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