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Aerospace Instrument-Making

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LOCATION RELIABILITY AND EUCLID’S POSTULATES
S.N. Guzevich

The article is a development of the use of a paired parallax coordinate system in the location, providing a connection between
the measurement results and the Golden Section law. The article shows that the interaction between the fields of two objects ensures the construction of a three-dimensional spatial coordinate system, the transfer of information in which is carried out by projecting 4 parallactic angles of their mutual observations. The transmission of information is carried out by projections of angles on paired orthogonal observation planes, using right-angled triangles connected by the dependence of the geometric mean. Measurement of the position and size of objects is performed on the orthogonal axes of the measurement plane in the ball in two orthogonal observation planes. On the orthogonal axes of the measurement plane, the images of the observation angles in the ball are related by trigonometric functions.
Keywords: postulates and axioms of Euclid, parallactic angle, image of an object, base, paired parallactic coordinate system, physical fields of objects, reliability. resolution.


DOI: 10.25791/aviakosmos.3.2022.1270

Pp. 22-33.

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