a town of Piedmont in Italy, capital of the duchy of the same name, situated about 50 miles north of Turin, in 9° 10' E. long. and 45° 45' N. lat.

APAGOGICAL Demonstration, an indirect way of proof, by shewing the absurdity of the contrary.

APALACHIAN Mountains, a ridge of mountains of N. America, lying westward of the British plantations, and extending from 30° to 40° N. lat.