1814.] Account of an Arithmetical Machine. 351 



3. Determination of the Heights of some Mountains and Passes in 

 the country of the Grisons. 



In determining these heights I have employed a set of observa- 

 tions made by Mr. Escher in the Grisons, and I have reduced them 

 according to the Lindenau tables. The mountains of the Grisons 

 have been seldom measured, and the heights of the passes are 

 almost unknown. Corresponding observations with those of Escher 

 were made at Chur by Mr. Von Salis ; and I have reckoned, with 

 Lambert {Acta Helvet.), the height of Chur at 1695 English feet 

 above the sea. 



Height above the sea. 



Par pan, above Chiirwalden 4663 Eng. feet 



Erosa, a side valley in the Scliallsickthal 5848 



Plessur, at the entrance of Erosa into it 4981 



FurckU Scheideck, in Strela, the passage from 7 ..<-r>c> 



Schallsickthal to the valley of Davos 5 



Cathedral of Davos ._, 4845 



Scaletta Scheideck, in the Engadin 8334 



Zinnskel, in the upper Engadin, under Zutz 4996 



Zernetz, in the lower Engadin, at the bridge 4541 



Guarda, in the lower Engadin 5248 



Fettan, in the lower Engadin 5005 



Schils, 200 feet above the Inn 3800 



Martinshruck on the border 3 190 ^ 



Finstermung, in Tyrol , 2993: 



Nauders 4 165 



Reschen Scheideck* 4596 



Mais 3309 



Glums in Etschdal 2/56 



St. Maria Munsterthal 4345 



Ossen Scheideck, in the Munsterthal, by the En-\ x-qia 



gadiuy at Zernetz 3 



Article IV. 



Account of an Arithmetical Machine lately discovered in the College 

 Library of Edinburgh. By W. A. Cadtll, Esq. F.R.S. 



NicoLO Tartaolia, in liis Treatise on Arithmetic, published 

 in 1526, amongst other methods of performing multiplication, 

 gives one which he illustrates by the following example, where the 

 product of 4567 hy 326 L required : — 



• Tliis is probnlily the lowest pass through the Aljis, (hoiiph th«? Orlrf/r, and the 

 ke aiouiiluin of Otztha'c^, arc not far ott'. it litretcht's from the Innt/iale, along 

 Ibe valley of the K(iich, and follonii theeentral chain uf (bu Wpi. 

 1 



