Table P-X
Internal 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 Internally the Directed Segment from X(1) Incenter to the X(3) Circumcenter in the Ratio of 2:1     X(3576)    
  2     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(4) Orthocenter in the Ratio of 2:1     X(1699)    
  3     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 2:1     X(5886)    
  4     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 2:1     X(3679)    
  5     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 2:1     X(3524)    
  6     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 2:1     X(3839)    
  7     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 2:1     X(5055)    
  8     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 2:1     X(5054)    
  9     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 2:1     X(381)   Center of the Orthocentroidal Circle  
  10     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 2:1     X(2)   Centroid  
  11     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 2:1     X(5050)    
  12     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(1) Incenter in the Ratio of 2:1     X(5603)    
  13     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 2:1     X(3545)    
  14     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 2:1     X(2)   Centroid  
  15     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 2:1     X(381)   Center of the Orthocentroidal Circle  
  16     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 2:1     X(549)    
  17     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 2:1     X(3845)    
  18     Point Dividing Internally the Directed Segment from X(6) Symmedian Point to the X(3) Circumcenter in the Ratio of 2:1     X(5085)    
  19     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 2:1     X(2)   Centroid  
  20     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(3) Circumcenter in the Ratio of 2:1     X(5657)    
  21     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(5) Nine-Point Center in the Ratio of 2:1     X(5790)    
  22     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 3:1     X(1125)    
  23     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 3:1     X(3626)    
  24     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 3:1     X(3845)    
  25     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 3:1     X(4669)    
  26     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 3:1     X(140)   Nine-Point Center of the Medial Triangle  
  27     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 3:1     X(546)    
  28     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 3:1     X(3628)    
  29     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(6) Symmedian Point in the Ratio of 3:1     X(575)    
  30     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 3:1     X(5)   Nine-Point Center  
  31     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 3:1     X(140)   Nine-Point Center of the Medial Triangle  
  32     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 3:1     X(3850)    
  33     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 3:1     X(3628)    
  34     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 3:1     X(3530)    
  35     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 3:1     X(3861)    
  36     Point Dividing Internally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 3:1     X(3589)    
  37     Point Dividing Internally the Directed Segment from X(6) Symmedian Point to the X(3) Circumcenter in the Ratio of 3:1     X(5092)    
  38     Point Dividing Internally the Directed Segment from X(7) Gergonne Point to the X(2) Centroid in the Ratio of 3:1     X(142)   Mittenpunkt of the Medial Triangle  
  39     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 3:1     X(1125)    
  40     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 3:1     X(10)   Spieker Center  
  41     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(7) Gergonne Point in the Ratio of 3:1     X(5880)    
  42     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 3:2     X(3616)    
  43     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 3:2     X(3617)    
  44     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 3:2     X(631)    
  45     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 3:2     X(3091)    
  46     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 3:2     X(632)    
  47     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 3:2     X(3091)    
  48     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 3:2     X(1656)    
  49     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 3:2     X(3858)    
  50     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 3:2     X(1656)    
  51     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 3:2     X(631)    
  52     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 3:2     X(3843)    
  53     Point Dividing Internally the Directed Segment from X(6) Symmedian Point to the X(2) Centroid in the Ratio of 3:2     X(3618)    
  54     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 3:2     X(1698)    
  55     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 3:2     X(3617)    
  56     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(3) Circumcenter in the Ratio of 4:1     X(7987)    
  57     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(8227)    
  58     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 4:1     X(4668)    
  59     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 4:1     X(3676)    
  60     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 4:1     X(5071)    
  61     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 4:1     X(4468)    
  62     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 4:1     X(3843)    
  63     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(1656)    
  64     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 4:1     X(5071)    
  65     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 4:1     X(631)    
  66     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 4:1     X(3091)    
  67     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 4:1     X(3616)    
  68     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 4:1     X(4521)    
  69     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(5) Nine-Point Center in the Ratio of 4:1     X(5818)    
  70     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 4:3     X(3622)    
  71     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 4:3     X(3523)    
  72     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 4:3     X(3832)    
  73     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 4:3     X(3090)    
  74     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 4:3     X(4678)    
  75     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 4:3     X(3851)    
  76     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 4:3     X(3526)    
  77     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 4:3     X(3090)    
  78     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 4:3     X(3832)    
  79     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 4:3     X(667)    
  80     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 4:3     X(4546)    
  81     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 5:1     X(4669)    
  82     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:1     X(3845)    
  83     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 5:1     X(547)    
  84     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 5:1     X(5055)    
  85     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:1     X(549)    
  86     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:1     X(5066)    
  87     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 5:1     X(551)    
  88     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 5:2     X(4678)    
  89     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:2     X(3832)    
  90     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:2     X(3526)    
  91     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:2     X(3857)    
  92     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 5:2     X(3523)    
  93     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 5:2     X(3624)    
  94     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 5:3     X(4691)    
  95     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(1) Incenter in the Ratio of 5:3     X(3636)    
  96     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(3) Circumcenter in the Ratio of 5:3     X(3530)    
  97     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 5:3     X(546)    
  98     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(6) Symmedian Point in the Ratio of 5:3     X(6329)    
  99     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 5:3     X(3626)    
  100     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:3     X(3850)    
  101     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 5:3     X(5066)    
  102     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:3     X(3628)    
  103     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 5:3     X(3856)    
  104     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 5:3     X(3634)    
  105     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 5:3     X(4745)    
  106     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 5:4     X(3545)    
  107     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 5:4     X(5055)    
  108     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 5:4     X(5054)    
  109     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(4) Orthocenter in the Ratio of 5:4     X(3839)    
  110     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 6:1     X(3624)    
  111     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 6:1     X(4063)    
  112     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 6:1     X(3526)    
  113     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 6:1     X(3090)    
  114     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 6:1     X(3090)    
  115     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 6:1     X(3523)    
  116     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 6:1     X(3851)    
  117     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 6:1     X(3622)    
  118     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 6:1     X(667)    
  119     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 6:5     X(5072)    
  120     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 6:5     X(3525)    
  121     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 6:5     X(3855)    
  122     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 6:5     X(5056)    
  123     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 7:1     X(4746)    
  124     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:1     X(3861)    
  125     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 7:1     X(547)    
  126     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:1     X(3530)    
  127     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 7:1     X(3636)    
  128     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 7:1     X(3828)    
  129     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:2     X(3839)    
  130     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:2     X(5054)    
  131     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(3) Circumcenter in the Ratio of 7:2     X(3524)    
  132     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 7:3     X(3843)    
  133     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(8) Nagel Point in the Ratio of 7:3     X(4668)    
  134     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:3     X(3858)    
  135     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:3     X(632)    
  136     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:3     X(3859)    
  137     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:4     X(3855)    
  138     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:4     X(5070)    
  139     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 7:5     X(4745)    
  140     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:5     X(5066)    
  141     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:5     X(547)    
  142     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 7:5     X(3860)    
  143     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 7:5     X(3828)    
  144     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 7:6     X(5068)    
  145     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 7:6     X(5079)    
  146     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(7988)    
  147     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(5055)    
  148     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 8:1     X(3524)    
  149     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:1     X(3545)    
  150     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(5) Nine-Point Center in the Ratio of 8:3     X(5056)    
  151     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(5) Nine-Point Center in the Ratio of 8:3     X(5070)    
  152     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 8:3     X(3525)    
  153     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(5) Nine-Point Center in the Ratio of 8:3     X(3855)    
  154     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 8:3     X(5550)    
  155     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 8:5     X(5067)    
  156     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(3) Circumcenter in the Ratio of 8:7     X(5071)    
  157     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(1) Incenter in the Ratio of 8:7     X(4521)    
  158     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:1     X(632)    
  159     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:1     X(1656)    
  160     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:1     X(1698)    
  161     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(2) Centroid in the Ratio of 9:2     X(5550)    
  162     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(2) Centroid in the Ratio of 9:2     X(3525)    
  163     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:2     X(5056)    
  164     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:2     X(5070)    
  165     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:4     X(5068)    
  166     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:4     X(5067)    
  167     Point Dividing Internally the Directed Segment from X(1) Incenter to the X(8) Nagel Point in the Ratio of 9:5     X(4782)    
  168     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 9:5     X(3857)    
  169     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:5     X(3851)    
  170     Point Dividing Internally the Directed Segment from X(2) Centroid to the X(4) Orthocenter in the Ratio of 9:7     X(3860)    
  171     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:7     X(3850)    
  172     Point Dividing Internally the Directed Segment from X(8) Nagel Point to the X(2) Centroid in the Ratio of 9:7     X(4691)    
  173     Point Dividing Internally the Directed Segment from X(3) Circumcenter to the X(4) Orthocenter in the Ratio of 9:8     X(3544)    
  174     Point Dividing Internally the Directed Segment from X(4) Orthocenter to the X(2) Centroid in the Ratio of 9:8     X(3854)    
  175     Point Dividing Internally the Directed Segment from X(5) Nine-Point Center to the X(2) Centroid in the Ratio of 9:8     X(7486)