On the accuracy of determining the point located in the remarkable points of the triangle
The technique of assessment of accuracy of definition is considered by geodetic notches of point located in remarkable points of an acute triangle: the orthocenter, the center of the entered circle, the center of gravity, the center spun to Lemuan's point, Torricelli point, Brocard point. The technique is applicable to any notch: linear, the return angular, the return linearly - angular, direct angular, direct linearly - angular, combined, etc. It is based on a uniform algorithm which essence consists in determination of perimeter and closing the quadratic ground on gradients of the measured corners and distances of a notch depending on the choice of their scales. It is noted that in size of perimeter and closing it is possible to calculate practically any scalar estimates of accuracy known in geodesy at the moment including the half shafts and the area of an ellipse of mistakes, radial mistakes considered in article without account and taking into account correlation. The accuracy assessment formulas are given and sign modeling is performed, which showed that the highest accuracy of determining a point by linear, angular and linear-angular serifs is achieved when it is located at the Torricelli point. Moreover, the sum of the distances from this point to the vertices of the triangle is minimal, that is, it satisfies the condition of the Steiner problem.