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We studied dielectric properties of nano-sized liquid water samples confined in polymerized silicates MCM-41 characterized by the porous sizes ∼ 3 − 10nm. We report the direct measurements of the dielectric constant by the dielectric spectroscopy method at frequencies 25Hz − 1M Hz and demonstrate clear signatures of the second-order phase transition of ferroelectric nature at temperatures next to the λ− point in the bulk supercooled water. The presented results support the previously developed polar liquid phenomenology and hence establish its applicability to model actual phenomena in liquid water.