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Two approaches are suggested for recording the continuum corona in the range < 1.4 R. They are different from the classical coronagraphic ones. Current state in the thin film technology allows discussing a new generation coronagraph with a variable transmission of an entrance aperture. The coronagraphic factor is estimated to be at least 2 orders of magnitude higher as compared with a Lyot-type coronagraph. Another approach is based on the use of total solar eclipses at near Mercury orbits. The instrumental background is expected to be 2-3 orders of magnitudes lower than for a Lyot-type coronagraph as well.