O Plano Cartesiano: Quadrantes No universo de Jornada nas Estrelas, o termo "quadrante" era usado inicialmente como o termo "setor", meramente para designar uma se\303\247\303\243o numerada da nossa gal\303\241xia. Mais tarde, foi decidido mudar isso (possivelmente por haver mais de quatro quadrantes n\303\243o ser claro). A Via L\303\241ctea foi dividida em quatro quadrantes (Alfa, Beta, Gama, Delta), na seguinte configura\303\247\303\243o: 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 com nosso sistema solar sobre a borda Alfa/Beta e o centro da gal\303\241xia no centro do eixo. Isso foi descrito no epis\303\263dio "O Pre\303\247o", com o sistema sendo usado e shows anteriores. Essa configura\303\247\303\243o n\303\243o no \303\251 sentido hor\303\241rio nem anti-hor\303\241rio, o que talvez tenha sido feito para manter a coer\303\252ncia com os epis\303\263dios anteriores.

Nessa apresenta\303\247\303\243o, vamos definir os termos quadrante, eixo, e origem. Assumiremos que voc\303\252 est\303\241 familiarizado com esses termos adicionais, que s\303\243o definidos em outras apresenta\303\247\303\265es dessa cole\303\247\303\243o: Plano Cartesiano, reta numerada, e coordenadas.

O que \303\251 um quadrante? Podemos atribuir coordenadas a qualquer ponto em um plano usando duas retas numeradas que se interseptam em \303\242ngulos retos. Essas duas retas num\303\251ricas, cada qual chamada eixo (no plural eixos), dividem o plano em quatro se\303\247\303\265es, chamados quadrantes. Comumente, o eixo x \303\251 a reta horizontal e o eixo y a reta vertical. O ponto onde os eixos x e y se interseptam \303\251 a origem, com coordenadas LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYlLUYjNictSSNtbkdGJDYlUSIwRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSIsRidGNEY3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY0RjdGNEY3RjRGNw==. Em matem\303\241tica, quadrantes s\303\243o comumente representados com numerais Romanos, partindo do eixo x positivo e no sentido anti-hor\303\241rio como a seguir: 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 Os quatro quadrantes do Plano Cartesiano Os quadrantes correspondem a diferentes associa\303\247\303\265es para os sinais dos eixos coordenados x e y: no primeiro quadrante, tanto as coordenadas x quanto y s\303\243o positivas; no segundo quadrante, a coordenada x \303\251 negativa e a y \303\251 negativa; no terceiro quadrante, tanto as coordenadas x quanto y s\303\243o negativas; e no quarto quadrante, as coordenadas x s\303\243o positivas e as coordenadas y s\303\243o negativas. Nota: Pontos que est\303\243o localizados nos eixos x ou y n\303\243o est\303\243o em nenhum quadrante.

Clique em qualquer lugar no "Gr\303\241fico de Quadrantes Demonstrativo" e ele mostrar\303\241 o ponto que voc\303\252 selecionou, as coordenadas desse ponto e o quadrante a qual ele pertence. #M3_1_2b:-QuadDemoEndDrag(); M3_1_2b:-QuadDemoClick();#M3_1_2b:-QuadDemoDrag();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