If you are warming yourself by the fireplace, you are sitting by the hearth. The noun hearth refers to a fireplace and the area around it.

Hearth refers specifically to the paved floor of a fireplace, which may extend out into a room. Hearths are associated with home and family because the hearth was historically the main source of heat in the home, as well as where the cooking was done. As a result, family members often gathered together around the hearth. The importance of the hearth has made it symbolic of the home, as in the phrase "hearth and home."

Definitions of hearth

n an open recess in a wall at the base of a chimney where a fire can be built

“he laid a fire in the hearth and lit it”
“the hearth was black with the charcoal of many fires”
fireplace, open fireplace
a fireplace in which a relatively small fire is burning
a fire for cooking
Type of:
niche, recess
an enclosure that is set back or indented

n an area near a fireplace (usually paved and extending out into a room)

“they sat on the hearth and warmed themselves before the fire”
Type of:
area, country
a particular geographical region of indefinite boundary (usually serving some special purpose or distinguished by its people or culture or geography)

n home symbolized as a part of the fireplace

“driven from hearth and home”
Type of:
abode, domicile, dwelling, dwelling house, habitation, home
housing that someone is living in

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