All 7 Uses

correspond
in
Dante's Inferno
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The Angelic Hierarchy consisted of nine orders, corresponding to the nine moving heavens.†
Canto T.O.

corresponding = connected or fitting together by being equivalent, proportionate, or matched
[2] These three beasts correspond to the triple division of sins into those of incontinence, of violence, and of fraud†
Canto 1-3 *

correspond = connect or fit together by being equivalent, proportionate, or matched
See now how great must be that whole which corresponds to such parts.†
Canto 31-34

corresponds = connects or fits together by being equivalent, proportionate, or matched
In this case the aim of the translator should he to render the substance fully, exactly, and with as close a correspondence to the tone and style of the original as is possible between prose and poetry.†
Canto T.O.
In English there is an excellent prose translation of the Inferno, by Dr. John Carlyle, a man well known to the reader of his brother's Correspondence.†
Canto T.O.
I have tried to be as literal in my translation as was consistent with good English, and to render Dante's own words in words as nearly correspondent to them as the difference in the languages would permit.†
Canto T.O.
The heavy hydropsy which, with the humor that it ill digests, so unmates the members that the face corresponds not with the belly, was making him hold his lips open as the hectic does, who for thirst turns one toward his chin, the other upward.†
Canto 28-30

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise
(5) (meaning too rare to warrant focus)