GEOMETRIA DESCRITIVA – UNIDADE 01 - .11 GEOMETRIA DESCRITIVA – UNIDADE 04 POSIÇÃO RELATIVA

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GEOMETRIA DESCRITIVA UNIDADE 01

GEOMETRIA DESCRITIVA

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PLANO DE PROJEO

PHA ( ) _______________________ PHP ( ) _______________________ I DIEDRO: _____________________ PVS ( ) _______________________ II DIEDRO: ____________________ PVI ( ) ________________________ III DIEDRO: ____________________

LT ( ) ______________________ IV DIEDRO: ____________________

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GEOMETRIA DESCRITIVA UNIDADE 01

Linha Terra ( LT ) _______________________________________________________

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ngulo Diedro __________________________________________________________

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PURA

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PLANIFICAO DO SISTEMA

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GEOMETRIA DESCRITIVA UNIDADE 02

ESTUDO DO PONTO Um ponto pode ser representado por suas coordenadas descritas. A (X, Y, Z) sendo: X - ______________________________ Y - ______________________________ Z - ______________________________ ABISCISSA: ______________________________________________________________________

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AFASTAMENTO:

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COTA:

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POSIES DE UM PONTO:

Exerccios: A (3,2,3) B (2,2,3) C (2,0,2) D (0,2,1) E (2,0,0) F (2,2,0)

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GEOMETRIA DESCRITIVA UNIDADE 03

ESTUDO DA RETA ______________________________________________________________________________

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REPRESENTAO DA RETA

Exerccios:

1) A (3,2,3)

B (2,2,3)

2) C (2,2,3)

D (2,1,3)

3) E (3,2,3)

F (1,4,3)

4) G (2,3,2)

H (2,3,3)

5) I (4,2,3)

J (2,2,4)

6) L (3,3,1)

M (3,1,3)

Representao Plana

Representao Espacial

Representao em pura

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GEOMETRIA DESCRITIVA UNIDADE 03

POSIES DA RETA - Em relao a um plano: __________________________________________________________________________________________________________________________________________________________

A) _____________________________________________________________________ B) _____________________________________________________________________ C) _____________________________________________________________________

- Em relao aos planos de projeo: __________________________________________________________________________________________________________________________________________________________

1- Fronto-horizontal 2- Reta horizontal (Reta de nvel) 3- Reta frontal ou Reta de frente 4- Reta de topo 5- Reta vertical 6- Reta de perfil 7- Reta oblqua (Reta genrica ou Reta qualquer)

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1- Fronto-horizontal ou reta paralela linha de terra

Caractersticas: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Representao em pura: A (4,2,3) B (1,2,3)

Trao de uma reta: _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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2- Reta Horizontal (Reta de nvel)

Caractersticas: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao espacial e em pura: A (4,1,2) B (1,4,2)

3- Reta frontal ou reta de frente

Caractersticas: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao espacial e em pura: A (4,2,1) B (1,2,4)

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4- Reta de topo

Caractersticas: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao em pura: A (3,1,2) B (3,4,2)

5- Reta vertical

Caractersticas: ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Representao em pura: A (3,2,1) B (3,2,4)

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6- Reta de perfil

Caractersticas: _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________ Representao em pura: A (3,4,1) B (3,1,4) A (3,1,3) B (3,4,4)

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7- Reta oblqua (reta genrica ou reta qualquer)

Caractersticas: _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________________________ Representao em pura: A (3,2,1) B (4,1,3)

RESUMO

Representao da reta em pura, no I DIEDRO

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GEOMETRIA DESCRITIVA UNIDADE 04

POSIO RELATIVA DE DUAS RETAS

Duas retas no espao podem ser: 1) Retas Coplanares: paralelas e concorrentes. 2) Retas no-coplanares: reversas e reversas ortogonais. RETAS PARALELAS Duas retas so paralelas quando satisfazem as seguintes condies. 1- Quando as projees do mesmo nome se apresentam paralelas.

A (4,3,3) B (1,1,1) C (4,2,4) D (1,0,2) 2-Quando as projees do mesmo nome so paralelas em um plano e coincidentes em outro.

A (4,4,4) B (1,1,1) C (4,4,3) D (1,1,0)

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3-Quando as projees do mes