A source of direct current or voltage that consists of two or more electrolytic cells connected together and used as a single unit.
A floating battery is formed from secondary cells and is connected simultaneously to a discharging circuit and a charging circuit. The current in the charging circuit is adjusted so as to balance the loss of charge from the battery to the discharging circuit driven by it. A constant level of charge is therefore maintained in the battery. A floating battery is often used to provide a constant e.m.f. in the discharge circuit, despite fluctuations in the electrical mains supply.
A dry battery is a relatively small portable battery made up from dry cells that can be discharged once. Rechargeable batteries can be discharged and recharged many times.
https://www.doitpoms.ac.uk/tlplib/batteries/index.php An introductory course on batteries, from the University of Cambridge