Table P-X
External Division.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 8998 points version of 2015.
The "Discoverer" database version: October 2013.
Last update: 2016-01-01

      Role     Kimberling Notation  
  1     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(3) Circumcenter in the Ratio of 3:1     X(3579)    
  2     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(6) Symmedian Point in the Ratio of 3:1     X(4663)    
  3     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 3:1     X(3625)    
  4     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 3:1     X(8703)    
  5     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 3:1     X(3830)    
  6     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 3:1     X(5066)    
  7     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 3:1     X(8584)    
  8     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 3:1     X(4677)    
  9     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 3:1     X(3627)    
  10     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 3:1     X(546)    
  11     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 3:1     X(576)    
  12     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(1) Incenter in the Ratio of 3:1     X(5882)    
  13     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 3:1     X(550)    
  14     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 3:1     X(140)   Nine-Point Center of the Medial Triangle  
  15     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(6) Symmedian Point in the Ratio of 3:1     X(8550)    
  16     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 3:1     X(548)    
  17     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 3:1     X(3853)    
  18     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(3) Circumcenter in the Ratio of 3:1     X(3098)    
  19     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 3:1     X(3244)    
  20     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 3:2     X(3621)    
  21     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 3:2     X(2487)    
  22     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 3:2     X(3534)    
  23     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 3:2     X(3845)    
  24     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(1) Incenter in the Ratio of 3:2     X(7982)    
  25     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 3:2     X(3146)    
  26     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 3:2     X(3627)    
  27     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 3:2     X(1657)    
  28     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 3:2     X(550)    
  29     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 3:2     X(20)   de Longchamps Point  
  30     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 3:2     X(382)    
  31     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 3:2     X(3633)    
  32     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(3) Circumcenter in the Ratio of 4:1     X(165)   Centroid of the Excentral Triangle  
  33     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(5587)    
  34     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 4:1     X(4677)    
  35     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 4:1     X(3545)    
  36     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 4:1     X(5032)    
  37     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 4:1     X(5055)    
  38     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 4:1     X(3830)    
  39     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(381)   Center of the Orthocentroidal Circle  
  40     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 4:1     X(5093)    
  41     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(1) Incenter in the Ratio of 4:1     X(7967)    
  42     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 4:1     X(3524)    
  43     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 4:1     X(376)    
  44     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(2)   Centroid  
  45     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 4:1     X(8703)    
  46     Point Dividing Externally the Directed Segment from X(7) Gergonne Point to the X(1) Incenter in the Ratio of 4:1     X(8236)    
  47     Point Dividing Externally the Directed Segment from X(7) Gergonne Point to the X(5) Nine-Point Center in the Ratio of 4:1     X(5817)    
  48     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 4:1     X(3241)    
  49     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(3) Circumcenter in the Ratio of 4:1     X(5731)    
  50     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(5) Nine-Point Center in the Ratio of 4:1     X(5603)    
  51     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 4:3     X(4677)    
  52     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(3) Circumcenter in the Ratio of 4:3     X(7991)    
  53     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 4:3     X(5881)    
  54     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 4:3     X(4885)    
  55     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 4:3     X(145)   Nagel Point of the Anticomplementary Triangle  
  56     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 4:3     X(20)   de Longchamps Point  
  57     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 4:3     X(3146)    
  58     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 4:3     X(4)   Orthocenter  
  59     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 4:3     X(193)    
  60     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 4:3     X(3621)    
  61     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(1) Incenter in the Ratio of 4:3     X(8148)    
  62     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 4:3     X(3830)    
  63     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 4:3     X(5073)    
  64     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 4:3     X(382)    
  65     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 4:3     X(3529)    
  66     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 4:3     X(20)   de Longchamps Point  
  67     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 4:3     X(8703)    
  68     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 5:1     X(3828)    
  69     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 5:1     X(4701)    
  70     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 5:1     X(547)    
  71     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:1     X(3853)    
  72     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 5:1     X(3850)    
  73     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 5:1     X(5097)    
  74     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 5:1     X(549)    
  75     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:1     X(548)    
  76     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:1     X(3628)    
  77     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 5:1     X(3635)    
  78     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 5:1     X(551)    
  79     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 5:2     X(3545)    
  80     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:2     X(3543)    
  81     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 5:2     X(3845)    
  82     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 5:2     X(5102)    
  83     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:2     X(3534)    
  84     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:2     X(549)    
  85     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 5:2     X(5054)    
  86     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 5:2     X(376)    
  87     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 5:2     X(3830)    
  88     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 5:2     X(2487)    
  89     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 5:3     X(4669)    
  90     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 5:3     X(3244)    
  91     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 5:3     X(550)    
  92     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 5:3     X(382)    
  93     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 5:3     X(546)    
  94     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 5:3     X(3629)    
  95     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 5:3     X(3632)    
  96     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 5:3     X(3845)    
  97     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 5:3     X(3853)    
  98     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 5:3     X(3534)    
  99     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:3     X(548)    
  100     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 5:3     X(2487)    
  101     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 5:4     X(3543)    
  102     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 5:4     X(376)    
  103     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 5:4     X(1657)    
  104     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 5:4     X(3146)    
  105     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 6:1     X(1698)    
  106     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 6:1     X(4816)    
  107     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 6:1     X(1656)    
  108     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 6:1     X(5076)    
  109     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 6:1     X(3091)    
  110     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 6:1     X(631)    
  111     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 6:1     X(3522)    
  112     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 6:1     X(1656)    
  113     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 6:1     X(632)    
  114     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 6:1     X(3763)    
  115     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 6:1     X(3623)    
  116     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 6:1     X(3616)    
  117     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 6:5     X(3632)    
  118     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 6:5     X(3830)    
  119     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 6:5     X(382)    
  120     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 6:5     X(3146)    
  121     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 6:5     X(3529)    
  122     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 6:5     X(5059)    
  123     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 6:5     X(1657)    
  124     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 6:5     X(550)    
  125     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 7:1     X(5066)    
  126     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 7:1     X(5054)    
  127     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:1     X(8703)    
  128     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:1     X(547)    
  129     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 7:2     X(4521)    
  130     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 7:2     X(5071)    
  131     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 7:2     X(3858)    
  132     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:2     X(632)    
  133     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 7:2     X(3522)    
  134     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 7:2     X(5076)    
  135     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 7:2     X(3676)    
  136     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 7:3     X(4745)    
  137     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 7:3     X(3635)    
  138     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 7:3     X(548)    
  139     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 7:3     X(3627)    
  140     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 7:3     X(3850)    
  141     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 7:3     X(3625)    
  142     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 7:3     X(5066)    
  143     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 7:3     X(3861)    
  144     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 7:3     X(8703)    
  145     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:3     X(3530)    
  146     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 7:4     X(3839)    
  147     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:4     X(8703)    
  148     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 7:4     X(3524)    
  149     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 7:4     X(3534)    
  150     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 7:4     X(3543)    
  151     Point Dividing Externally the Directed Segment from X(7) Gergonne Point to the X(1) Incenter in the Ratio of 7:5     X(7263)    
  152     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 7:6     X(3633)    
  153     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 7:6     X(1657)    
  154     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 7:6     X(3627)    
  155     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 7:6     X(6144)    
  156     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 7:6     X(3534)    
  157     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 7:6     X(3529)    
  158     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 7:6     X(5073)    
  159     Point Dividing Externally the Directed Segment from X(7) Gergonne Point to the X(1) Incenter in the Ratio of 7:6     X(4361)    
  160     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 7:6     X(4897)    
  161     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(7989)    
  162     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(3851)    
  163     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 8:1     X(3528)    
  164     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(3090)    
  165     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 8:3     X(3623)    
  166     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 8:3     X(3522)    
  167     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 8:3     X(3091)    
  168     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:3     X(3843)    
  169     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:3     X(631)    
  170     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(5) Nine-Point Center in the Ratio of 8:3     X(5734)    
  171     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 8:5     X(3839)    
  172     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:5     X(3830)    
  173     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:5     X(376)    
  174     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 8:7     X(3543)    
  175     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:7     X(5073)    
  176     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:7     X(3529)    
  177     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 8:7     X(650)   Center of the Stevanovic Circle  
  178     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:1     X(3634)    
  179     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:1     X(3628)    
  180     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:1     X(140)   Nine-Point Center of the Medial Triangle  
  181     Point Dividing Externally the Directed Segment from X(7) Gergonne Point to the X(2) Centroid in the Ratio of 9:1     X(6666)    
  182     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:1     X(1125)    
  183     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:2     X(667)    
  184     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:2     X(3090)    
  185     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 9:2     X(3857)    
  186     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:2     X(3523)    
  187     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:2     X(3526)    
  188     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 9:2     X(3528)    
  189     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 9:2     X(3619)    
  190     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:2     X(3622)    
  191     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:4     X(3617)    
  192     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:4     X(3091)    
  193     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:4     X(3522)    
  194     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:4     X(631)    
  195     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 9:4     X(3620)    
  196     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:4     X(3623)    
  197     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:5     X(3626)    
  198     Point Dividing Externally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 9:5     X(3860)    
  199     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:5     X(546)    
  200     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:5     X(550)    
  201     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:5     X(3530)    
  202     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 9:5     X(3631)    
  203     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:5     X(3244)    
  204     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:7     X(3625)    
  205     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:7     X(3627)    
  206     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:7     X(1657)    
  207     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:7     X(548)    
  208     Point Dividing Externally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 9:7     X(3630)    
  209     Point Dividing Externally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:7     X(3633)    
  210     Point Dividing Externally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:8     X(3621)    
  211     Point Dividing Externally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:8     X(3146)    
  212     Point Dividing Externally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:8     X(5059)    
  213     Point Dividing Externally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:8     X(20)   de Longchamps Point