Finalmente, a bandeira. Tiradentes propôs que fosse adotado o triângulo representando a Santíssima Trindade, com alusão às cinco chagas de Cristo crucificado, presente nas armas portuguesas. Já Alvarenga propôs a imagem de um índio quebrando os grilhões do colonialismo, com a inscrição “Libertas quae sera tamen” (Liberdade, ainda que tardia), do poeta latino Virgílio, e que foi adotada e consagrada.

(MOTA, Carlos Guilherme e LOPEZ, Adriana. História do Brasil: uma interpretação.

São Paulo, Ed. 34, 2015, 4. ed. p. 261)

A proposta formulada por Alvarenga, de se colocar na nova bandeira a imagem de um índio quebrando os grilhões do colonialismo ajuda a entender que

Quatro corredores estavam participando de uma corrida em uma pista quadrada. Todos partiram no mesmo instante da linha P, indicada na imagem, e, após os dois primeiros colocados terem completado uma volta, a posição deles em determinado instante foi registrada por um software, como mostra a imagem a seguir. 

Com base na imagem, o software calculou que, nesse instante, a distância do quarto colocado ao primeiro colocado era dada pela função f(x) = |2x – 9| + x, em que x indica a distância do primeiro colocado à linha de partida e de chegada P, em metro.

Considerando que o primeiro colocado estava a 2 metros da linha P no instante registrado pelo software, a distância entre o primeiro e o quarto colocados nesse momento, segundo o software, era de

 Em um círculo, de centro O, está inscrito o ângulo  β, de acordo com a figura representada a seguir.

Se o arco AMB mede 130°, o ângulo β mede,em graus:

A Terra é um planeta em constante mudança desde quando surgiu, as evidencias dessas mudanças podem ser notadas na crosta e estão relacionadas ao deslocamento das placas tectônicas.

Analise o mapa:

Heroism: why heroes are important

The term “hero” comes from the ancient Greeks. For

them, a hero was a mortal who had done something

so far beyond the normal scope of human experience

that he left an immortal memory behind him when

[5]  he died, and thus received worship like that due to

the gods. But people who had committed unthinkable

crimes were also called heroes. Originally, heroes

were not necessarily good, but they were always

extraordinary; to be a hero was to expand people’s

[10]  sense of what was possible for a human being.

Today, it is much harder to detach the concept of

heroism from morality; we only call heroes those whom

we admire and wish to emulate. But still the concept

retains that original link to possibility. We need heroes

[15]  first and foremost because our heroes help define the

limits of our aspirations. We largely define our ideals

by the heroes we choose, and our ideals – things like

courage, honor and justice – largely define us. Our

heroes are symbols for us of all the qualities we would

[20]  like to possess and all the ambitions we would like

to satisfy. A person who chooses Martin Luther King

as a hero is going to have a very different sense of

what human excellence involves than someone who

chooses, say, Madonna.

[25]  That is why it is so important for us as a society,

globally and locally, to try to shape these choices. Of 

course, this is a perennial moral issue, but it is clear

that the greatest obstacle to the appreciation and

adoption of heroes in our society is pervasive and

[30]  corrosive cynicism and skepticism. This obstacle of

cynicism has been seriously increased by scandals

like the steroids mess in sports competitions and by

our leaders’ opportunistic use of heroic imagery for

short term political gain.

[35]  The best antidote to this cynicism is realism about the

limits of human nature. We are cynical because so often

our ideals have been betrayed. We need to separate

out the things that make our heroes noteworthy, and

forgive the shortcomings that blemish their heroic

[40]  perfection. The false steps and frailties of heroic

people make them more like us, and since most of us

are not particularly heroic, that may seem to reduce

the heroes’ stature. But this pulls in the other direction

as well: these magnificent spirits, these noble souls,

[45]  amazingly, they are like us, they are human too.

Again, the critical moral contribution of heroes is the

expansion of our sense of possibility. Heroes can help

us lift our eyes a little higher to build more boldly

and beautifully than others, and we may all benefit

[50]  by their examples. And Heaven knows we need those

examples now. 

SCOTT LABARGE www.scu.edu 

The author claims that skepticism is an obstacle to the adoption of heroes.

The reason for this is best expressed in the following fragment: