demonstrado

Demonstrado is the past participle of demonstrar in Portuguese, functioning as an adjective and as part of compound verb forms. It conveys that something has been shown, proven, or established, and it can modify nouns or appear in verbal tenses such as ter sido or está/foi demonstrado.

Etymology and related forms: Demonstrado derives from demonstrar, which in turn comes from Latin demonstrare, meaning to show or point out. Related terms include demonstração (the act of showing or proving), demonstrar (to show), and demonstrativo (demonstrative or related adjective).

Usage and agreement: As an adjective, demonstrado agrees in gender and number with the noun it modifies (demonstrado, demonstrada; demonstrados, demonstradas). It is also used in compound tenses with auxiliary verbs, for example, "o resultado foi demonstrado" or "os fatos demonstrados." In mathematical and scientific language, it is common in phrases like "teorema demonstrado" or "dados demonstrados," indicating that the proposition or data have been shown or proven.

Domains of use: In mathematics and logic, demonstrado is often used to indicate that a proposition has been proven. In science and research, it appears in contexts describing evidence that has been established. In everyday Portuguese, it can describe anything that has been shown or demonstrated, such as a claim, a method, or a result.

See also: demonstrar, demonstração, demonstrativo, demonstrável.