. The American journal of science and arts. departure ; the number of mul-tipliers to be the same with the outlines of the field, a multiplier toeach outline. 5th. Involve each multiplier into the difference of latitude slandingagainst it, and the half sum of the several products thus obtained, willbe the area of the field in square measures of the same denominationin which its sides are measured. The operations of adding and multiplying, are in every case to beperformed algebraically. If the additions for the multipliers aremade correctly, the last multiplier will be equal to the last departu
. The American journal of science and arts. departure ; the number of mul-tipliers to be the same with the outlines of the field, a multiplier toeach outline. 5th. Involve each multiplier into the difference of latitude slandingagainst it, and the half sum of the several products thus obtained, willbe the area of the field in square measures of the same denominationin which its sides are measured. The operations of adding and multiplying, are in every case to beperformed algebraically. If the additions for the multipliers aremade correctly, the last multiplier will be equal to the last departurewith its sign changed. Improvement in Field Surveying. 39 Illustration. Courses. Dist. Dif. lat Dep. Factors ormultipliers. Products orareas. ABBCCDDA AE FC -CG -HA EB-BF-GD HD EB EB+KC -HL* -HD 2AEB 2BEKC 2KHL 2DHA 2|2ABCKLD ABCKLD=ABCD the triangles DLM and MKC being equal.* The first meridian NSpasses through the first sta-tion A. EB,DGandKCare drawn perpendicularto, and FC parallel Calculation. Dist. Factors or Products or Courses. chs. Dif. lat. Dep. multipls. areas. S. 60° E. 2. S. 35° W. - 3. N. 70° W. - 4. bV E. - 2|~ is stated in the article alluded to, that in the common methodof computing the area of a field, a meridian line is supposed to bedrawn at some assumed distance from the commencing it is imagined is incorrect. The most common mode, is toselect for the point of commencement, the extreme East or Weststation of the field. Through this station, the first meridian is madeto pass, and the necessity of an assumed distance is thereby avoid- DL = KC by construction. 40 Origin, Extension and Continuance of Prairies. ed. The advantage of the algebraic process, consists in its simpli-city and in the universality of its application. This results f
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