A treatise on surveying ; in which the theory and practice are fully explained (1860)
Alsop, Samuel · Philadelphia, E. C. & J. Biddle & co. · leaf 301
online. For, as was demonstrated, (Art. 404,) ABCD = HCD,CHI : CLD :: m : n.GCI = GEF;ICD = EFDC,and HCI = ABEF: whence ADEF : FECD and But (lemma) m : n. Fig. 197. If the division lineis to be parallel to theshorter side AB (Fig.19T.) Draw CK paral-lel to AB, and take GFa mean proportionalbetween… … Sec. II.] DIVISION OF LAND. 299 Calculation.First Method.—Find, as in the preceding articles, GHand GI. Then GF = v/GI.GD, or= </GI.GK. Second Method.—Draw xy (Fig. 196) parallel to EF, so asto make Gxy = GAB, or Gxy = GCD, (Fig. 197.) Then weshall have sin. E. sin. F : sin. A. sin. B :: AB2:…
Surveying
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