Igualdade de Triângulos

[i][size=100][b]4.[br][quote]Caso dois triângulos tenham os dois lados iguais [aos] dois lados, cada[br]um a cada um, e tenham o ângulo contido pelas retas iguais igual ao[br]ângulo, também terão a base igual à base, e o triângulo será igual[br]ao triângulo, e os ângulos restantes serão iguais aos ângulos restantes, cada[br]um a cada um, sob os quais se estendem os lados iguais.[/quote][/b][img]data:image/png;base64,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[/img][br][br]Sejam os dois triângulos ABC, DEF, tendo os dois lados AB, AC iguais aos dois lados DE, DF, cada um a cada[br]um, por um lado, o AB ao DE, e, por outro lado, o AC ao DF, e o ângulo sob BAC igual ao ângulo sob EDF. Digo que também a base BC é igual à base EF, e o triângulo ABC será igual ao triângulo DEF, e os ângulos restantes serão iguais aos ângulos restantes, cada um a cada um, sob os quais se estendem os lados iguais, por um lado, o sob ABC ao sob o DEF e, por outro lado, o sob ACB ao sob DFE. Pois, o triângulo ABC, sendo ajustado sobre o triângulo DEF, e sendo posto, por um lado, o ponto A sobre o ponto D, e, por outro lado, a reta AB sobre a DE, também o ponto B se ajustará sobre o E, por ser a AB igual à DE; então, tendo se ajustado a AB sobre a DE, também a reta AC se ajustará sobre a DF, por ser o ângulo sob BAC igual ao sob EDF; desse modo, também o ponto C se ajustará sobre o ponto F, por ser, de novo, a AC igual à DF. Mas, por certo, também o B ajustou-se sobre o E; desse modo, a base BC se ajustará sobre a base EF. Pois se a base BC, tendo, por um lado, o B se ajustado sobre o E, e, por outro lado, o C sobre o F, não se ajustar sobre a EF, duas retas conterão uma área; o que é impossível. Portanto, a base BC ajustar-se-á sobre a EF e será igual a ela; desse modo, também o triângulo ABC todo se ajustará sobre o triângulo DEF todo e será igual a ele, e os ângulos restantes ajustar-se-ão sobre os ângulos restantes e serão iguais a eles, por um lado, o sob ABC ao sob DEF,[br]e, por outro lado, o sob ACB ao sob DFE. Portanto, caso dois triângulos tenham os dois lados iguais [aos] dois[br]lados, cada um a cada um, e tenham o ângulo contido pelas retas iguais igual ao ângulo, também terão a base igual à base, e o triângulo será igual ao triângulo, e os ângulos restantes serão iguais aos ângulos restantes, cada um a cada um, sob os quais se estendem os lados iguais; o que era preciso provar.[/size][/i]
Dificuldades
Acredito que a maior dificuldade do texto num geral é a linguagem utilizada nele e a forma como se é exposto as igualdades ou proposições, como por exemplo:[br][br][i]"Sejam os dois triângulos ABC, DEF, tendo os dois lados AB, AC iguais aos dois lados DE, DF, cada um a cada[br]um, por um lado, o AB ao DE, e, por outro lado, o AC ao DF, e o ângulo sob BAC igual ao ângulo sob EDF."[br][br]Poderia ser proposto da seguinte forma:[br][br]Sejam dois triângulos ABC e DEF, tendo os lados AB e AC, iguais aos lados DE e DF respectivamente, de forma que o lado AB seja igual ao DE e o lado AC igual ao DF, e também o ângulo sob BÂC igual ao ângulo sob EDF.[br][/i]
Explicação encontrada em livro didático
Explicação de Applet
Note no applet acima dois triângulos com dois lados iguais entre eles, ao alterar o valor do ângulo entre estes lados é possível verificar visualmente que eles continuam se mantendo iguais entre si, ao selecionar as caixas para exibir outros valores, é confirmada essa igualdade com valores reais do objeto, como os outros ângulos que se mantem iguais ou lados que não foram dados inicialmente.

Information: Igualdade de Triângulos