All 7 Uses

correspond
in
Dante's Paradise -- translated by Norton
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The sign of the Gemini, in which Dante was revolving in the Heaven of the Fixed Stars, is in the zone of the Heavens corresponding to the first climate.†
Canto 23-33

corresponding = connected or fitting together by being equivalent, proportionate, or matched
Hence this one,[7] which sweeps along with itself all the rest of the universe, corresponds to the circle[8] which loves most, and knows most.†
Canto 23-33 *

corresponds = connects or fits together by being equivalent, proportionate, or matched
[9] The greater heaven corresponds to the angelic circle of the Intelligences which love God most and know most of Him; the smaller to that of those which love and know least†
Canto 23-33
[2] The third in ascending order of the hierarchy of the Angels, corresponding with the heaven of Venus†
Canto 1-11
[1] But will and the discourse of reason, corresponding to affection and intelligence, are unequal in mortals, owing to their imperfection†
Canto 12-22
[5] On earth my body is earth; and it will be there with the others until our number corresponds with the eternal purpose†
Canto 23-33
Sometimes an animal, which is covered up, so stirs, that his desire must needs become apparent through the corresponding movement which that which wraps him makes; and in like manner the first soul made evident to me, through its covering, how gladly it came to do me pleasure.†
Canto 23-33

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)