The personal and habitation tax consists in fact of two different taxes, one imposing a fixed capitation charge on all citizens alike of every department, the charge, however, varying according to the department from I **fc**. 50 c. (Is.

(1); and for the intensity, represented by the square of the amplitude, 1 2 [fJsin f +?2 **fC**? ?

In order to restore the substance to its original temperature 0' at constant pressure, it would be necessary to supply a further quantity of heat, H, represented by the area between the two adiabatics from **FC** down to the absolute zero.

Denoting the areas of the three strips by A, B, and C, and introducing the middle ordinate ug, we can express A + B; B -{- C; A + B -**FC**; and B in terms of uo, u 1, u 2; u 1, u2, u3; uo, u, u 3; and u 1, ug, u 2 respectively.

Resultant tension along the chain at F, the vertical force V passing through the point D, and the horizontal tension at O; hence H: V = DC: **FC** = wx 2 /2 y: wx = x/2.

During 6th and 7th centuries, Irish anchorites, in their "passion fc_ solitude," found their way to the Hebrides, Orkneys, Shetlands, Faroes and Iceland, but they were not interested in colonization or geographical knowledge.

The ordinates give the wave-lengths in, up. The abscissae give **fc** in 0.01 mm., commencing at **fc** fF.