If a number of equal spheres be described with their centres placed in two parallel layers; with the centre of each sphere at the distance of radius x sqrt(2) or radius x 1.41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in the other and parallel layer; then, if planes of intersection between the several spheres in both layers be formed, there will result a double layer of hexagonal prisms united together by pyramidal bases formed of three rhombs; and the rhombs and the sides of the hexagonal prisms will have every angle identically the same with the best measurements which have been made of the cells of the hive-bee.
We must suppose the Melipona to arrange her cells in level layers, as she already does her cylindrical cells; and we must further suppose, and this is the greatest difficulty, that she can somehow judge accurately at what distance to stand from her fellow-labourers when several are making their spheres; but she is already so far enabled to judge of distance, that she always describes her spheres so as to intersect largely; and then she unites the points of intersection by perfectly flat surfaces.
Them Hurons have never a piece in their nation that will execute at this distance
; but 'killdeer' has a barrel on which a man may calculate."
As to the second question, "What is the exact distance
which separates the earth from its satellite?"
A fourth and still more important consideration is, that as almost every State will, on one side or other, be a frontier, and will thus find, in regard to its safety, an inducement to make some sacrifices for the sake of the general protection; so the States which lie at the greatest distance
from the heart of the Union, and which, of course, may partake least of the ordinary circulation of its benefits, will be at the same time immediately contiguous to foreign nations, and will consequently stand, on particular occasions, in greatest need of its strength and resources.
Where there is fortune to make the expenses of travelling unimportant, distance
becomes no evil.
A short distance
beyond the point at which they had surrounded him, Tarzan came to the trail again and sought for the spoor of Bertha Kircher and Lieutenant Smith-Oldwick.
Then it showed that the distance
separating the projectile from the lunar surface "might" be reckoned at about 2,833 miles.
Their plain and simple dress, the distance
which the child had come alone, their agitation and delight, and the tears they shed, would have told their history by themselves.
There was light enough to see by, though not sufficient to distinguish things at a distance
. Adam's eyes sought the green light in the sky.
At a distance
of less than thirty yards was my friend, down upon one knee, his head thrown back at a frightful angle, hatless, his long hair in disorder and his whole body in violent movement from side to side, backward and forward.
I looked for my friend Ghak, the Hairy One, king of Sari, and presently I saw him coming from a distance
. Ah, but it was good to see his mighty, hairy form once more!
At some little distance
in front of the whole, marched the individual, who, by his position and air, appeared to be the leader of the band.
Charles, a short distance
above the mouth of the Missouri.
When I was at some distance
from the pirates, I discovered, by my pocket-glass, several islands to the south-east.