A complete treatise on practical land-surveying, in seven parts; . ,CF = 508,and F H = 468 links, which distances must be measured in thefield, in order to determine the situations of the division-fences. B02 LAXD-SUKVEYIXG, (Part VI. Note.—If we subtract the area of the triangle B C E, from the quantity towhich each person is entitled, and divide the remainder by half the line C E,the quotient will be the perpendicular of the triangle C E F. By drawing aline parallel to C E, at the distance of this perpendicular, the point F may bedetermined. In a similar manner, may be parted off the trapezi
A complete treatise on practical land-surveying, in seven parts; . ,CF = 508,and F H = 468 links, which distances must be measured in thefield, in order to determine the situations of the division-fences. B02 LAXD-SUKVEYIXG, (Part VI. Note.—If we subtract the area of the triangle B C E, from the quantity towhich each person is entitled, and divide the remainder by half the line C E,the quotient will be the perpendicular of the triangle C E F. By drawing aline parallel to C E, at the distance of this perpendicular, the point F may bedetermined. In a similar manner, may be parted off the trapezium E F H G. 2. Divide a field, -whose dimensions are contained in the fol-lowing notes, among three persons, A, B, and C, so that eachpartaking of a pond at P, A may have 3a. B 4a. and C the remainder. BD 1447 Diag. 1000 R. offB. EB 1603 Diag. 1000 ft. off E. CE 1300 Diag. 1000 R. off C, AC 1320 Diag. 1000 700 Pond. R. off A. E A 750 R. offE. DE 650 R, offD. CD 850 R. off C. BC 800 R. offB. — Section II.) land surveying. 303 Begin AB 1200 1000 at A. Range From the pond P, draw the line P D, and also the gness-lineP m, which suppose = 558 links; then will the diagonal D mhe = 1025, the perpendicular Par: 400, and C a = 195 links :hence, the area of the trapezium P m C D is found = 304937square links, which exceeds As share by 4937 square divided by 279 (half the guess-line) gives links, to beset off from m toward C ; consequently, P F is the true line ofdivision, and the trapezium P F C D contains As share. Again, draw the guess-line P n, which suppose. = 696 links ;then, the diagonal P E will be = 848, the perpendicular n a =247, and D a = 552 links : hence, the area of the trapezium P nE D, is found = 338776 square links, which is less than Bsshare, by 61224 square links. This divided by 348 (half theguess-line) gives 176 links, to be set off from the line P n per- 304 LAND-SUB TRYING. PmWt VI. pendicularlr toward A iie true line of nd the trapezium P G
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