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X(370) and its five mates, see Table 10 Ga, Gb, Gc : vertices of the antimedial triangle
Ma midpoint of BC A' reflection of A in BC A" reflection of A' in Ma, on the circumcircle and on GbGc 

The quintic Q036A is the locus of point P such that its cevian triangle PaPbPc is isosceles at Pa. Q036B and Q036C are defined similarly. Obviously, these three quintics contain X(370) and its five mates. Q036A is a central curve with center Ma, the midpoint of BC. It has two nodes A and Ga. The nodal tangents at A are the bisectors and those at Ga are their parallels at Ga. The "sum" of these three quintics is the quintic Q034. See table 10 : X(370) related curves. 
