shown, and the duads in _e_ and _e'_--from _i_ and _j_ of E 3--are given in the same way. When all these bodies are raised to E 1, the ultimate physical atoms are set free, identical, of course, with that previously described. Reckoning up the number of ultimate physical atoms in a chemical atom of nitrogen we find they amount to 261, thus divided:-- 62 + bodies with 2 ultimate atoms, 62 x 2 = 124 24 - " " 2 " " 24 x 2 = 48 21 - " " 3 " " 21 x 3 = 63 2 + " " 3 " " 2 x 3 = 6 2 + " " 4 " " 2 x 4 = 8 2 + " " 4 " " 2 x 6 = 12 ---- 261 This again approaches closely the weight-number assigned to nitrogen:-- 261 / 18 =14.44 + This is interesting as checking the observations, for weight-numbers are arrived at in so very different a fashion, and especially in the case of nitrogen the approximation is noteworthy, from the complexity of the bodies which yield the number on analysis. Some other observations were made which went to show that as weight-numbers increased, there was a corresponding increase in the number of bodies discerned within the chemical atom; thus, gold showed forty-seven contained bodies; but these observations need repetition and checking. Investigation of a molecule of water revealed the presence of twelve bodies from hydrogen and the characteristic snake of oxygen, the encircling walls of the chemical atoms being broken away. But here again, further observations are necessary to substantiate details. The present paper is only offered as a suggestion of an inviting line of research, promising interesting results of a scientific character; the observations recorded have been repeated several times and are not the work of a single investigator, and they are believed to be correct so far as they go. THE PLATONIC SOLIDS. Some of our readers may be glad to have a drawing of the Platonic solids, since they play so large a part in the building up of elements. The regular solids are five, and five only; in each: (1) The lines are equal. (2) The angles are equal. (3) The surfaces are equal. [Illustration] It will be seen that the tetrahedron is the fundamental form, the three-sided pyramid on a triangular base, _i.e._, a solid figure formed from four triangles. Two of these generate the cube and the octahedron; five of these generate the dodecahedron and the icosahedron. The rhombic dodecahedron is not regular, for though the lines and surfaces are equal, the angles are not. NOTES. Mr. C. Jinarâjadâsa[1] writes: