hagu
1.

To connect two surfaces of material, such as paper or fabric, in a way that they overlap partially, forming a continuous and inseparable state.

2.

To piece together or unite two objects, often involving the act of mending or repairing, such as sewing together torn fabrics or connecting parts of a structure.

3.

To attach different elements together, creating a singular object from multiple components—applicable in crafting, cooking, or construction.

4.

To join or intertwine different items in a manner that maintains continuity, ensuring that there are no breaks in a series of events or functions, such as in conversation or breathing.

tsugu
1.

To connect two surfaces or materials so that they overlap slightly, forming a unified whole, as seen when pieces of fabric or paper are adhered together.

2.

To piece together or attach two objects in a continuous manner, often used in the context of mending or repairing items like clothing or structures.

3.

To inherit or take over responsibilities, roles, or skills from a predecessor, ensuring continuity in a position or tradition.

Example:

医者は彼の折れた足をついだ。