np fester with a burden of lOOJi. weight, than a horse that is loaded with 300/6.; a difference which is owing to the position of the parts of the human body being better adapted to climb than those of a horse. On the other hand, the best way of applying the force of a horse, is in a horizontal direction, wherein a man can exert least force; thus a man weighing 140/6., and drawing a boat along by means of a rope coming over his shoulders, cannot draw above he not only acts with more muscles at once, for overcoming the resistance, than in any other position; but, as he pulls backward, the weight of his body assists by way of lever.Force occeleratire, or Retardice Force, is that which respects the velocity of the motion only, accelerating or retarding it; and it is denoted by the quotient of the motive force, divided by the mass or weight of the body. So, if m denote the motive force, and b the body, or its weight, and/the accelerating or retarding force, then is/as -r. Agaiu, forces are either constant or variable. Constant forces v .« v* Sgt~gf ~igs Forces variable, are such as are continnally changing in their effect and intensity , such as the force of gravity at different distances from the centre of the earth, which decreases in proportion as the square of the distance increases. In feet; then is » = ——. = 11 ; v = ■ *•* In the«e four theorems, the FORCEPS, a pair of nippers, or pinchers, for laying hold of and pulling out any thing forced into another body. Forceps, in surgery, Sec. a pair of Forceps FORCER, or forcing pump, in mechanics, is a kind of pump in which there is a forcer or piston without a valve. See Pump. Forcible entry and detainer. Forcible entry, is a violent actual entry into a house or land, Stc, or, taking a distress of any person, armed, whether he offer violence or fear of hurt to any there, or furiously drive any out of the possession; if one enter another's house, without his consent, al And an indictment will lie at common law for a forcible entry, though generally brought on the several statutes against forcibly entry. The punishment for this offence is by fine and imprisonment. Forcible marriage, if any person FORCING, among gardeners, signifies FORECASTLE, in naval affairs, a short deck placed in the fore-part of the FoRE/oot, in ship-building, a piece of timber which terminates the keel at the tore-end ; it is connected by a scarf to the extremity of the keel, and the other end of it which is incurvatcd upwards into a sort of knee, is attached to the lower end of the stem; it is also called a gripe. Fore foot, in the sea-language, Foreign seamen serving two years on board British ships, whether of war, trade, or privateers, during the time of war, shall be deemed natural born subjects. FORELORN hope, in the military art, signifies men detached from several regiments, or otherwise appointed, to make the first attack in day of battle, or, at a siege, to storm the counterscarp, mount the breach, or the like. They are FOREMAST of a ship, a large, round piece of timber, placed in her fore-part, or forecastle, and carrying the fore-sail and fore-top-sail yards. Its length is usually § of the main-mast. And the foretop-gallant-mast is \ the length of the foretop-mast. See Mast. Foremast men are those on board a ship that take in the top sails, fling the yards, furl the sails, bowse, trice, and take their turn at the helm, &c. FORE reach, in the sea language, a ship is said to fore reach upon another, when both sailing together, one sails better, or outgoeth the other. FORESCHOKE, in our old authors, signifies the same with forsaken, and is particularly used in one of our statutes for lands or tenements FORESKIN, in anatomy, the same with prepuce. See Prepuce. FORE staff, or cross-staff, an instrument used at sea for taking the altitude of the sun, moon, or stars, It is called fore-staff, because the observer, in using it, turns his face towards the object; whereas in using
tliod, belong to 1. To find the fluent of any simple fluxion, you need only write the letters without the dots over them: thus, the j. To assign the fluent of any power of a variable quantity, multiplied by the fluxion of the root ; first divide by the fluxion of the root, add unity to the exponent of the power, and divide by the exponent so increased: for dividing the fluxion ax"-' that of 3x- x=~; that of y \y = » yi; that that of a" +z"!"X s" mx» + l In assigning the fluents of given fluxions, it ought to be considered, whether the flowing quantity, found as above, requires the addition or subtraction of some constant quantity, to render it complete: thus, for instance, the fluent of a **-'*•.Hence it appears, that the variable part of a fluent only can be m X » +1 ter part of the equation becomes wxn+l „mn+m — _-___^; whence the equation or flii «Xn+l ent, properly corrected, is y = a«i_|_ I""!'"!-1 0<nt! + m m fluent first found is y = 5 ; but when y = 0, then - = «, by the hypothesis; therefore the fluent, corrected, is y =9 x> a' —- . Again, suppose y = x" x; x"+' then will y — —Ft! which, corrected, becomes y = r-r-: . And lastly, the fluent of xy +y x = ?* + *?>=-%* = Ij; and the fluent ofxyz -\-y x z -f- z y x _-ry: +rV z-\-ry z _3xyz _ — ii ~ 3 y' But it seldom happens that these kinds of fluxions, which involve two variable quantities in one term, and yet admit of known and perfect fluents, Having thus shewn the manner of finding such fluents as can be truly exhibited in algebraic terms, it remains now to say something with regard to those other forms of expressions involving one variable quantity only; Thus, if it were proposed to find the fluent of , it becomes necessary to throw the fluxion into an infinite series, by dividing a x by a — x: thus, Now the fluent of each term of this series, may be found by the foregoing rules 10 ***+?«+ T*+77>+£?+>*<■ In order to shew the usefulness of fluxions, we shall give an example or two. l. Suppose it were required to divide any given nsrlit line A B into two such parts, A C, Ex. 9. To divide a given number a into two parts, x, >;, so that x" y"1 may be a maximum. given equation, these values of y and z in terms of x, and x -\- 2 x -f- 3 x = a, or 6 x = a hence, x = - a; .". y = - a ; z z= - a. In like manner, whatever be the number of unknown quantities, make any one of |