
 
        
         
		cles,  or  bosses,  thus  superadding  the  strength  of  
 a  dome to  that  of the  simple  arch,  at each point  
 where these bosses are  inserted.* 
 The bosses thus often  introduced at the origin,  
 division,  and  termination  of  the  ribs,  resemble  
 those applied by architects  to the  intersections of  
 the  ribs in Gothic  roofs,  and  are  much more efficient  
 in producing  strength.f  These  tubercules  
 have the effect of little vaults or domes ;  and they  
 are usually placed  at those parts of the external  
 shell, beneath which there  is  no immediate support  
 from  the  internal  transverse  plates  (see  
 PL  37, Fig.  8 .  PL  42, Fig. 3.  c. d.  e.  and Pl. 40,  
 Fig.  5.)t 
 *  These places  are  usually either  at  the  point of  bifurcation,  
 as  in PI.  37, Pigs.  2,  7,  9,  10,  or  at the point of  trifurcation,  as  
 in Fig.  3. 
 f   The  ribs  and  bosses  in  vaulted  roofs  project  beneath  the  
 under  surface of the arch;  in the  shells of Ammonites,  they  are  
 raised  above the  convex  surface. 
 t  In  PI.  37, Fig.  9  (A.  varians),  the  strength  of the  ribs and  
 proportions of the tubercles are variable,  but the general character  
 exhibits a triple series  of large tubercles,  rising from  the  surface  
 of  the  transverse  ribs.  Each  of  these  ribs  commences  with  a  
 small  tubercle  near  the  inner  margin  of the  shell.  At  a  short  
 distance  outwards  is  a  second  and  larger  tubercle,  from  which  
 the rib  bifurcates,  and  terminates  in  a  third  tubercle,  raised  at  
 the  extremity of each fork upon the dorsal margin. 
 Many species of Ammonites have  also  a  dorsal  ridge  or  keel,  
 (PI.  37, Figs.  1.  2. 6.) passing along the back of the shell, immediately  
 over  the  siphuncle,  and  apparently  answering,  in  some  
 cases,  the further purpose of a cut-water,  and keel  (PI.  37,  Figs.  
 1,  2.).  In  certain  species,  e.  g.  in  the  A.  lautus  (PI.  37, 
 Similar tubercles are introduced with  the same  
 advantage of adding Strength  as well  as  Beauty  
 in  many  other  cognate  genera  of  chambered  
 shells.  (Pl. 44, Fig.  9.  10 .  14.  15.) 
 In  all these cases, we recognize the exercise of  
 Discretion  and  Economy in the midst  of Abundance  
 ;  distributing  internal  supports  but  sparingly, 
   to  parts  which,  from  their  external  form,  
 were already  strong,  and dispensing  them  abun- 
 Fig.  7,  a. c.) there  is  a double keel,  produced by  a deep depression  
 along  the  dorsal  margin;  and  the  keels  are  fortified by  a  
 line  of  tubercles  placed  at  the  extremity of the  transverse  ribs.  
 In  the A.  varians  (Pl.  37,  9.  a.  b.  c.)  which  has  a  triple  keel,  
 the two  external ones  are  fortified by tubercles,  as in Fig. 7,  and  
 the central keel  is  a simple  convex  arch. 
 Pl.  37,  Fig.  8,  offers  an  example  of  domes,  or  bosses,  compensating  
 the  weakness  that, without  them,  would  exist  in  the  
 A.  catena,  from  the  minuteness  of  its  ribs,  and  the  flatness of  
 the sides  of  the  shell.  These  flat  parts  are all  supported  by  an  
 abundant  distribution  of  the  edges  of  the  transverse  plates  
 directly beneath them, whilst  those parts which  are  elevated  into  
 bosses,  being  sufficiently  strong,  are  but  slightly provided with  
 any other support.  The back  of this shell  also,  being nearly  flat,  
 (Pl.  37, Fig.  8.  b.  c.)  is  strongly supported  by  ramifications  of  
 the transverse plates. 
 In  Pl.  37, Fig.  6, which  has  a triple keel,  (that in  the centre  
 passing over the  siphuncle),  this  triple elevation  affords compensation  
 for  the weakness  that would otherwise arise  from the great  
 breadth  and  flatness  of  the  dorsal  portion  of  this  species.  Between  
 these three keels,  or ridges,  are two  depressions  or  dorsal  
 furrows,  and  as  these  furrows  form  the  weakest  portion  of  the  
 shell,  a  compensation  is provided  by  conducting  beneath  them  
 the denticulated  edges  of the  transverse  plates,  so  that they  present  
 long lines of resistance  to  external  pressure.