Abstract
The aim of the first part (Sections 1 and 2) of this paper will be to extend an analysis of the light curves of totally-eclipsing binary systems to the case in which the distortion of the shadow-cone of the eclipsing component must be taken account of in an analysis of the system's light changes within minima. Like in the case of total eclipses of spherical stars, an extension of the analysis of their light changes in the frequency-domain can likewise be carried out in a closed form, without a need to resort to automatic computers which may not be at the disposal of every investigator.
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