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 for Family of curves
From The Collaborative International Dictionary of English v.0.48 :

  Family \Fam"i*ly\, n.; pl. Families. [L. familia, fr. famulus
     servant; akin to Oscan famel servant, cf. faamat he dwells,
     Skr. dh[=a]man house, fr. dh[=a]to set, make, do: cf. F.
     famille. Cf. Do, v. t., Doom, Fact, Feat.]
     1. The collective body of persons who live in one house, and
        under one head or manager; a household, including parents,
        children, and servants, and, as the case may be, lodgers
        or boarders.
        [1913 Webster]
     2. The group comprising a husband and wife and their
        dependent children, constituting a fundamental unit in the
        organization of society.
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              The welfare of the family underlies the welfare of
              society.                              --H. Spencer.
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     3. Those who descend from one common progenitor; a tribe,
        clan, or race; kindred; house; as, the human family; the
        family of Abraham; the father of a family.
        [1913 Webster]
              Go ! and pretend your family is young. --Pope.
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     4. Course of descent; genealogy; line of ancestors; lineage.
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     5. Honorable descent; noble or respectable stock; as, a man
        of family.
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     6. A group of kindred or closely related individuals; as, a
        family of languages; a family of States; the chlorine
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     7. (Biol.) A group of organisms, either animal or vegetable,
        related by certain points of resemblance in structure or
        development, more comprehensive than a genus, because it
        is usually based on fewer or less pronounced points of
        likeness. In Zoology a family is less comprehesive than an
        order; in botany it is often considered the same thing as
        an order.
        [1913 Webster]
     Family circle. See under Circle.
     Family man.
        (a) A man who has a family; esp., one who has a wife and
            children living with him and dependent upon him.
        (b) A man of domestic habits. "The Jews are generally,
            when married, most exemplary family men." --Mayhew.
     Family of curves or Family of surfaces (Geom.), a group
        of curves or surfaces derived from a single equation.
     In a family way, like one belonging to the family. "Why
        don't we ask him and his ladies to come over in a family
        way, and dine with some other plain country gentlefolks?"
     In the family way, pregnant. [Colloq. euphemism]
        [1913 Webster]

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