. The Decorator's assistant. itsname in the following table :— No. ofsides. Names. Multipliers. 3 Trigon, or equilateial triangle 4 Tetragon, or square 5 Pentagon 6 Hexagon ... 7 8 Octagon ... 9 Nonagon ... .. ^ 10 Decagon ... 11 Undecagon 12 Dodecagon Example,—Required the area of a regularhexagon, one of whose sides is 40 ft. ? 40 40 1600 1600 sq. of side. 4156,921600 area. PROBLEM IX. To find the area of a figure which is boundedby straight lines and curves. Measure the perpendicu


. The Decorator's assistant. itsname in the following table :— No. ofsides. Names. Multipliers. 3 Trigon, or equilateial triangle 4 Tetragon, or square 5 Pentagon 6 Hexagon ... 7 8 Octagon ... 9 Nonagon ... .. ^ 10 Decagon ... 11 Undecagon 12 Dodecagon Example,—Required the area of a regularhexagon, one of whose sides is 40 ft. ? 40 40 1600 1600 sq. of side. 4156,921600 area. PROBLEM IX. To find the area of a figure which is boundedby straight lines and curves. Measure the perpendicular breadths of thefigure in several places, equi-distant from eachother, and divide the sum of these measureddistances by their number; the quotient thusobtained being multiplied by the length willgive an approximate value of the area. Example.—The perpendicular breadths ofthe irregular figure a b c d at five equi-distantplaces, A, p, Q, R, B, are 4^, 9\, 6|, lOl, and7 ft.; what is the area, supposing a b equal to20?. 371 = 151 ft., Ans.(To be continued.) THE DECORATOR S ASSISTANT.


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