By right

//ˌbaɪ̯ ˈɹaɪ̯t// prep_phrase

Definitions

Prep_phrase
  1. 1
    According to what is right, or what one is legally or morally entitled to; justly, properly, rightfully. idiomatic

    "The post of vice-president should, by right, have been given to John."

  2. 2
    In reality; correctly, to tell the truth, truthfully. idiomatic, obsolete

    "And ſome [fowl], becauſe the light doth them offend, / Neuer appeare, but in the darke, or night. / Other reioyce, to ſe the fire ſo bright / And wene to play in it, as they pretend: / Alas, of that ſort may I be, by right. / For to withſtand her loke I am not able: / Yet can I not hide me in no dark place: […]"

Etymology

From by + right (“that which complies with justice, law or reason; legal, just, or moral entitlement”).

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