94. 



PROP. W. K. CLIFFORD ON THE 



the remaining one), or two mediates distant i i, 3 3 or i 3, 

 I 3 from the two proximates ; 8 types. 



Lastly, in an eightfold statement with four pairs of 

 obverses they may be all evenly distant, or the statement 

 may subdivide into six and two, or into four and four ; in 

 the latter case there are 2 types. 



21. To obtain the whole number of types, we observe 

 that for every less-than-eightfold type there is a comple- 

 mentary more-than-eightfold type (art. 2) ; so that we 

 must add the number of eightfold types (78) to twice the 

 number of less-than-eightfold types (159) ; the result is 

 396. 



TABLE. 

 Art. 



4. I -fold 



2-fold, distance i, 2, 3, 4 



5. 3-fold, pure, distance 112,222, 123, 233 4 



I pair obv., dist. i 34, 224 2 



6 



6. 4-fold, pure, two and two : — — 



I [ I I i I ijj. JLU. .iii. .3_U 6 



'i I i' *i j 3' '3 ! 3" '3 ! i' '3 1 3' "3 [ 3' 



three and one 4 



group, proper or improper 2 



1 pair obv 



2 pair obv., dist. odd or even 



19- 



8. S-fold, pure, three and two 7 



four and one 5 



I pqiir obv.-f-two prox 5 



4-prox. + ult 3 



-htwo med 4 



2 pair obv., odd dist., i ; even, 2 



3 

 27 



19 



27 



