lecture 12

background image

Monge’s projection

Polyhedrons

– right prism

background image
background image

A'

Polyhedrons

Right prism

A"

C'

B'

D"

B"

C"

A

1

"

D

1

"

1"

2"

3"

a

"

4'

1'

b

"

=2'

=3'

A'=A

1

'

D'=D

1

'

1"=4"

=

p

2

'

X

12

=

p

1

"

background image

A"

D'=D

1

'

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

2"

3"

a

"

4'

1'

b

"

A'=A

1

'

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

2"

3"

P

1

"

P

2

"

a

"

p"

p'

P

1

'

P

2

'

4'

1'

b

"

D'=D

1

'

A'=A

1

'

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

2"

3"

P

2

"

a

"

p"

p'

P

2

'

4'

1'

b

"

D'=D

1

'

A'=A

1

'

P

1

"

P

1

'

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

2"

3"

P

2

"

a

"

p"

p'

P

2

'

4'

1'

b

"

D'=D

1

'

A'=A

1

'

P

1

"

P

1

'

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

2"

3"

P

2

"

a

"

p"

p'

P

2

'

4'

1'

b

"

D'=D

1

'

A'=A

1

'

P

1

"

P

1

'

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

D'=D

1

'

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

1

x

2"

3"

3

x

P

2

"

a

"

p"

p'

P

2

'

4'

1'

C

B

A

D

C

C

D

3

4

D

1

A

1

P

2

P

1

1

4

D

1

2

3

b

"

A'=A

1

'

P

1

"

P

1

'

2

3

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

D'=D

1

'

A"

C'=3'

B'=2'

D"

B"

C"

A

1

"

D

1

"

1"=4"

1

x

2"

3"

3

x

P

2

"

a

"

p"

p'

P

2

'

4'

1'

C

B

A

D

C

C

D

3

4

D

1

A

1

P

2

3

1

4

D

1

2

b

"

A'=A

1

'

P

1

"

P

1

'

P

1

2

3

=

p

2

'

X

12

=

p

1

"

Polyhedrons

Right prism

background image

Monge’s projection

Polyhedrons

– slant prism

background image

Polyhedrons
Slant prism

a

"

A'

C'

B'

A"

B"

C"

K"

L"

M"

M'

K'

L'

=

p

2

'

X

12

=

p

1

"

background image

a

"

A'

C'

B'

A"

B"

C"

K"

L"

M"

M'

K'

L'

B

=C

=M

A

K

L

M

K

C

A

e

A

=

p

2

'

X

12

=

p

1

"

Polyhedrons
Slant prism

background image

a

"

A'

C'

B'

A"

B"

C"

K"

L"

M"

M'

K'

L'

B

=C

=M

A

K

L

K

C

A

M

=

p

2

'

X

12

=

p

1

"

Polyhedrons
Slant prism

background image

a

"

A'

C'

B'

A"

B"

C"

K"

L"

M"

M'

K'

L'

B

=C

=M

A

K

L

K

C

A

P

1

a

1"

a"

P"

1'

a'

P'

M

=

p

2

'

X

12

=

p

1

"

Polyhedrons
Slant prism


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