Thursday, June 10, 2021

Solving the problem of equalization of polygonometry.

 In certain, and not very narrow, circles, Gauss is known as the "king of mathematicians.

it's well known that mathematics, even in the time of their kings, didn't indulge these dabblers

of fortune, at least they couldn't live off it, which of course only

stimulated their creative potential to the level of royalty, of the kings to whom they

of the kings they were not equal to, both then and now. Gauss was largely fed by geodesy, which is

cartography. No one will doubt that in geodesy Gauss left a powerful and

nevertheless useful. Most of all, he is revered by all succeeding generations of geodesists for

The nightmare of equating geodetic networks by the method of least squares, which became an insurmountable wall

The essence of the problem is that it is not a problem to be solved at all, but it is an insurmountable wall on the way to the cherished diploma of hapless students. The essence of the problem

of the problem of geodetic equalization is this.

 If you've seen a map at least once, you've had a chance to see that it's drawn in a flat

coordinate system, and some of you haven't even missed that chance. But in order to draw anything in

you have to know at least the coordinates of a few points in the drawing, that's the reference

coordinates of points in geodesy to which the rest of the drawing is attached. The easiest way to

of determining the coordinates of the reference points is to make a set of measurements between

points of the surface, as a rule it is reduced to measuring the length between the points - L12

(points 1,2 in this case), and to measure the angle between the points . The angle can be measured only between three

therefore the basis of the geodetic network is at least three points of the surface - 1,2,3

respectively, the angle between them is -123 , such elementary cell of the network is a triangle.

Math Homework