32 MEMOIRS NATIONAL ACADEMY OF SCIENCES. [vol. xiv 



Trains fob the Ststem VA. 



Three classes of trains terminating in triads of the system: (1) 1 train, figure 5; (2) 18 

 trains, figure 15; (3) 16 trains, figure 13. 



Trains for the System VB. 



Five classes of trains terminating in triads of the system: (1) 1 train, figure 14; (2) 6 trains, 

 figure 15; (3) 12 trains, figui'e 47; (4) 4 trains, figure 12; (5) 12 trains, figure 39. 



Trains for the System VC. 



Nine classes of trains terminating in triads of tlie system: (1) 2 trains, figure 25; (2) 4 

 trains, figure 57; (3) 4 trains, figure 15; (4) 1 train, figure 14; (5) 4 trains, figure 50; (6) 8 

 trains, figure 54; (7) 4 trains, figure 46; (S) 4 trains, figure 36; (9) 4 trains, figure 39. 



Trains for the System VD. 



Seven classes of trains terminating in triads of the system: (1) 3 trains, figure 25; (2) 4 

 trains, figure 60; (3) 1 train, fig. 14; (4) 6 trains, figm-e 50; (5) 12 trains, figure 53; (6) 3 trains, 

 figure 15; (7) 6 trains, figure 36. 



Trains for the System VIA. 



Six classes of trains terminating in triads of the system: (1) 4 trains, figure 20; (2) 3 trains, 

 figure 15; (3) 6 trains, figure 132; (4) 12 trains, figure 64; (5) 6 trains, figure 109; (6) 4 trains, 

 figure 1. 



Trains for the System VIB. 



Twenty-one classes of trains terminating in triads of the system: (1) 1 train, figure 26 



(2) 2 trains, figure 22; (3) 2 trains, figure 20; (4) 1 train, figure 15; (5) 2 trains, figure 104 



(6) 1 train, figure 16; (7) 2 trains, figure 102; (8) 1 train, figure 130; (9) 2 trains, figure 83 



(10) 2 trains, figure 3; (11) 2 trains, figure 72; (12) 2 trains, figure 69; (13) 2 trains, figure 35 



(14) 2 trains, figure 75; (15) 2 trains, figure 125; (16) 2 trains, figm-e 67; (17) 1 train, figure 



113; (18) 1 train, figure 119; (19) 2 trains, figure 112; (20) 1 train, figure 109; (21) 2 trains, 



figure 1. 



Trains for the System VIC. 



Thirteen classes of trains terminating in triads of the system: (1) 3 trains, figure 22; (2) 1 

 train, figure 20; (3) 3 trains, figm-e 16; (4) 3 trains, figure 3; (5) 3 trains, figure 73; (6) 3 trains, 

 figure 74; (7) 3 trains, figure 122; (8) 3 trains, figure 124; (9) 3 trains, figure 126; (10) 3 trains, 

 figure 31; (11) 3 trains, figure 65; (12) 3 trains, figure 117; (13) 1 train, figure 1. 



Trains for the System VID. 



Thirteen classes of trains terminating in triads of the system: (1) 3 trains, figure 26; (2) 3 

 trains, figure 22; (3) 3 trains, figure 89; (4) 3 trains, figure 55; (5) 1 train, figm-e 20 ; (6) 3 trains, 

 figure 103; (7) 3 trams, figure 101; (8) 3 trains, figure 3; (9) 3 trains, figure 36; (10) 3 trains, 

 figure 76; (11) 3 trains, figure 96; (12) 3 trains, figure 98; (13) 1 train, figure 1. 



Trains for the System VII. 



One class of trains terminating in triads of the system: (1) 35 trains, figure 1. 



Two classes of trains terminating in cycles of period 6: (2) 5 trains, figure 183; (3) 5 trains 



figure 186. 



Trains for the System I2. 



Seven classes of trains terminating in triads of the system: (1) 5 trains, figure 32; (2) 

 5 trains, figure 159; (3) 5 trains, figure 94; (4) 5 trains, figure 163; (5) 5 trains, figure 146: 

 (6) 5 trains, figure 2; (7) 5 trains, figure 1. 



