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A treatise on surveying ; in which the theory and practice are fully explained (1860)

Alsop, Samuel · Philadelphia, E. C. & J. Biddle & co. · leaf 285

An illustration from A treatise on surveying ; in which the theory and practice are fully explained, 1860, leaf 285
BAC .sin. ABC :: AB : AF; that is, As sin. 79° 25 . sin. 61° 55 : sin. 18° 40 . sin. 81°55:: 24.10 : AF = 8.81; FI = V\ AD . AF = 11.13. Then, As AF + FI (19.94) : AF (8.81) :: AB (24.10): AE = 10.64; Or, As AF + FI (19.94) : AF (8.81) :: AD (11.26) : AK= 4.97. CASE 2. 396. The division line to run… … Construction.— TakeAI (Fig. 186) a thirdproportional to BE andAE. Let AK = f AIand AL = BE. DrawLM parallel to BC,cutting AB in E; andKM parallel to AB.Make LO = ME.Join AO, and drawGEH parallel to it.Then the thing is done. Demonstration.—Conceive BC and AL to meet in P. Then we have BE : EA :: EA…

Surveying

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