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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 162

An illustration from A complete and practical solution book for the common school teacher, 1899, leaf 162
es? Solution. (1) Let ABC be the triangle, and AG the square ofthe hypothenuse, ASthe square of the alti-tude, and AK the .squareof the base. (2) The rectangles nn and AX, etc., are equal. (3) The two rectangles nn and the three squaresaaa = the square onthe base. (4) The square of the base — nn! =… … FIG. 18. 148 FAIRCHILDS SOLUTION BOOK. (6) Then by Fig. 19, let WZ be a straight line equal to thedifference of the sides ofthe rectangle k. (7) Upon WZ as a diameter de- scribe a circle, and at theextremity of the diameterdraw the tangent WF equalto the side of a square hav-ing the same area as…

Arithmetic · Geometry

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