A complete treatise on practical land-surveying, in seven parts; . B Here 5a. 2r. 20p. =562500 square links; and *J562500 =750 links, the side of the square. This, divided by 3, the num-ber of parts, gives 250 links, the distance at which the first di-vision-fence must be placed from A B, &c. From A and B,therefore, set off 250 links to E and F; join E F, and the rect-angle A B F E, will be one of the parts required. u 2 292 land-surveying. (Part VI. Again, from E and F set off 250 links to G and H ; joinG H, and the rectangles E F G H, and G H C D will be thetwo other parts required. 2. Divid
A complete treatise on practical land-surveying, in seven parts; . B Here 5a. 2r. 20p. =562500 square links; and *J562500 =750 links, the side of the square. This, divided by 3, the num-ber of parts, gives 250 links, the distance at which the first di-vision-fence must be placed from A B, &c. From A and B,therefore, set off 250 links to E and F; join E F, and the rect-angle A B F E, will be one of the parts required. u 2 292 land-surveying. (Part VI. Again, from E and F set off 250 links to G and H ; joinG H, and the rectangles E F G H, and G H C D will be thetwo other parts required. 2. Divide ABCD representing a rectangular field, whoselength is 1500, and breadth 800 links, among three men, A, B,and C, by fences parallel to the side A D, so that A may have3a. B 4a. and C the F H C. EG B Here 3a. = 300000 square links, which divided by 800,gives 3? 5 links = A E or D F : hence the rectangle A E F Dcontains As share. Again, 4a. = 400000 square links, which divided by 800,gives 500 links — E G or F H : hence the rectangle E G H Fcontains Bs share. Xow, the rectangle A B C D, is found to contain 12a. ; con-sequently, the rectangle GBCH containing 5a. is Cs share. Note.—This and similar examples may also be performed by the followingproportion : As the area of the whole rectangle is to the whole base, or sidecut by the division-fences, so is each persons share of the rectangle to hisshare of the base. PROBLEM II. To divide a triangular Field, either equally or unequally, amongany Number of Persons, by Fences made from any of itsA nales to the opposite >Rule.—If the parts, into which the field is required to be Section II) land-surveying. 293 divided, be equal, divide the base, or side to which the division-fences are to be made, by the number of those parts,
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