Download Spherical Geometry Notes

SIMMS Level 3 Module 14 Activity 3
Spherical Geometry Notes Key
No.
1
2
3
4
5
6
7
8
Euclidian Fact
Two points
determine a line
Picture
Spherical Fact
A great circle
forms a line
B
A
2 lines intersect at
one point (and form
4 angles)
Through a point not
on a line there
exists one parallel
line
2
3
4
1
P
56
87
12
43
No parallel lines
exist in spherical
geometry
Perpendicular lines
intersect twice and
form 8 right angles
3 non-collinear
points form a
triangle
3 non-collinear
points form a
triangle
Triangle sum is
1800.
Triangle sum is
greater than 180
and less than 540
2
3
A triangle can have
one obtuse angle
(one right angle)
A triangle can have
more than one
obtuse angle (one
right angle)
Each angle measure
of an equiangular
triangle is 60.
Each angle measure
of an equiangular
triangle can vary.
Page 1 of 1
B
A
2 lines intersect at
two points(and
form 8 angles)
Perpendicular lines
form 4 right angles
1
Picture
56
87
12
43
B
A
C