Confining ourselves to one rectangular system, we find Four axes of symmetry for the Tetrahedrons and Three for Cube and Octahedron. Thus there are really 73 principal lines in the complete system defined by the 39 points. A study of the three principal orthographic projections shows that the circle should be divided into 3, 4, 5, 6, parts, and the products of these, or 360 degrees. Certain angles are found in abundance, such as 36, 60, 72, 90, 108, 144; and their combinations and products by 10 and 12, and their multiples, give figures bearing a strong resemblance to the various cyclic periods of eastern chronology. Periodic orbits are vibrations on a large scale. Twice the perimeter of an Icosahedron-face divided by the perimeter of a Dodecahedron-face is 3.1416, the value of π used in all ordinary scientific and constructional work. The actual error is so small that if both were accurately made of copper at the same temperature, the Icosahedron-face would only have to be brought rather more than one degree Fahrenheit below the temperature of the other for the π value to be absolutely correct. Accuracy of this sort is unattainable outside of specially equipped laboratories. So the Pythagorean solids may be said to "square the circle." THE "BLACK AGE": by Ariomardes Let us imagine a romance, such as most people must have heard, wherein some royal child is stolen away and reared amidst peasants in ignorance of his birth; and where some wise man comes and reveals to the youth the secret of his parentage. The young man forthwith steps out from his lowly life, and clothed in a new self-respect, begins to acquit himself worthily of his origin and destiny. Thus has Theosophy declared to outcast humanity, "Thou art the king's son"; and in proof it has referred him to his ancestry. This is why H. P. Blavatsky, pointing out in the skein of history certain clues which scholars have hitherto overlooked, started that greater enthusiasm for archaeology which since her day has already borne such wonderful fruit. In a dark age there is the danger that man might forget his divine origin altogether. The revelations of archaeology confirm the teachings of Theosophy that before the dark age of our historical period set in, there were brighter ages; and by showing what man has been, they are indicating what he may again be in the future. The epochs and durations of the various ages are not uniform all over the earth, so that it cannot be said that the black age began, for the earth generally, at any definite time. The ancient Hindûs have their own chronology, showing the dates of the different ages for their race. We find in a very ancient work, the _Vishnu-Purâna_, a prophecy of the characteristics of Kali-Yuga or the "Black Age," from which the following extracts are taken: