projective.
projecting outward
Meaning & usage
projecting outward
of, relating to, or caused by a projection
Of or related to projective geometry: Invariant under projective transformations.
Of or related to projective geometry: Defined in or inhabiting a projective space.
In a technical sense, general (but not necessarily so general as to be free); involving such objects: Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).
In a technical sense, general (but not necessarily so general as to be free); involving such objects: Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.
In a technical sense, general (but not necessarily so general as to be free); involving such objects: Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.
In a technical sense, general (but not necessarily so general as to be free); involving such objects: Such that every object in the resolution is projective.
Where this word comes from
Formed by the suffixation of prōiect- (the perfect passive participial stem of the Classical Latin prōiciō, whence the English verb project) with the English -ive, forming project + -ive; however, compare the post-Classical Latin prōiectīvus (“relating to purging”).
An assessment test that presents subjects with some sort of stimulus to which they react by projecting or imagining details.
A projective member of a category.
A statement about a conditional or potential state of affairs, as opposed to one about a situation that actually exists or existed.
Where this word comes from
Formed by the suffixation of prōiect- (the perfect passive participial stem of the Classical Latin prōiciō, whence the English verb project) with the English -ive, forming project + -ive; however, compare the post-Classical Latin prōiectīvus (“relating to purging”).
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.