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We measure the scaling relations of the bulges and disks of the EFIGIgalaxies in the nearby Universe versus morphology, using bulge and diskdecomposition of SDSS gri images with SourceXtractor++. The Kormendy (1977)relation between effective surface brightness and effective radius of Egalaxies extends to the bulges of types S0 to Sb, whereas fainter and smallerbulges of later Hubble types depart from it, with decreasing bulge-to-totalratio (B/T) and S\'ersic indices. There is a continuous transition frompseudo-bulges to classical ones, proposed to occur for g magnitudes between-17.8 to -19.1. The size-luminosity relations for E and dE types are steeperand similar to those from Binggeli et al. (1984), resp., below which EFIGIlenticular and spiral bulges display a curved relation. The disks andirregulars also follow a continuous curved size-luminosity relation such thatwhile they grow, they first brighten and then stabilize in surface brightness.Moreover, we obtain the unprecedented result that the effective radii of boththe bulges and disks of spirals increase as power-laws of B/T, with a steeperincrease for the bulges. The increase with B/T is much steeper and similar forthe bulges and disks of lenticulars. The ratio of disk-to-bulge effective radiivaries accordingly across 2 orders of magnitude in B/T for all lenticular andspiral types, with a mean disk-to-bulge ratio decreasing from ~15 for Sbc toScd types to ~6 for S0. We tabulate all derived scaling relations, so that theycan be used to build realistic mock images of nearby galaxies. The new curvedsize-luminosity relations will prevent over or under estimates of bulge, diskand galaxy sizes at all magnitudes. These results complement the analysis ofQuilley & de Lapparent (2022) by providing the joint size and luminosityvariations of bulges and disks, as they evolve reversely along the Hubblesequence.

Tailoring galaxies: size-luminosity-surface brightness relations of bulges and disks along the morphological sequence