. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. , and by the twotriangles, PEB and BPF, we determine y in precisely the manneras we found x : thus, we have two parts of the triangle mc and pc,and, consequently, the remainder DP EC corresponds to nc. Case 5. By lines -drawn from a given point without the triangle. Let AB C be the triangle, andP the given point without it. Divide the numerical area ofthe triangle into the three re-quired parts, mc, nc, and pc, asin former cases. Draw PD,cutting off the portion mc,
. A treatise on surveying and navigation: uniting the theoretical, the practical, and the educational features of these subjects. , and by the twotriangles, PEB and BPF, we determine y in precisely the manneras we found x : thus, we have two parts of the triangle mc and pc,and, consequently, the remainder DP EC corresponds to nc. Case 5. By lines -drawn from a given point without the triangle. Let AB C be the triangle, andP the given point without it. Divide the numerical area ofthe triangle into the three re-quired parts, mc, nc, and pc, asin former cases. Draw PD,cutting off the portion mc, asin Case 6 of the last problem;then cut off the two portions ( mc-\-nc ) by the line AG: and theportion pc will be left. Or, we may cut off pc, and the portion ncwill be left. PROBLEM III. To divide a triangle into three parts, having the ratio of m, n, andp, by three lines drawn from the three angular -points to some pointwithin. Divide any side, as A C, into threeparts in the proportion of m, n,and p. Let Aa represent the portion cor-responding to m, and Cc the part cor-responding to p. Through a, draw ab parallel to AB,.
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Keywords: ., boo, bookcentury1800, booksubjectnavigation, booksubjectsurveying
