eke

The noun is derived from Middle English eke (“addition, increase, enlargement”), from Old English ēaca, from Proto-Germanic *aukô, from *aukaną (“to increase, add, enlarge”), ultimately from Proto-Indo-European *h₂ewg- (“to enlarge, increase”). The English noun is cognate with Old Frisian āka (“addition, increase; bonus”), Old Norse auki (“growth, increase, proliferation”). The verb is derived partly: * from the noun; and * from Middle English eken (“to increase, add, enlarge”) [and other forms], from three distinct verbs (1) Old English īeċan (“to increase, add, enlarge”) (transitive), (2) ēacan (“to be enlarged or increased”), and (3) ēacian, all from Proto-Germanic *aukaną (“to grow, increase”); see further above. The English verb is cognate with Latin augeō (“to augment, increase; to enlarge, expand, spread; to lengthen; to exaggerate; to enrich; to honour; (figuratively) to exalt, praise”), Old English ēac (“also”), Old Norse auka (“to augment, increase; to add; to exceed, surpass”), Icelandic auka (“to augment, increase to add; to exceed, surpass”), (Danish øge (“to enhance; to increase”), Norwegian Bokmål øke (“to increase”), Norwegian Nynorsk auka (“to increase”), Swedish öka (“to increase”)).

来源：wiktionary