The difference between Increment and Supplement

Increment as a noun:

The action of increasing or becoming greater.

Increment as a noun (heraldry):

The waxing of the moon.

Increment as a noun:

The amount of increase.

Increment as a noun (rhetoric):

An amplification without strict climax, as in the following passage: "Finally, brethren, whatsoever things are true, whatsoever things are honest, whatsoever things are just, whatsoever things are pure, whatsoever things are lovely, whatsoever things are of good report, think on these things."

Increment as a noun (chess):

The amount of time added to a player's clock after each move.

Increment as a noun (grammar):

A syllable in excess of the number of the nominative singular or the second-person singular present indicative.

Increment as a verb (intransitive, transitive):

To increase by steps or by a step, especially by one.

Supplement as a noun:

Something added, especially to make up for a deficiency.

Supplement as a noun:

An extension to a document or publication that adds information, corrects errors or brings up to date.

Supplement as a noun:

An additional section of a newspaper devoted to a specific subject.

Supplement as a noun (geometry):

An angle that, when added to a given angle, makes 180; a supplementary angle.

Supplement as a noun (nutrition, bodybuilding):

A vitamin, herbal extract or chemical compound ingested to meet dietary deficiencies or enhance muscular development.

Supplement as a verb:

To provide or make a supplement to something.