by Balance of Errors, 

 Table [continued). 



417 



e. 



Equal Radial 

 Degrees. 



Unchanged 

 Areas". 



Stereographic 



Sir H. James. 



Balr.nce of 

 Errors. 



45 



M1072 



M7157 



100000 



1-07107 



107775 



50 



1-13919 



1-21744 





1-09094 



1 09604 



55 



1-171S6 



1-27099 





1-11461 



1-11617 



60 



1-20920 



1-33333 





1-14286 



1-13812 



65 



1-25174 



1*40586 





1-17668 



1-16171 



70 



1-30014 



1-49029 



1« 



1-21744 



1-18679 



75 



1-35517 



1-58879 





1-26695 



1-21311 



80 



1-41780 



1-70409 



1« 



1-32780 



1-24033 



85 



1-48920 



1-83966 





1-40365 



1-26801 



90 



1-57080 



2-00000 





1-50000 



1-29559 



95 



1-66439 



2-19095 





1-62533 



1-32235 



100 



1-77225 



242028 





179351 



1-34743 



105 



1-89724 



2-69840 





2-028S3 



1-36980 



110 



204307 



3-03961 





2-37793 



1-38832 



115 



2-21462 



3-46391 





2-91308 



1-40171 



120 



2-41840 



4-00000 





4-00000 



1-43395 



125 



2-66332 



4-69017 





6-63459 



1-40808 



ISO 



2-96188 



5-59891 





2393204 



1-39883 



135 



3-33216 



6-82842 



1" | After this 



1-38347 



140 



3-80135 



8-54863 



1" the projec- 



1-35228 



145 



441219 



1105901 



!• tion fails. 



1-31529 



150 



5-23598 



15-95147 



1« 



1-26275 



155 



640119 



21-3464S 



1- 



1-21965 



160 



8-16480 



33-16345 



1-00000 



1-16548 



15. The last two Tables, which enable us to compare numerically 

 the Exaggeration and the Distortion in the different systems, will 

 give us the means of comparing the systems generally. I shall 

 make this comparison for the two values of 6, 115°, and 135°: 

 the former, because it is nearly the extreme value of 6 in Sir H. 

 James's maps • the latter because, while on the one hand it may 

 be sometimes desirable, on the other hand it is the largest that 

 is likely ever to be wanted. 



16. For = 115°, the Exaggeration of the stereographic system 

 is 12*0 • this will perhaps be judged so large as to exclude it from 

 further consideration. The merits of the others stand in the 

 order, — 



1. Unchanged Areas. 



2. Sir H. James's. 



3. Equal Radial Degrees. 



4. Balance of Errors. 



But when we consider the Distortion, the order is, — 



1. Balance of Errors. 



2. Equal Radial Degrees. 



3. Sir H. James's. 



4. Unchanged Areas. 



