A complete treatise on practical land-surveying, in seven parts; . 61155200 . By the mode described in the last example, determine thepoint E, which you will find at the distance of 658 links fromthe angle B; measure this distance in the field, from B to E,and proceed as before. t3 278 land-surveying. (Part VI. 3. From a triangular field, whose sides are 1500, 1200, and1000 links respectively, part off 3a. 2r. 16p. by a fence madefrom the greater angle at the base, to the opposite side. Ans. The perpendicular of the triangle required, is found tobe 480 links ; and it rises upon the
A complete treatise on practical land-surveying, in seven parts; . 61155200 . By the mode described in the last example, determine thepoint E, which you will find at the distance of 658 links fromthe angle B; measure this distance in the field, from B to E,and proceed as before. t3 278 land-surveying. (Part VI. 3. From a triangular field, whose sides are 1500, 1200, and1000 links respectively, part off 3a. 2r. 16p. by a fence madefrom the greater angle at the base, to the opposite side. Ans. The perpendicular of the triangle required, is found tobe 480 links ; and it rises upon the base, at the distance of 537links from the less angle. PROBLEM XIV. To part from a Triangle, any proposed Quantity of Land, by aLine parallel to any one of its Sides. Rule.—The areas of similar triangles are to one another inthe duplicate ratio of their homologous sides : hence, as the areaof the triangle A B C is to the square of the side A C, or B C,so is the area of the triangle D E C to the square of the sideDC or E C respectively. (See Theo. 13, Part I.). EXAMPLES. 1. Suppose the base A B = 1200, the side A C = 1000, andthe side B C = 800 links; part off 1a. 2r. 16p. by the lineD E parallel to A B. From the three sides, by Note 4, Part IV., we find the areaof the triangle. ABC = 396863 square links. And, I a. 2r. 16p. = 160000 square links. The difference = 236863, the area of the triangle DEC. Section I.) land-surveying. 279 Then, as 3968G3 : 1000 X 1000 :: 236863 : ; andV59683^20= links =DC; hence 1000 - Again, as 396863 : 800x800 :: 236863 : ;and v/381976*45 = 618 links = EC; then 800-618 = 182links = B E. Measure, therefore, in the field, links from A to D ; andfrom B to E measure 182 links; stake out the line D E, andthe work will be completed. 2. From a triangular field, whose sides are 1800, 1500, and1200 links respectively, part off 3a. 2r. 32p. by a line parallelto the shortest side. Ans. The area of the given t
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