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 200
far from the center must achord be drawn parallel! to divide the semicircle into two equal parts? Solution. (1) Let ADB be the semicircle, AB the diameter, GH the line thatdivides the semicircle into twoequal parts. (2) On OD, perpendicular to AB, let OF=;t, the distance required,and 0=angle HOB.… … FIG. 67. (8) Transposing and reducing we have sin20-|-20 2* (9) We will find the value of 0 by double position, and it isfound as follows: (10)(ID Let 0=2Oo=<r for first trial. 2tT TV =o« or 9 . sin40 .64279. (12) .-. .64279= .87267. (13) .87267—.64279=.22988llir90- si n40°=^-=. 87267,lo but…
Arithmetic · Geometry
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