Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
string hanging from two points under the action of gravity,P any other point, AO the length of string whose weight isequal to the tension of the string at A. Take a point B in OA^and let OM^ BC drawn horizontally meet a vertical PM mM and a If a string pass round smooth pegs at APGB, it is… … Also, since BDG will hang symmetrically, the tensions ofthe string at B and C will be equal, and BDG may be removedand replaced by equal lengths BO^ CM of the string, withoutdisturbing the equilibrium of AP^ therefore the tension of thecatenary at P is equal to the weight of a string of length PM.…
Mechanics · Celestial mechanics
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