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 184
der. PROBLEM 354. On the three sides of any plane triangle construct equilateral*;join the centers of these triangles; prove that the resulting triangle Isequilateral. Solution. (1) Let ABC be any tri- angle, having theequilateral trianglesABK.BDCandACEdescribed on AB,BC and CA. (2) Let G, H, F be… … FIG. 47. AC, to intersect AF if produced, in S. 170 FAIRCHIL&S SOLUTION BOOK. (5) AS passes through F; then it bisects /FAC, which makes ZXAC = 30°. (6) In like manner angle QCA=30°, from this it is easy to see that SFP is an equilateral, and angle FPH=120°. (7) .\ FGHP is a quadrilateral and…
Arithmetic · Geometry
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