"Construction" in Geometry means to draw shapes, angles
or lines accurately.
These constructions use only compass, straightedge (i.e.
ruler) and a pencil.
This is the "pure" form of geometric construction - no
numbers involved!
Learn these two first, they
WorkfileContents.docx
1
06/13/2014
Proof Problem
1.1) First, we wish to show that
Let
.
. Then
or
.
case 1:
so that
so that
and
so that
case 2:
and
so that
so that
and
so that
Since in both cases,
, we know
that
Now we wish to show that
.
Let
. Then
and
.
MATH3315
Homework
Rewrite the axioms, using the words student for point and
committee for line.
1
2
3
4
Solution:
There exist exactly three students in the geometry.
Two different students are on exactly one committee.
Not all the students of the geometry