Etymology
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consistent (adj.)

1570s, "consisting" (a sense now obsolete), from Latin consistentem (nominative consistens), present participle of consistere "to stand firm, take a standing position, stop, halt," from assimilated form of com "with, together" (see con-) + sistere "to place," causative of stare "to stand, be standing," from PIE root *sta- "to stand, make or be firm."

Sense of "standing together in agreement, agreeing" (with with) is first attested 1640s; meaning "marked by consistency" is from 1732. The literal, physical sense survives in consistency. Related: Consistently.

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Definitions of consistent

consistent (adj.)
(sometimes followed by `with') in agreement or consistent or reliable; "I have decided that the course of conduct which I am following is consistent with my sense of responsibility as president in time of war"- FDR;
testimony consistent with the known facts
consistent (adj.)
the same throughout in structure or composition;
bituminous coal is often treated as a consistent and homogeneous product
Synonyms: uniform
consistent (adj.)
capable of being reproduced;
Synonyms: reproducible
consistent (adj.)
marked by an orderly, logical, and aesthetically consistent relation of parts;
Synonyms: coherent / logical / ordered
From wordnet.princeton.edu