coöriginal

• co-original, cooriginal

co- +‎ original

• (Received Pronunciation) enPR: kō'ərĭjʹə.nəl, IPA^(key): /ˌkəʊəˈɹɪdʒənəl/
• (General American) enPR: kō'ərĭjʹə.nəl, IPA^(key): /ˌkoʊəˈɹɪd͡ʒənəl/

coöriginal (not comparable)

1. (philosophy) Existing together ab initio; equiprimordial.
   • 1848, George Clinton Whitlock, Elements of Geometry, Theoretical and Practical, part 1, book 2, § 1, page 63:

     It would doubtless be out of place to enter here into any investigation in regard to the origin of our ideas; but I think it will be apparent, that the notion of continuity is coöriginal with that of personal identity, and therefore, antecedent to argumentation[.]

   • 1859, Sir William Hamilton [lect.] and Henry Longueville Mansel and John Vietch (editors), Lectures on Metaphysics and Logic, volume 1: “Metaphysics”, lecture XVI: “Consciousness, — Violations of Its Authority”, page 206:

     Others again deny the evidence of consciousness to the equipoise of the subject and object as coördinate and coöriginal elements; and as the balance is inclined in favor of the one relative or the other, two opposite schemes of psychology are determined.

2. (geometry, of a line) Originating from the same point in space.
   • 1859 October (pub. 1860 October), John Daniel Runkle (editor), The Mathematical Monthly, volume II, № I, pages 29–31: W.P.G. Bartlett, “The Elements of Quaternions”, part I: “Lines”, § 4:

     In operations on lines in space, it is convenient to substitute for some of the given lines other lines, equal, and therefore parallel, to the given ones, but passing through a point in space common to themselves and the other given lines; so that all the lines may be coöriginal.

• Conigliaro