How are points in space denoted ?
Horizontal projection notation ?
Vertical projection notation ?
A,B,C
a,b,c
a’,b’,c’
Where are projections of a point always situated ?
Both projections (horizontal and vertical) of a point are always situated on straight lines perpendicular to the axis and intersecting the axis at one and the same point.
What is the unfolding orientation of the HP ?
Clockwise unfolding
A point in space is in the I quadrant. When are its horizontal and vertical projection on an orthographic drawing ?
II quadrant ?
III quadrant ?
IV quadrant ?
• First Quadrant: HP below OX, VP above OX
• Second Quadrant: HP above OX, VP above OX
• Third Quadrant: HP above OX, VP below OX
• Fourth Quadrant: HP below OX, VP below OX
Where do we find the vertical projection of any point on HP ?
On coordinate axis.
Where do we find the horizontal projection of any point on VP ?
On coordinate axis
Where is the point if both its projections lie on the coordinate axis ?
On the coordinate axis.
What is the distance y from the horizontal projection of a point to the coordinate axis equal to ?
It’s equal to the distance from the point to VP.
What is the distance z from the Vertical projection of a point to the coordinate axis equal to ?
It’s equal to the distance from the point to HP.
When is z positive ?
When is y positive ?
z>0 for all points above HP
z<0 for all points below HP
y>0 for all points in front of VP
y<0 for all points behind VP
What is the meaning of “Given a point in space” ?
The expression “Given: a point in space” means that a specific point is defined by its coordinates in 3D space, and this point is being used as a reference for further analysis or projection onto the planes.