow Point     Kosnita Product of the Inner Soddy Point and the Inner Soddy Point  
  33     X(1125)     Kosnita Product of the Incenter and the Centroid (Homothetic Center)  
  34     X(1127) First de Villiers Point     Kosnita Product of the Incenter and the Incenter  
  35     X(1487)     Kosnita Product of the Nine-Point Center and the Nine-Point Center  
  36     X(3589)     Kosnita Product of the Symmedian Point and the Centroid (Homothetic Center)  
  37     X(3628)     Kosnita Product of the Nine-Point Center and the Centroid (Homothetic Center)  
  38     X(3634)     Kosnita Product of the Spieker Center and the Centroid (Homothetic Center)  
  39     X(4698)     Kosnita Product of the Grinberg Point and the Centroid (Homothetic Center)