. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . e force G, which fuftainsthis compounded force, muft be equal thereunto, and will have the fame power to turn the lever fromwhich-ever arm it bangs, provided the diftance of itsline of direction from the fulcrum remains the it muft appear difficult to admit this fuppofition;when weconlider that the weight carl-exert its wholeforce to turn the lever only on that arm which is
. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . e force G, which fuftainsthis compounded force, muft be equal thereunto, and will have the fame power to turn the lever fromwhich-ever arm it bangs, provided the diftance of itsline of direction from the fulcrum remains the it muft appear difficult to admit this fuppofition;when weconlider that the weight carl-exert its wholeforce to turn the lever only on that arm which is the fhorteft, and is parallel to the horizon, and on which muft act in a contrary direction ; therefore the forceit icts perpendicularly; and that the force which it G muft act in the direction of the line C B. Fromexerts, or with which it ads perpendicularly, on any the point B draw B H and B K perpendicular to theene of the oblique arms, muftbeinverfely as the length directions of the forces E and F, and draw B M andof that arm, which is evident from the refolution of B N parallel to thefe directions, forming the pa*force?, rallelogram BMCiN; then, thefe three forces S- are MECHANICS Male CCL2XX0I. #£/< /;•//;/ /-? . ? ? Sett. II. M E C H Mechanical are in equilibrio, they muft be to each other refpec-Ji^^_ ttvely as the fides and diagonal of this parallelogramto which their directions are parallel; therefore E isto F as CM to CN or MB, that is, (becaufe thefides of a triangle are as the fines of the oppofiteangles) as the line of theangle MBC, or its alter-nate one BCN, to the line of the angle BCM ; batmaking CB the radius, BK is the fine of the formerangle, and BH of the latter ; therefore E is to F asBK to BH ; fo that the forces E and F are to eachother inverfely as the perpendicular diftances of theirlines of direction from the point B, on which the thirdforce G acts. Now to compare the forces F and Gtogether: From the point A, on which the third forceacts,
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