Ⅰ．ON THE TYPES OF COMPOUND STATEMENT INVOLVING FOUR CLASSES 1
Ⅱ．EXUMERATIO OF THE TYPES OF COMPOUND STATEMENTS．[1877] 14
Ⅲ．ON SOME PORISMATIC PROBLEMS 17
Ⅳ．PROOF THAT EVERY RATIONAL EQUATION HAS A ROOT 20
Ⅴ．ON THE SPACE-THEORY OF MATTER 21
Ⅵ．ON JACOBIANS AND POLAR OPPOSITES 23
Ⅶ．ON THE PRINCIPAL AXES OF A RIGID BODY 34
Ⅷ．SYNTHETIC PROOF OF MIQUEL＇S THEOREM 38
Ⅸ．ON THE HYPOTHESES WHICH LIE AT THE BASES OF GEOMETRY 55
Ⅹ．ANALOGUES OF PASCAL＇S THEOREM 72
Ⅺ．ANALYTICAL METRICS 80
Ⅻ．ON THE ENERAL THEORY OF ANHARMONICS 110
ⅩⅢ．ON A GENERALIZATION OF THE THEORY OF POLARS 115
ⅩⅣ．ON SYZYGETIC RELATIONS AMONG THE POWERS OF LINEAR QUANTICS 119
ⅩⅤ．ON SYZYGETIC RELATIONS CONNECTING THE POWERS OF LINEAR QUANTICS．[1869] 123
ⅩⅥ．ON THE THEORY OF DISTANCES．[1869] 130
ⅩⅦ．ON A CASE OF EVAPORATION IN THE ORDER OF A RESULTANT 164
ⅩⅧ．ON A THEOREM RELATING TO POLYHEDRA，ANALOGOUS TO MR COTTERILL＇S THEOREM ON PLANE POLYGONS 168
ⅩⅨ．GEOMETRY ON AN ELLIPSOID 177
ⅩⅩ．PRELIMINARY SKETCH OF BIQUATERNIONS 181
ⅩⅪ．GRAPHIC REPRESENTATION OF THE HARMONIC COMPONENTS OF A PERIODIC MOTION 201
ⅩⅫ．ON THE TRANSFORMATION OF ELLIPTIC FUNCTIONS 205
ⅩⅩⅢ．NOTES ON THE COMMUNICATION ENTITLED＂ON THE TRANSFORMA-TION OF ELLIPTIC FUNCTIONS＂ 218
ⅩⅩⅣ．ON IN-AND-CIRCUMSCRIBED POLYHEDRA．[1876] 229
ⅩⅩⅤ．ON A CANONICAL FORM OF SPHERICAL HARMONICS 234
ⅩⅩⅥ．ON THE FREE MOTION UNDER NO FORCES OF A RIGID SYSTEM IN AN n-FOLD HOMALOID．(Provisional Notice) 236
ⅩⅩⅦ．ON THE CANONICAL FORM AND DISSECTION OF A RIEMANN＇S SURFACE 241
ⅩⅩⅧ．REMARKS ON THE CHEMICO-ALGEBRAICAL THEORY 255
ⅩⅩⅨ．NOTES ON QUANTICS OF ALTERNATE NUMBERS，USED AS A MEANS FOR DETERMINING THE INVARIANTS AND CO-VARIANTS OF QUANTICS IN GENERAL 258
ⅩⅩⅩ．APPLICATIONS OF GRASSMANN＇S EXTENSIVE ALGEBRA 266
ⅩⅩⅪ．BINARY FORMS OF ALTERNATE VARIABLES 277