Line of Intersection between Planes

Line of Intesection• Given:

Two views of plane ABC and MNOP.

HRPFRP

C

A

B

P

O

M

N

C

B

A

M

N

P

O

HRPFRP

C

A

B

P

O

M

N

C

B

A

M

N

P

O

Line of Intesection

Steps:1.Determine the piercing point R of Line MP on Plane ABC, then locate the piercing point S of line NO, both on the front view.2.Project points R and S to the other view, connect point R to S in both views.3.Line RS is the required LINE OF INTERSECTION between plane ABC and MNOP.4.Check visibility.

R

S

R S

HRPFRP

C

A

B

P

O

M

N

C

B

A

M

N

P

OR

S

Line of Intesection

Checking Visibility1. Project point x (then y)to

FRP. Check what line does the projection line of x intersect first.

2. The line it intersect first is the part of the plane that is visible. The other half is automatically hidden or below the other plane

3. Repeat steps for checking the visibility in FRP.

R S

x

y

LINE OF INTESECTION BETWEEN TWO NON-PARALLEL & NON-INTERSECTING

PLANE SURFACES

Steps:1. Draw 2 parallel lines to the

HRP.

2. Label intersecting points as 1, 2,3,4 for 1 line and 5,6,7,8 for the other line.

3. Project points 1-8 to the other reference plane.

4. Get the intersection of Lines 12 and 34, this is one piercing point.

C

HRPFRP

34 2 1

78 6 5

A

B

D

E

F

C

A

B

D

E

F

O

Steps:5. Get the intersection of

Lines 56 and 78, this is the other piercing point.

6. Connect the 2 piercing points to get the line of intersection.

LINE OF INTESECTION BETWEEN TWO NON-PARALLEL & NON-INTERSECTING

PLANE SURFACES

C

HRPFRP

34 2 1

78 6 5

A

B

D

E

F

C

A

B

D

E

F

P

LOI

O