TY - JOUR AU - Sharp, W. J. Curran AB - 316 Mr. W. J. C. Sharp on [June By W. J. CUBRAN SHARP. [Read June lit}), 1890.] SUMMABY OP THE PAPER. Addenda to Arts. X., XIII., XXVII., XXIX., and XXXVI. Articles. XXXVII. Content of subsidiary simplicissima in terms of the co-. ordinates of the vertices. XXXVIII . The angle between two right lines. Condition of perpon dicularity. Shortest distance between two right lines. Principal axps of a quadric. XXXIX. Content of the simplicissimum -vertices at any point and all bnt one of its projections on the faces of tbesimplicissimqm, of reference; of the pedal simplicissimum. Condition that this should vanish. XL. Interpretation of various equations by the help of XXXIX., especially —H J- — +.. . =0 . The poles of infinity. All lines through these are such that the sum of the reciprocals of the intercepts is zero. XLI. The identical relations between the products of comple- mentary simplicissima of n vertices, situated at 2n points in space p.f n—X dimensions. Triangles haying their vertices at six or five points in a plane. Tetrahedron with verticos at eight, seven, or six points,. Various classes of an harmonic th systems. All up to the n—l (are applicable in the TI - On Simplicissima in Space of n Dimensions, (Third Paper.) JF - Proceedings of the London Mathematical Society DO - 10.1112/plms/s1-21.1.316 DA - 1889-11-01 UR - https://www.deepdyve.com/lp/wiley/on-simplicissima-in-space-of-n-dimensions-third-paper-9AMIWbpdID SP - 316 EP - 350 VL - s1-21 IS - 1 DP - DeepDyve ER -