In proportion as we recede from the earth the action of gravitation diminishes in the inverse ratio of the square of the distance
; that is to say, at three times a given distance
the action is nine times less.
Computing the distance
between the thirty-first and forty-fifth degrees, it amounts to nine hundred and seventy-three common miles; computing it from thirty-one to forty-two degrees, to seven hundred and sixty-four miles and a half.
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.
I should never have considered the distance
as one of the ADVANTAGES of the match," cried Elizabeth.
It must have been a half hour after their coming that Tarzan caught in the distance
along the trail the sound of footsteps approaching.
Belfast, director of the Cambridge Observatory, and reached the station of Long's Peak, where the telescope was erected which brought the moon within an apparent distance
of two leagues.
Then she would wish that she were something better, that she were not quite so poor and humble, that she dared address her without fearing a repulse; and then feel that there was an immeasurable distance
between them, and have no hope that the young lady thought of her any more.
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."
They went on for some distance
on a level road, fairly wide, from which the green light was visible.
Kutuzov merely shrugged his shoulders when one after another they presented projects of maneuvers to be made with those soldiers- ill-shod, insufficiently clad, and half starved- who within a month and without fighting a battle had dwindled to half their number, and who at the best if the flight continued would have to go a greater distance
than they had already traversed, before they reached the frontier.
The three men in the wagon kept a short distance
in the rear, giving him occasional friendly "chaff" or encouragement, as the spirit moved them.
I remember--and tell it here because, singularly enough, I recollected it then--that once in looking carelessly out of an open window I momentarily mistook a small tree close at hand for one of a group of larger trees at a little distance