Download - Gd vol 2 - interseções de poliedros
![Page 1: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/1.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Geometria Descritiva II INTERSEÇÕES DE SUPERFÍCIES
Prof. Marcelo Gitirana
![Page 2: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/2.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Método Geral
![Page 3: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/3.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Interseção Entre 2 SuperfíciesLinha de
interseção
![Page 4: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/4.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Método Geral (para encontrar I)
Plano () qualquer
![Page 5: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/5.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Método Geral (para encontrar I)
Linha (a): interseção de
() com a superfície
azul
Elipse (b): interseção de
() com o cone marrom
Pontos (M) e (N) - interseções entre
a linha (a) e a elipse (b) –
também pertencem à linha
I
Com o auxílio de diversos outros planos paralelos a (), obtemos a
figura I, interseção entre a superfície azul e o cone marrom
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Prof. Marcelo Gitirana (Design – UDESC)
Tipos de Interseção
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Prof. Marcelo Gitirana (Design – UDESC)
Tipos de Interseção
Parcial ou Engastament
o
Total ou Penetração
Tangencial
Mútua ou Máxima
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Prof. Marcelo Gitirana (Design – UDESC)
Interseções
![Page 9: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/9.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Exemplo 1
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Prof. Marcelo Gitirana (Design – UDESC)
Superfície A
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Prof. Marcelo Gitirana (Design – UDESC)
Superfície B
![Page 12: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/12.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Superfícies A e B Juntas
![Page 13: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/13.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano () ()
Interseção de () com
a superfície
BInterseção de () com
a superfície
A
Interseção de () com
a superfície
A
Ponto 1 Ponto 2
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Prof. Marcelo Gitirana (Design – UDESC)
Plano
() ()
![Page 15: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/15.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Planos Intermediários 1
(1) (1)
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Prof. Marcelo Gitirana (Design – UDESC)
Planos Intermediários 2
(2) (2)
![Page 17: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/17.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Obtendo a interseção
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Prof. Marcelo Gitirana (Design – UDESC)
Exemplo 2
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Prof. Marcelo Gitirana (Design – UDESC)
Superfície A (Pirâmide)
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Prof. Marcelo Gitirana (Design – UDESC)
Superfície B (Prisma)
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Prof. Marcelo Gitirana (Design – UDESC)
Ambas as superfícies
![Page 22: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/22.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Sem as linhas de construção
![Page 23: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/23.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano
() ()
![Page 24: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/24.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano
() ()
![Page 25: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/25.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano
() ()
![Page 26: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/26.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano 2
( 2) ( 2)
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Prof. Marcelo Gitirana (Design – UDESC)
Plano 3
( 3) ( 3)
![Page 28: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/28.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Plano 4
( 4) ( 4)
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Prof. Marcelo Gitirana (Design – UDESC)
Plano 5
( 5) ( 5)
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Prof. Marcelo Gitirana (Design – UDESC)
Ligando os pontos
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Prof. Marcelo Gitirana (Design – UDESC)
Pirâmide secionada
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Prof. Marcelo Gitirana (Design – UDESC)
Planificação
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Prof. Marcelo Gitirana (Design – UDESC)
Planificação da pirâmide
![Page 34: Gd vol 2 - interseções de poliedros](https://reader036.vdocuments.pub/reader036/viewer/2022062308/55b14a53bb61eb63338b46f5/html5/thumbnails/34.jpg)
Prof. Marcelo Gitirana (Design – UDESC)
Fim