The author gave, in continuation of a former paper (see Proceedings of the Royal Society of Edinburgh, 3d Dec. 1838), an account of the continued systematic prosecution and annual reduction of the observations of temperature at different depths (3, 6,12, and 24 French feet) below the surface of the ground, in various geological formations near Edinburgh, viz. the trap rock of the Calton Hill, the incoherent sand of the Experimental Garden, and the coal formation sandstone of Craigleith Quarry. The weekly observations at all these stations have been projected into curves, which present the most remarkable concordance of general features for the four years now complete, and give a just confidence in the comparability of the results obtained. The thermometric readings have all been rigorously corrected for the expansion of the alcohol in the tubes; and, starting from these data, the results in the following tables have been obtained, partly by graphical methods, partly by calculation.