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Euclid
~300 B.C., Greek, Father of Geometry, wrote “Elements”, developed bade for all future discoveries of geometry.
5 Postulates
two points determine one straight line
a straight line extends indefinitely in either direction
a circle may be drawn w given center and any radius
all right angles are equal
given a line k and point p not on the same line, there is only one line m through p that is parallel to k.
Postulate
“duh” statement
to assume or claim as true or existent
Theorem
statements that can be proved
and HAS been proved
Point
has no actual size, used to rep an object or location in space.
Line
has no thickness or width, reps and continuous set of linear points that extend indefinitely.
Plane
has no thickness width, or depth, used to rep a flat surface that extends in all directions indefinitely.
Euclidean Geometry
not curved, straight.
Non-Euclidian Geometry
Based on curved surfaces like earth or saddle. (hyperbolic and spherical.)
Colinear
set of points that lie on the same line.
Space
set of all points, boundless and 3 dimensional space.
Noncollinear
set of points that do NOT lie on the same line.
Coplanar
points and or lines that lie on the same plane.
NonCoplanar
points and or lines that are not on the same line.
Skew Lines
2 noncoplanar lines that do not intersect.
Note 
Flashcard (83)