Interactive Triangulation Demonstration
Key Principles
- Measure base line length accurately
- Observe angles from both ends of base line
- Calculate unknown distances using trigonometry
- Form network of triangles for larger areas
Mathematical Formula
Law of Sines:
a/sin(A) = b/sin(B) = c/sin(C)
Where a, b, c are sides and A, B, C are angles
Historical Significance
Ancient Origins
Used by ancient civilizations for construction and navigation
Golden Age
Crucial for mapping and national surveys in 18th-19th centuries
Modern Applications
Still relevant in GPS technology and satellite positioning
Practical Applications
Topographic Mapping
Creating accurate terrain maps and elevation models
Construction
Setting out buildings and infrastructure projects
Geodetic Networks
Establishing control points for large-scale surveys
Satellite Navigation
Supporting modern GPS positioning systems