The document defines key terms in solid mensuration. It defines point, line, and plane as undefined terms and space, collinear points, coplanar points, and intersection as defined terms. Point is an indicator of position without width, length, or depth. A line extends indefinitely in either direction without width. A plane is a flat surface that extends indefinitely. Space is the set of all points. Collinear points lie on the same line while coplanar points lie on the same plane.

1. SOLID MENSURATION
MATH 005A
Lecture #1
•
Undefined terms
a. Point
b. Line
c. Plane
•
Defined terms
a. Space
b. Collinear and non-collinear points
c. Coplanar and Non-Coplanar Points
d. Intersection

2. Undefined Terms
UNDEFINED
TERMS
DESCRIPTION
POINT
-
Indicator of a position
A point does not occupy an area. It
does not have any width, length or
depth
LINE
-
NOTATION
A collection of points that extends
indefinitely in either direction. It does not
have any width
Since it extends indefinitely. A line is
denoted as a segment with arrows on
either end.
-
PLANE
-
A set of points contained in a flat
surface and extends indefinitely in all
directions
A plane is commonly denoted as a
closed four-sided figure.
D
Plane D

3. Defined Terms
Space – is the set of all points.
 Collinear points – are the points that lie on the same
line.

D
•
E
N
Non-collinear points are points that do not lie on the
same line
A
M
•
N
Coplanar points – are points that lie on the same
plane.

4. 
Non-coplanar points - are points that do not lie on tha
same plane.
QRST
D
M
E
Points Q, R, S and T and Points D,M and R are coplanar
points while points D, M, R, Q, S, T, and E are non-coplanar
points.

5. Exercises. TRUE OR FALSE


6. Seatwork
