Kimberling Notation | Role | |
---|---|---|
1 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and Triangle ABC |
2 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Medial Triangle |
3 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Antimedial Triangle |
4 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Half-Median Triangle |
5 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Circum-Medial Triangle |
6 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Anticevian Triangle of the Incenter |
7 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Pedal Triangle of the Symmedian Point |
8 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Centroid in the Sidelines of the Antipedal Triangle of the Centroid |
9 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of Triangle ABC in the Centroid |
10 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Cevian Triangle of the Centroid in the Centroid |
11 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Pedal Triangle of the Symmedian Point in the Symmedian Point |
12 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Centroids of the Triangulation Triangles of the Centroid |
13 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Inner Napoleon Points of the Pedal Corner Triangles of the First Isodynamic Point |
14 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Outer Napoleon Points of the Pedal Corner Triangles of the Second Isodynamic Point |
15 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Second Isodynamic Points of the Pedal Corner Triangles of the Outer Napoleon Point |
16 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Inner Vecten Points of the Pedal Corner Triangles of the First Kenmotu Point |
17 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Triangle of the Second Kenmotu Points of the Pedal Corner Triangles of the Outer Vecten Point |
18 | X(2) Centroid | Perspector and Homothetic Center of the Fourth Brocard Triangle and the Half-Circumcevian Triangle of the Centroid (Homothetic Triangles) |
19 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Monge Triangle of the Incircles of the Triangulation Triangles of the Centroid |
20 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Spieker Circle |
21 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Spieker Circle |
22 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Nine-Point Circle |
23 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Antimedial Circle |
24 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Spieker Circle |
25 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Spieker Circle |
26 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Spieker Circle |
27 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Excircles and the Spieker Circle of the Medial Triangle |
28 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Incircle of the Antimedial Triangle |
29 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Mixtilinear Incircles and the Spieker Circle of the Medial Triangle |
30 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Incircle of the Antimedial Triangle |
31 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Nine-Point Circle of the Medial Triangle |
32 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Antimedial Circle of the Antimedial Triangle |
33 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Malfatti Circles and the Spieker Circle of the Medial Triangle |
34 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Incircle of the Antimedial Triangle |
35 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Medial Triangle |
36 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Antimedial Circle of the Antimedial Triangle |
37 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Incircle of the Antimedial Triangle |
38 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Incircle of the Antimedial Triangle |
39 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Orthocentroidal Circle of the Johnson Triangle |
40 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Orthocentroidal Circle of the Johnson Triangle |
41 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Excircles and the Spieker Circle of the Half-Median Triangle |
42 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Mixtilinear Incircles and the Spieker Circle of the Half-Median Triangle |
43 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Soddy Circles and the Cosine Circle of the Honsberger Triangle |
44 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Soddy Circles and the Cosine Circle of the Honsberger Triangle |
45 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Lucas Circles and the Brocard Circle of the First Brocard Triangle |
46 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Nine-Point Circle of the Half-Median Triangle |
47 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Malfatti Circles and the Spieker Circle of the Half-Median Triangle |
48 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Johnson Circles and the Brocard Circle of the First Brocard Triangle |
49 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the External Moses Triangle of the Johnson Circles and the Nine-Point Circle of the Half-Median Triangle |
50 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Inner Yff Circles and the Spieker Circle of the Half-Median Triangle |
51 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Outer Yff Circles and the Spieker Circle of the Half-Median Triangle |
52 | X(2) Centroid | Perspector of the Fourth Brocard Triangle and the Internal Moses Triangle of the Lucas Circles and the Johnson Circles |
53 | X(6) Symmedian Point | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Symmedian Point in the Sidelines of the Pedal Triangle of the Far-Out Point |
54 | X(6) Symmedian Point | Perspector of the Fourth Brocard Triangle and the Triangle of Reflections of the Vertices of the Anticevian Triangle of the Symmedian Point in the Euler Reflection Point |
55 | X(6) Symmedian Point | Perspector of the Fourth Brocard Triangle and the Triangle of the Euler Reflection Points of the Anticevian Corner Triangles of the Centroid |
56 | X(6) Symmedian Point | Perspector of the Fourth Brocard Triangle and the Triangle of the Centroids of the Anticevian Corner Triangles of the Parry Point |
57 | X(15) First Isodynamic Point | Perspector of the Fourth Brocard Triangle and the Outer Napoleon Triangle |
58 | X(15) First Isodynamic Point | Perspector of the Fourth Brocard Triangle and the Triangle of the Outer Napoleon Points of the Triangulation Triangles of the First Isodynamic Point |
59 | X(15) First Isodynamic Point | Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Outer Napoleon Points of the Triangulation Triangles of the First Isodynamic Point |
60 | X(16) Second Isodynamic Point | Perspector of the Fourth Brocard Triangle and the Inner Napoleon Triangle |
61 | X(61) Isogonal Conjugate of the Outer Napoleon Point | Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Nine-Point Centers of the Triangulation Triangles of the First Isodynamic Point |
62 | X(62) Isogonal Conjugate of the Inner Napoleon Point | Perspector of the Fourth Brocard Triangle and the Stevanovic Triangle of the Nine-Point Centers of the Triangulation Triangles of the Second Isodynamic Point |
63 | X(566) | Perspector of the Fourth Brocard Triangle and the Half-Antipedal Triangle of the Center of the Orthocentroidal Circle |
64 | X(8792) | Perspector of the Fourth Brocard Triangle and the Anticevian Triangle of the Perspector and Homothetic Center of the Orthic Triangle and the Tangential Triangle |
65 | X(8792) | Perspector of the Fourth Brocard Triangle and the Cevian Triangle of the Perspector of the Half-Symmedian Triangle and the Orthic Triangle |
66 | X(8877) | Perspector of the Fourth Brocard Triangle and the Anticevian Triangle of the Parry Point |