Plain surveying means the survey in which earth surface is considered as to be flat or plain i.e. its curvature is ignored.
Geodetic survey is the survey in which curvature of the earth is taken into count and then surveying is done.
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In plane survey a line joining any two points is considered straight while in geodetic survey the line joining two points is considered as a curved line
Plane survey is suitable for small areas while geodetic survey is suitable for large
There are two general types of land surveying: plane and geodetic. Plane surveying considers the earth to be a flat surface--a plane, which works well for jobs spanning a short distance (a few miles), because calculations are relatively simple. Surveys of this nature account for much of survey work being done. Geodetic surveying takes into account the true shape of the earth. These surveys are usually of a very large scale and most often performed by government agencies. GPS is capable of automatically giving geodetic positions (within certain qualifiers), though a thorough understanding of the principals of geodesy is necessary to adequately design and conduct a geodetic survey.
It is something like the difference between ship, car and air-plane: they are hardly similar in any aspect.
In plane truss, both the truss structure and the applied loads lie in the same plane. In space truss, either the structure or the loads or both lie in different planes.
Most of the engineers thinking that plot plane is for offshore and equipment layout is for onsite but this is not the case..
An Airbus is a jet plane manufactured by Airbus.