Discover the application of Thales' theorem in topometry, using the OHM triangle to calculate elevation differences between points and stations. Learn how to apply mathematical concepts to real-world problems in surveying and mapping.
Extract
[...] Topometry The situation is schematized above. We work in degrees (with On so Likewise: In addition: As , in the triangle rectangle , on Similarly, working always in the same triangle: Then, working in the rectangular OHM triangle in we have: Always within the OHM triangle, we also have: We know that the lines and intersect at H. Furthermore, the lines and are parallel. We can therefore apply Thales' theorem: The numerators of these fractions being equal, the denominators are also and we get:" We finally get: represents the elevation difference between the point P and the station S. [...]
