Etymology
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indigence (n.)
late 14c., from Old French indigence "indigence, need, privation" (13c.), from Latin indigentia "need, want; insatiable desire," from indigentem (nominative indigens) "in want of, needing," present participle of indigere "to need, stand in need of," from indu "in, within" (from PIE *endo-, extended form of root *en "in") + egere "be in need, want," from PIE *eg- "to lack" (source also of Old Norse ekla "want, lack," Old High German eccherode "thin, weak").
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indigency (n.)
1610s, from Latin indigentia "need, want" (see indigence).
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indigent (adj.)
c. 1400, from Old French indigent "poor, needy," from Latin indigentem "in want of, needing" (see indigence). As a noun, "poor person," from early 15c.
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*en 
Proto-Indo-European root meaning "in."

It forms all or part of: and; atoll; dysentery; embargo; embarrass; embryo; empire; employ; en- (1) "in; into;" en- (2) "near, at, in, on, within;" enclave; endo-; enema; engine; enoptomancy; enter; enteric; enteritis; entero-; entice; ento-; entrails; envoy; envy; episode; esoteric; imbroglio; immolate; immure; impede; impend; impetus; important; impostor; impresario; impromptu; in; in- (2) "into, in, on, upon;" inchoate; incite; increase; inculcate; incumbent; industry; indigence; inflict; ingenuous; ingest; inly; inmost; inn; innate; inner; innuendo; inoculate; insignia; instant; intaglio; inter-; interim; interior; intern; internal; intestine; intimate (adj.) "closely acquainted, very familiar;" intra-; intricate; intrinsic; intro-; introduce; introduction; introit; introspect; invert; mesentery.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit antara- "interior;" Greek en "in," eis "into," endon "within;" Latin in "in, into," intro "inward," intra "inside, within;" Old Irish in, Welsh yn, Old Church Slavonic on-, Old English in "in, into," inne "within, inside."
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penury (n.)

"extreme poverty, indigence, destitution," c. 1400, penurie, from Latin penuria "want, need; scarcity," related to pæne "nearly, almost, practically," which is of uncertain origin.

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destitution (n.)

early 15c., destitucioun, "deprivation, loss, absence of something desired," from Old French destitution and directly from Latin destitutionem (nominative destitutio) "a forsaking, deserting," from destitutus, past participle of destituere "forsake," from de "away" (see de-) + statuere "put, place," causative of stare "to stand," from PIE root *sta- "to stand, make or be firm." Meaning "absence of means or resources, indigence, poverty" is from c. 1600.

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poverty (n.)

late 12c., poverte, "destitution, want, need or insufficiency of money or goods," from Old French poverte, povrete "poverty, misery, wretched condition" (Modern French pauvreté), from Latin paupertatem (nominative paupertas) "poverty," from pauper "poor" (see poor (adj.)).

From early 13c. in reference to deliberate poverty as a Christian act. Figuratively from mid-14c., "dearth, scantiness;" of the spirit, "humility," from the Beatitudes.

Seeing so much poverty everywhere makes me think that God is not rich. He gives the appearance of it, but I suspect some financial difficulties. [Victor Hugo, "Les Misérables," 1862]

Poverty line "estimated minimum income for maintaining the necessities of life" is attested from 1891; poverty trap "situation in which any gain in income is offset by a loss of state benefits" is from 1966; poverty-stricken "reduced to a state of poverty" is by 1778.

Poverty is a strong word, stronger than being poor; want is still stronger, indicating that one has not even the necessaries of life ; indigence is often stronger than want, implying especially, also, the lack of those things to which one has been used and that befit one's station ; penury is poverty that is severe to abjectness ; destitution is the state of having absolutely nothing .... [Century Dictionary]
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