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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