Look
around you. What do you see? If you would ask me, I’d say I see geometry.
Geometry is all about shapes and its properties, sizes, and the relative
position of figures. During our nursery and kinder years, we would just be
asked to draw and identify different shapes and its sizes. During our
elementary years, if I remember correctly, the teacher started introducing us
to solving simple geometrical problems on fourth grade. Those were the easy
days, as we progress, Geometry keeps getting more and more complicated.
Our
group started off with a toothpick game. To understand geometry, the first
thing you’d have to keep in mind is to follow the steps or instructions. As
observed, word problems involving geometry consists of instruction or clues for
its illustration and through the illustration, you get to see which formula you’ll
need to use. If you got the illustration wrong, then you might probably have
the answer to the problem wrong too.
We then
had a debate concerning the shapes of buildings. In my opinion, it is actually
nice to see buildings with a base shaped differently other than a square or a rectangle.
For stability, buildings with bases
shaped like a triangle is the best, but for economical purposes, buildings with
rectangular bases are the best.
We ended
with a video presentation about the different types of geometry. There are
three basic types of geometry, these are the Euclidean geometry, elliptic geometry,
and hyperbolic geometry. Euclidean geometry basically consist of the theorems
and rules that we learned on our elementary and high school years. This include
the Pythagorean Theorem, rules for triangles, shapes, areas and angles. We also have a non-Euclidean geometry which is
the elliptic geometry or the Riemannian geometry. Riemannian geometry follows
the axioms of Euclid except that the parallel postulate is replaced by the
axiom that says, "Through any point in the plane, there exist no lines
parallel to a given line." Another non-Euclidean geometry is the
hyperbolic geometry which is also called saddle geometry or Lobachevskian
Geometry. Hyperbolic geometry rejects Euclid’s parallel postulate. Hyperbolic
geometry states that there are at least two points parallel to a given line
through a point that is not found on it.
No comments:
Post a Comment