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A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects (1852)

Robinson, Horatio N[elson], 1806-1867. [from old catalog] · Cincinnati, J. Ernst · leaf 136

An illustration from A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects, 1852, leaf 136
oportional product, and the areas of the triangles are as m, n, p. Case 2. By lines parallel to one of the sides. Let ABO be the triangle. Divide itsnumerical area into three parts in the ratioof m, n, p. Conceive the problem solvedand BE, EG, the division lines parallelto AB. We are to determine… … Whence, x=a,</ m m-\-n-\-p In the same manner, m-\-n 9—\/i m-f-n-jrp In this manner we might divide the triangle into any proposednumber of parts, having given ratios. Case 3. By lines drawn from a given point on one of the sides ofthe triangle. 132 SURVEYING. Let ABC be the given triangle, and…

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