Engineering Physics Annotation << Back Determination of the Stationary Temperature Field of a Spheroid Under Boundary Conditions of the First Kind Kanareykin A.I. The article is devoted to the issues of stationary thermal conductivity in a sphere under boundary conditions of the fi rst kind. At fi rst, the fi eld in the ball was determined when a part of its surface corresponding to a given ball segment remains at a given temperature, and the other part has the opposite temperature value. When fi nding a solution, the method of decomposition into a series containing Legendre polynomials is used. The resulting formulas are obtained in a spherical coordinate system. Based on the obtained solution, the case of a cut elongated spheroid was considered, when the surface of rotation is maintained at a given temperature, and the plane of the slice has a temperature equal to zero. The paper also considered a special case for a cutoff compressed spheroid. Keywords: heat transfer, ball, spherical segment, spheroid, boundary conditions, initial conditions, thermal conductivity, series, Legendre polynomials. DOI: 10.25791/infi zik.10.2024.1430 Pp. 28-33.