terrametraTM
TERRAMETRA
Resources
Earth Measurement Mathematics
"from the ground up"

Review Courses
and tutoring for
Professional Surveyors
Surveyor Interns

and
Math Students
3
Copyright © 2001-2024 -- Terrametra Resources2
1
 

GEODETIC PROJECTONS
4.0 semester hours equivalent (non-transferable)
Recommended Prerequisite(s):
COORDINATE GEOMETRY

This course covers how to calculate control surveys utilizing map projections and state plane coordinates. Topics include geodetic-to-grid and grid-to-geodetic conversions for angles, distances and coordinates, with an emphasis on calculations in the Lambert Conformal Conic projection and comparisons to calculations in the Transverse Mercator and UTM projections. Upon successful completion of this course, students will be able to compute solutions to control surveys using state plane coordinates.

  • Terminology and Types of Projections
  • Spherical Projections
    • Latitude and Longitude
    • Tangent and Secant Cones
    • Tangent and Secant Cylinders
  • Ellipsoid Elements
  • Coordinate Computations
    • Plane Zenith Angles
    • Slope Reductions
    • Elevations
    • Scale and Elevation Reduction Factors
    • Grid Distances
  • Lambert Projection
    • Geodetic Coordinates to (from) Plane Coordinates
    • Mapping Angle, Second Term, Spherical Excess
    • Zone Transitions and Zone Parameters
    • Projection Algorithms
  • Transverse Mercator Projection
  • Universal Transverse Mercator Projection

 

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CONSTRUCTION

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FILES

GENERAL
  • GENERAL OVERVIEW
  • INTRODUCTION
  • GREEK ALPHABET

  • SPHERE PROJECTION
  • INTRODUCTION
  • TAN CONE
  • SEC CONE
  • MORE EXAMPLES
  • HOMEWORK #1
  • HOMEWORK #2

  • NGS DATA SHEETS
  • ALLEN
  • BOULDER
  • BUTTE
  • LONGS PK
  • MORRISON
  • PACKERS GAP
  • ROTELLA
  • SEVEN
  • SEVEN L
  • STORMY
  • THORNTON #2
  • TWIN SISTER LOOKOUT
  • UTE PK
  • WILLIAMS PK
  • ====== NAD83 ZONES ======
  • NAD 83 MANUAL
  • NAD 83 0501 CO-N
  • NAD 83 0502 CO-C
  • NAD 83 0503 CO-S
  • NAD 83 SECOND TERM
  • NAD 83 TRIANGULATION
  • NAD 83 TRAVERSING
  • ====== NAD 27 ZONES ======
  • NAD 27 0500 CO
  • NAD 27 0501 CO-N
  • NAD 27 0502 CO-C
  • NAD 27 0503 CO-S
  • NAD 27 SECOND TERM
  • NAD 27 TRIANGULATION
  • NAD 27 TRAVERSING
  • ====== COMMON ==========
  • PLANE ZENITH
  • TRIM CORRECTION
  • GRID FACTORS

  • COORD. CONVERSION
    ====== NAD83 ============
  • WORKSHEET
  • FWD 0501 LONGS PK
  • FWD 0501 MORRISON
  • FWD 0502 LONGS PK
  • FWD 0502 UTE PK
  • FWD 0502 WILLIAMS PK
  • FWD 0503 STORMY
  • REV 0501 ALLEN
  • REV 0501 BOULDER
  • REV 0501 THORNTON #2
  • REV 0502 BUTTE
  • REV 0502 FROST
  • REV 0503 PACKERS GAP
  • ====== NAD27 ============
  • WORKSHEET
  • FWD 0501 LONGS PK
  • FWD 0502 BM V4
  • FWD 0502 LONGS PK
  • FWD 0502 UTE PK
  • FWD 0502 WILLIAMS PK
  • FWD 0503 STORMY
  • REV 0501 ALLEN
  • REV 0501 THORNTON #2
  • REV 0502 BUTTE
  • REV 0502 FROST
  • REV 0503 PACKERS GAP

  • TRIANGULATION
    ====== NAD83 ============
  • BLDR-MORR-BELLVIEW
  • STORMY-PACKERS-SEVEN

  • ====== NAD27 ============
  • BLDR-MORR-BELLVIEW
  • STORMY-PACKERS-SEVEN

  • TRAVERSING
    ====== NAD83 ============
    ====== NAD27 ============

    ZONE TRANSITION
    ====== NAD83 ============
  • EXAMPLE #1
  • HOMEWORK #1

  • PROJECTIONS
  • ELLIPSE ELEMENTS
  • ELLIPSOIDS COMPARED
  • HOMEWORK #1

  • KEYS

    SPHERE PROJECTION
  • HOMEWORK #1
  • HOMEWORK #2

  • COORD. CONVERSION
    ====== NAD83 ============
  • FWD 0501 LONGS PK
  • FWD 0501 MORRISON
  • FWD 0502 LONGS PK
  • FWD 0502 UTE PK
  • FWD 0502 WILLIAMS PK
  • FWD 0503 STORMY
  • REV 0501 ALLEN
  • REV 0501 BOULDER
  • REV 0501 THORNTON #2
  • REV 0501 BUTTE
  • REV 0502 FROST
  • REV 0502 PACKERS GAP

  • TRIANGULATION
    ====== NAD83 ============
  • BLDR-MORR-BELLVIEW
  • STORMY-PACKERS-SEVEN
  • ====== NAD27 ============
  • BLDR-MORR-BELLVIEW
  • STORMY-PACKERS-SEVEN

  • TRAVERSING
    ====== NAD83 ============
    ====== NAD27 ============

    ZONE TRANSITION
    ====== NAD83 ============
  • HOMEWORK #1

  • PROJECTIONS
  • HOMEWORK #1