Is to the difference of longitude:
So is radius
To the tangent bearing.
Bearing is also the situation of any distant object, estimated from some part of the ship according to her position. In this sense, an object so discovered, must be either ahead, astern, abreast, on the bow, or on the quarter.
These Bearings, therefore, which may be called mechanical, are on the beam, before the beam, abaft the beam, on the bow, on the quarter, ahead, or astern. If the ship sails with a side-wind, it alters the names of such bearings in some measure, since a distant object on the beam is then said to be to leeward, or to windward; on the lee quarter, or bow; and on the weather quarter or bow.
Bearing-up, or Bearing-away, arriver, in navigation, the act of changing the course of a ship, in order to make her run before the wind, after she had sailed some time with a side-wind, or close-hauled: it is generally performed to arrive at some port under the lee, or to avoid some imminent danger occasioned by a violent storm, leak, or enemy in sight.
This phrase, which is absurd enough, seems to have been derived from the motion of the helm, by which this effect is partly produced; as the helm is then borne up to the windward, or weather side of the ship. Otherwise, it is a direct contradiction in terms, to say that a ship bears up, when she goes before the wind; since the current of the wind, as well as that of a river, is always understood to determine the situation of objects or places within its limits. In the first sense we say, up to windward and down to leeward; as in the latter we say, up or down the river. This expression, however, although extremely improper, is commonly adopted in the general instructions of our navy, printed by authority, instead of bearing down, or bearing away.
BEATING, in navigation, the operation of making a progress at sea against the direction of the wind, in a zig-zag line, or traverse, like that in which we ascend a steep hill. As this method of sailing will be particularly explained under the term Tacking, the reader is referred to that article.
To BECALM, derober, (from calme, Dut.) to intercept the current of the wind, in its passage to a ship, with any contiguous object, as a shore above her sails, a high sea behind, or some other ship. At this time the sails remain in a state of rest, and are consequently deprived of their power to govern the motion of the ship.
BECKETS, bille, imply in general any thing used to confine loose ropes, tackles, oars, or spars, in a convenient place, where they may be disposed out of the way till they are wanted. Hence, beckets are either large hooks, or short pieces of rope, with a knot in one end and an eye in the other, or formed like a circular wreath; or they are wooden brackets; and, probably, from a corruption and misapplication of this last term, arose the word becket, which seems often to be confounded with bracket.