MEMOIRS OF THE NATIONAL ACADEMY OF SCIENCES. 



191 



the data for comparison of the French measurements are rich, while those for the measurements 

 of the German school are meager. Scattered through the pages of the Zeitsclirift fur EUinoloyie 

 and the accompanying Yerhandhtny tier Berliner Gesellsckaft fur Anthropologie, Ethnologie und 

 Urgesohichte there arc many separate papers by Prof. Virchow (see Table LXXIX). From these 

 we have prepared, with the expenditure of considerable time and care, Table No. LXXX, and from 

 this we quote a few items for comparison in the facial indices. 



We ha ve compiled the following eight tables of comparison, which appear in this section, largely 

 from our own very insufficient special series of 101 before referred to (Table LXXXI). Tables B, 

 D, F, II , show the relations of this Saladoau collection to various races of the world, and Tables 

 C, E, G, I, show its relations to other Indian tribes. Where anything is added from Table No. 

 LXXX the source is indicated in a footnote. 



The facial index of Virchow, which is the product of the naso-mental height multiplied by 

 100 and divided by the facial width of Virchow a line uniting the inferior extremities of the 

 malo-maxillary sutures has been computed in 19 skulls. These indices are shown in Tables xxvi, 

 xxvn, where it appears that they vary from 102.85 to 131.25, and that their average is 117.64. For 

 this index, according to the "agreement," the dividing point between the two classes of broad 

 faces and narrow faces is an index of 90, all above this being narrow and all below, broad. These 

 skulls are therefore decidedly narrow faced, but so it would appear are all races as represented in 

 our series of 101, as shown in the following tables: 



TABLE B. Facial index of Virchow among various races. 



From Table LXXX. 



TABLE C. Facial index of Virchow among American tribes. 



We have been able to compute the upper facial index of Virehow in .34 skulls. This index is 

 the product of the naso-alveolar height multiplied by 100 and divided by the facial width of 

 Virchow. In the tables of this measurement (Tables xxvm, xxix) we liiid that the minimum is 

 62.22, the maximum 79.59, and the average 69.82. For this index 50 constitutes the point of 

 division between broad and narrow upper faces. The skulls in this group, then, are all distinctly 

 of the latter class. In the tables below it will be seen that there are no averages below 50. In 

 other words, there are no broad upper faces in our special series of 101. 



