A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 212
., midway be-tween the poles? Solution. (1) Let DE and PF be the poles; EF=100 ft. (2) Let D and P be the fixed points to which the endsof the rope are attached;the rope will rest in avertical plane. (3) The curve DCP is called the common catenary. (4) Let C be the lowest point of the catenary. (5)… … FIG. 79. 198 FAIRCHIL&S SOLUTION BOOK. (7) Denote the length of the arc CP, by S. (8) Let c be the length of the rope whose weight is equal to the tension at C. (9) Now, if we move the origin to the point, O, at a distance equal to c below C, by putting y—c for y we have y= oKc~f~^ c )» which…
Arithmetic · Geometry
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