It has been shown [4] that if two triangles ABC and PQR (Fig. 6) be in perspective with respect to any point S as centre of perspective, the sides of PQR cut the non-corresponding sides of ABC in three pairs of points which lie on a circle, provided that the angles made by the sides of PQR with those of ABC possess certain values dependent on the position of S. In the general case, when these angles do not conform to the condition referred to, it follows from Pascal's theorem that the six points determined by the sides of PQR on the sides of ABC, lie on a conic.