On Multiplication by a Table of Single Entry. 

 Table {continued). 



331 



Description of 

 temper. 



No. of 

 magnet. 



First magnetization. 



Second magnetization. 



Total 

 magnetic 

 moment. 



Magnetic 



moment 



per 



gramme 

 mass. 



Total 



magnetic 

 moment. 



Magnetic 



moment 



per 



gramme 

 mass. 



Heated to a j 

 bright red heat j 

 and cooled in] 

 oil at 150° C. ! 



76. 



77. 

 78. 

 79. 

 80. 



21-863 

 21-687 

 20-404 

 21-762 

 21-484 



76-178 

 75-564 

 71-094 

 75-826 



74-857 



22-096 

 22-208 

 21096 

 22-263 



22-300 



76-990 

 77-380 

 73-505 

 77-573 

 77-700 



Mean 





21-44 



74-71 



21-99 



76-63 



Heated to a j 

 bright red heat J 

 and cooled in j 

 oil at 200° C. 



81. 



82. 

 83. 



84. 

 85. 



21-222 

 20-895 

 20-924 

 21-147 

 20-962 



74-333 

 73-445 

 73-547 

 73-943 



73-810 



21349 

 21-279 

 21-185 

 21-222 

 20-924 



74-778 

 74-796 

 74-464 

 74-203 

 73-676 



Mean 





21-03 73-82 



21-19 



74-38 



Heated to a j 

 brightredheat J 

 and cooled in j 

 oil at 250° C. 



86. 

 87. 

 88. 

 89. 

 , 90. 



20-869 

 20-531 

 20-421 

 20-719 

 20-745 



72-970 



71-988 

 71-778 

 72444 

 72-282 



20-831 

 20-831 

 20-570 

 20-905 

 20-905 



72-836 

 73-040 

 72-302 

 72-094 



72-840 



Mean 



20-66 



7229 



20-81 



72-62 



Heated to a j 

 brightredheat J 

 and cooled in j 

 oil at 300° C. 



91. 

 92. 

 93. 



94. 

 95. 



20-887 

 21-129 

 20-794 

 20-745 

 21092 



73-415 

 74-323 



73-218 

 72*156 

 73-109 



20-905 

 21-259 

 21-110 

 20-886 

 21-109 



73-480 

 74-195 

 74-296 

 72-647 

 73-168 



Mean 





20-93 



73-24 | 21-05 73-56 



XLY. On Multiplication by a Table of Single Entry. 

 By J. W. L. Glaisher, M.A., F.R.S.* 



§1. 



IN the British-Association Report (Bradford, 1873, 

 pp. 22, 23) I made the following remarks in refer- 

 ence to multiplication by means of tables of quarter squares : — 

 "In 1854, Professor Sylvester, having seen a paper in Ger- 

 gonne in which the method was referred to, and not being 

 aware that tables of quarter squares for facilitating multipli- 



* Communicated bv the Author. 



