In the companion Paper XV of this series, we derive accurate total mass-to-light ratios |$(\rm M/L)_{\rm JAM}\approx ({\rm M/L})({\it r}= {R_{\rm e}})$| within a sphere of radius |$r= {R_{\rm e}}$| centred on the galaxy, as well as stellar (M/L)stars (with the dark matter removed) for the volume-limited and nearly mass-selected (stellar mass |$M_\star \gtrsim 6\times 10^9 {\,\mathrm{M}_{\odot }}$|) ATLAS3D sample of 260 early-type galaxies (ETGs, ellipticals Es and lenticulars S0s). Here, we use those parameters to study the two orthogonal projections |$({M_{\rm JAM}}, {\sigma _{\rm e}})$| and |$({M_{\rm JAM}}, {R_{\rm e}^{\rm maj}})$| of the thin Mass Plane (MP) |$({M_{\rm JAM}}, {\sigma _{\rm e}}, {R_{\rm e}^{\rm maj}})$| which describes the distribution of the galaxy population, where |$ {M_{\rm JAM}}\equiv L\times ({\rm M/L})_{\rm JAM}\approx M_\star$|. The distribution of galaxy properties on both projections of the MP is characterized by: (i) the same zone of exclusion (ZOE), which can be transformed from one projection to the other using the scalar virial equation. The ZOE is roughly described by two power laws, joined by a break at a characteristic mass |$ {M_{\rm JAM}}\approx 3\times 10^{10} {\,\mathrm{M}_{\odot }}$|, which corresponds to the minimum Re and maximum stellar density. This results in a break in the mean |$ {M_{\rm JAM}}\text{--} {\sigma _{\rm e}}$| relation with trends |$ {M_{\rm JAM}}\propto \sigma _{\rm e}^{2.3}$| and |$ {M_{\rm JAM}}\propto \sigma _{\rm e}^{4.7}$| at small and large σe, respectively; (ii) a characteristic mass |$ {M_{\rm JAM}}\approx 2\times 10^{11} {\,\mathrm{M}_{\odot }}$| which separates a population dominated by flat fast rotator with discs and spiral galaxies at lower masses, from one dominated by quite round slow rotators at larger masses; (iii) below that mass the distribution of ETGs’ properties on the two projections of the MP tends to be constant along lines of roughly constant σe, or equivalently along lines with |$ {R_{\rm e}^{\rm maj}}\propto {M_{\rm JAM}}$|, respectively (or even better parallel to the ZOE: |$ {R_{\rm e}^{\rm maj}}\propto M_{\rm JAM}^{0.75}$|); (iv) it forms a continuous and parallel sequence with the distribution of spiral galaxies; (v) at even lower masses, the distribution of fast-rotator ETGs and late spirals naturally extends to that of dwarf ETGs (Sph) and dwarf irregulars (Im), respectively.