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Show 506 PROF. F. J. BELL ON THE GENUS ASTERIAS. [May 3, e = echinoplacid ; a'=autacanthid ; r = rarispinos8e ; «=anechinoplacid ; t = typacanthid ; s = simplices ; r = retusispinosae ; c= acutispinosae. Thus, the formula for A. ruBens is 2 ats; for A. ruBens is diplacanthid, anechinoplacid, typacanthid, with simple dorsal spines. To distinguish between the Pentactinida and the Heteractinida I propose to place the formula for the latter under the mathematical sign of a square root; thus \/ 1 p is sufficient to distinguish A. calamaria as a monacanthid polyplacid heteractinid form. If we know, as we do in this case, further details, we may write the formula \/ 1 Paa ; or, in other words, in addition, A. calamaria has no spines round its madreporic plate, and the dorsal spines are placed on special plates. To take two other examples : - A. epichlora = 2 atr, or is diplacanthid, anechinoplacid, typacanthid, and retusispinose (or has the spines blunted and short); the absence of the root sign shows it to be pentactinid. For A. gelatinosa we have *J I m ; or \t \% monacanthid and monoplacid, while the root-sign shows it to be heteractinid ; as, also, it is anechinoplacid and typacanthid, we may write its full formula V 1 mat. 1. acervata 2. acutispina 3. sequalis 4. africana 5. alba 6. amurensis 7. antarctica 8. bcrbonica 9. borealis 10. brachiata 11. brandti 12. brevispina 13. calamaria 14. camtschatica 15. capensis 16. capitata 17. clavatum 18. compta 19. conferta 20. cribraria 21. cunninghami 22. disticha. 23. douglasi 24. epichlora 25. fissispina 26. forbesi 27. fulgens 28. fulva 29. fungifera = V 2 me. = V 2 pat. = V 1 mat (?) = 1 atr. = 2 atr. = 2 ats. = 1 atr'. = 1. = V 2 mat. = 1. = 2 aa'. = 1. = V 1 pat. = V 2 pat. = 1 atr (?) = 2r. = 1. = 1 atr' (?). = 2 ate. = 1 ats. = 2 V mat. - 2 atr'. = 1 atr (?). = 1 ats. = 1. = 2e. = 2. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. gelatinosa gemmifer germaini glacialis groenlandica hexactis hispida ianthina. japonica katherinse linckii littoralis luetkeni lurida margaritifera V I mat. V 1 mat. re. 1 atr. 2aa'. = V 2 mat. = 1 ats. = 2 ate. V 1 mat. 1 at. 2 ate. 1 ats (?) 2e. 1. meridionalis mexicana mitis. mollis muelleri neglecta nuda obtusispinosa ochotensis ochracea panopla paucispina pectinata. = = m = = = = = = = V 2 maa'. 1. 2. 1 atr. 2aa'. 2e. 2e. 2 ats. 1 atr'. 3e.\ 1 atr. perrieri = V 1 maa , |