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 214
revolution was completed, return to that spot again. It does MENSURA TION. 199 not so return; but when having- completed, its revolution, it afreshtouches the road, it is at an advanced point in it compared with thespot at which it before came into contact with it. 98. Now, if thecircle OP rolls… … FIG. 80. But AF=arc PF^rvers1 J-. DF=PL=VBL . LF. /vers it equation. dx _ ydy~ \l% -DF = rvers ■lr ■it ■\j2ry—y1, which is the .-. S=V2r f (2r—y) *dy =J o 4r, which is \ the cycloidal arc. :ry—y ( i i \2; (— 2(2r)2(2r—yY) The length of the branch AHX is eight times the radius,and the area of AHX is…
Arithmetic · Geometry
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
