Vietnam or Thailand ? Vote for the TOP Country of the Week !
Updated: May 14, 2025
I looked up and saw numbers of people running towards a certain spot. I leapt up and ran too. A diamond had been found, and around the lucky finder an excited and curious crowd soon collected. The stone, a clear yellow octahedron of about ten carats' weight, was passed from hand to hand to be admired and appraised.
Now, a year or so ago, I had occupied my leisure in taking a London science degree, so that I have a smattering of physics and mineralogy. The thing was not unlike an uncut diamond of the darker sort, though far too large, being almost as big as the top of my thumb. I took it, and saw it had the form of a regular octahedron, with the curved faces peculiar to the most precious of minerals.
Pythagoras, that the world was formed of five solid figures which are called mathematical; the earth was produced by the cube, the fire by the pyramid, the air by the octahedron, the water by the icosahedron, and the globe of the universe by the dodecahedron. In all these Plato hath the same sentiments with Pythagoras.
The second solid is composed of the same triangles, which unite as eight equilateral triangles, and make one solid angle out of four plane angles six of these angles form a regular octahedron. The third solid is a regular icosahedron, having twenty triangular equilateral bases, and therefore 120 rectangular scalene triangles.
Just then a certain kind of "sell" was often practiced. One would cut a piece of alum into the ordinary octahedron form and scrape it so as to round off the edges. Such a production would make a capital imitation of a white, frosted stone.
Now Cyrus Harding wanted iron, and he wished to obtain it as soon as possible. The ore which he had picked up was in itself very pure and rich. It was the oxydulous iron, which is found in confused masses of a deep gray color; it gives a black dust, crystallized in the form of the regular octahedron.
The form of the crystal in cast iron is the octahedron, so that right angles with sharp corners should be avoided as much as possible in castings, as the most likely position for a crystal to take would be with its faces along the line of the angle. Steel, to be of any value as such, must be made of the purest material.
It will not be hard to draw a cube or an octahedron in this way; indeed, the first stereoscopic figures were pairs of outlines, right and left, of solid bodies, thus drawn. But the minute details of a portrait, a group, or a landscape, all so nearly alike to the two eyes, yet not identical in each picture of our natural double view, would defy any human skill to reproduce them exactly.
From the Platonic system it therefore followed that science is impossible to man, and possible only to God; that, however, recollecting our origin, we ought not to despair, but elevate our intellectual aim as high as we may; that all knowledge is not attributable to our present senses; for, if that were the case, all men would be equally wise, their senses being equal in acuteness; but a very large portion, and by far the surest portion, is derived from reminiscence of our former states; that each individual soul is an idea; and that, of ideas generally, the lower are held together by the higher, and hence, finally by one which is supreme; that God is the sum of ideas, and is therefore eternal and unchangeable, the sensuous conditions of time and space having no relation to him, and being inapplicable in any conception of his attributes; that he is the measure of all things, and not man, as Protagoras supposed; that the universe is a type of him; that matter itself is an absolute negation, and is the same as space; that the forms presented by our senses are unsubstantial shadows, and no reality; that, so far from there being an infinity of worlds, there is but one, which, as the work of God, is neither subject to age nor decay, and that it consists of a body and a soul; in another respect it may be said to be composed of fire and earth, which can only be made to cohere through the intermedium of air and water, and hence the necessity of the existence of the four elements; that of geometrical forms, the pyramid corresponds to fire, the cube to earth, the octahedron to air, these forms being produced from triangles connected by certain numerical ratios; that the entire sum of vitality is divided by God into seven parts, answering to the divisions of the musical octave, or to the seven planets; that the world is an animal having within it a soul; for man is warm, and so is the world; man is made of various elements, and so is the world; and, as the body of man has a soul, so too must the world have one; that there is a race of created, generated, and visible gods, who must be distinguished from the eternal, their bodies being composed for the most part of fire, their shape spherical; that the earth is the oldest and first of the starry bodies, its place being in the centre of the universe, or in the axis thereof, where it remains, balanced by its own equilibrium; that perhaps it is an ensouled being and a generated god; that the mortal races are three, answering to Earth, Air, and Water; that the male man was the first made of mortals, and that from him the female, and beasts, and birds, and fishes issued forth; that the superiority of man depends upon his being a religious animal; that each mortal consists of two portions, a soul and a body their separation constitutes death; that of the soul there are two primitive component parts, a mortal and an immortal, the one being made by the created gods, and the other by the Supreme; that, for the purpose of uniting these parts together, it is necessary that there should be an intermedium, and that this is the dæmonic portion or spirit; that our mental struggles arise from this triple constitution of Appetite, Spirit, and Reason; that Reason alone is immortal, and the others die; that the number of souls in the universe is invariable or constant; that the sentiment of pre-existence proves the soul to have existed before the body; that, since the soul is the cause of motion, it can neither be produced nor decay, else all motion must eventually cease; that, as to the condition of departed souls, they hover as shades around the graves, pining for restoration to their lifeless bodies, or migrating through various human or brute shapes, but that an unembodied life in God is reserved for the virtuous philosopher; that valour is nothing but knowledge, and virtue a knowledge of good; that the soul, on entering the body, is irrational or in a trance, and that the god, the star who formed its created part, influences its career, and hence its fortunes may be predicted by astrological computations; that there are future rewards and punishments, a residence being appointed for the righteous in his kindred star; for those whose lives have been less pure there is a second birth under the form of a woman, and, if evil courses are still persisted in, successive transmigrations through various brutes are in reserve the frivolous passing into birds, the unphilosophical into beasts, the ignorant into fishes; that the world undergoes periodical revolutions by fire and water, its destructions and reproductions depending upon the coincidences of the stars.
From these, the transition may naturally be made to such modified forms of the regular bodies as are met with in crystals the truncated cube, the cube with its dihedral as well as its solid angles truncated, the octahedron and the various prisms as similarly modified: in imitating which numerous forms assumed by different metals and salts, an acquaintance with the leading facts of mineralogy will be incidentally gained.
Word Of The Day
Others Looking