TY - JOUR
AU - Genese, R. W.
AB - 304 Prof. R. W. Genese on [April 7, hence the tangents at A' and 0' will also meet on OB' produced; that is to say, A'B = B'G'. Hence, with S (or $') as centre, and the corresponding polar as axis of perspective, the harmonic polygon ABO... projects harmonically into a regular polygon A'B'O'...) which is the same as saying that the vertices of the one invert into the vertices of the other, with either 8 or S' for centre of inversion. The connexion between a harmonic and a regular polygon can also be seen by reciprocating, with respect to k, the ellipse 2 of Fig. 2 into a circle, in which casep,pip^... reciprocates into a regular polygon. [To the memoirs cited in Art. 1 must now be added another by MM. Tarry and Neuberg, published by the Association franqaise pour Vavancement des sciences (Congres de Nancy, seance dtt 13 aout, 1880), entitled " Sur les polygones et les polyedres harmoniques," aud which contains interesting and ingenious extensions of some of tho fore- going properties to the case of solid figures, by the method of harmonic projection. It may here bo mentioned that, although the tjeometne brocardienne of the 
TI - On Relations between Circles and Algebruic Curves, with Applications to Dynamics
JO - Proceedings of the London Mathematical Society
DO - 10.1112/plms/s1-18.1.304
DA - 1886-11-01
UR - https://www.deepdyve.com/lp/wiley/on-relations-between-circles-and-algebruic-curves-with-applications-to-oMTyco9FJ4
SP - 304
EP - 313
VL - s1-18
IS - 1
DP - DeepDyve
ER -