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Survey mathematics generally consists of applications of formulas and equations that have been adapted to work toward the specific needs of the surveyor such as: • Units of measurement and conversions • Check and adjustment of raw field data • Closure and adjustment of survey figures • Calculations for missing elements of a figure
Azimuth, Angles, & Bearings. Angles: If one bearing is in the NE and the other is in the SE or (NW and SW), add the two together and subtract the sum from 180°. 180°-(N15°50’25”W+S 20°10’15”W)=143°59’20”. Coordinate Geometry.
Overview: Capable of basic plane survey computations, area calculations, and point manipulations. Point import and export possible. Automatic sketches provided for cogo operations.
Q-Cogo was developed as a free, accessible way of solving land survey computations. Anyone can use Q-Cogo. It is aimed at land surveying and geomatics engineering students, and others wanting to do surveying computations without expensive coordinate geometry software.
Coordinate transformations are used in surveying and mapping to transform coordinates in one "system" to coordinates in another system, and take many forms. For example. sphere or ellipsoid, to rectangular (or Cartesian) coordinates on a plane.
surveyors emphasize mathematical concepts and principles rather than computation. This will include overview of General surveying: geometry, trigonometry, pre-calculus, error theory, and analysis; Boundary surveying: geometry, trigonometry, error theory and analysis; Cartography: pre-calculus; map
Below we shall look at some of the main land survey formulas that are used around the world. Types of Land Survey Formulas. There are hundreds of different land survey formulas, and each one serves its own purpose.