geometry in real lfe, does that include phi???

Question

i need this, quick!!!

Answer 1

yes, it definitely could

Answer 2

Euclid, the Greek mathematician of about 300BC, wrote the Elements which is a collection of 13 books on Geometry (written in Greek originally). It was the most important mathematical work until this century, when Geometry began to take a lower place on school syllabuses, but it has had a major influence on mathematics.
It starts from basic definitions called axioms or "postulates" (self-evident starting points). An example is the fifth axiom that

there is only one line parallel to another line through a given point.
From these Euclid develops more results (called propositions) about geometry which he proves based purely on the axioms and previously proved propositions using logic alone. The propositions involve constructing geometric figures using a straight edge and compasses only so that we can only draw straight lines and circles.
For instance, Book 1, Proposition 10 to find the exact centre of any line AB
Put your compass point on one end of the line at point A.
Open the compasses to the other end of the line, B, and draw the circle.
Draw another circle in the same way with centre at the other end of the line.
This gives two points where the two red circles cross and, if we join these points, we have a (green) straight line at 90 degrees to the original line which goes through its exact centre.
In Book 6, Proposition 30, Euclid shows how to divide a line in mean and extreme ratio which we would call "finding the golden section G point on the line". He describes this geometrically.

<-------- 1 --------->
A G B
g 1–g

Euclid used this phrase to mean the ratio of the smaller part of this line, GB to the larger part AG (ie the ratio GB/AG) is the SAME as the ratio of the larger part, AG, to the whole line AB (ie is the same as the ratio AG/AB). We can see that this is indeed the golden section point if we let the line AB have unit length and AG have length g (so that GB is then just 1–g) then the definition means that GB = AG i.e. using the lengths of the sections 1-g = g

AG AB g 1
which we rearrange to get 1 – g = g2.
Notice that earlier we defined Phi2 as Phi+1 and here we have g2 = 1–g or g2+g=1.
We can solve this in the same way as for Phi and we find that
g = –1 +5 or g = –1 – 5


2
2


So there are two numbers which when added to their squares give 1. For our geometrical problem, g is a positive number so the first value is the one we want. This is our friend phi also equal to Phi–1 (and the other value is merely –Phi).
It seems that this ratio had been of interest to earlier Greek mathematicians, especially Pythagoras (580BC - 500BC) and his "school". There is an interesting article on The Golden ratio at the St Andrew's MacTutor History of Mathematics site.

Answer 3

One of the most influential mathematicians of ancient Greece, Euclid, lived around 300 B.C. For his work in the field of geometry he is known as the father of geometry. He created the geometry called Euclidean Geometry. Very little is known about his life. It is believed that he was educated at Plato's academy in Athens, Greece. Most sources believe that he lived somewhere around 300 B.C. His 13 books, the Elements, are some of the most famous books in the world. He wrote them at about 300 B.C. According to Proclus (410-485 A.D.) he said that Euclid came after the first pupils of Plato and lived during the reign of Ptomlemy I (306-283 B.C.). It is said that Euclid established a mathematical school in Alexandria.

Most history states that he was a kind, fair, patient man. One story that reveals something of his character, concerns a pupil that has just finished his first geometry lesson. The pupil asked what he would gain from learning geometry. So Euclid told his slave to get the pupil a coin so he would be gaining from his studies. Another story says that Ptomlemy asked the mathematician if there was an easier way to learn geometry, Euclid replied, "there is no royal road to geometry", and sent the king to study.


His Books
Euclid wrote many books such as: Data, On Divisions of Figures, Phaenomena, Optics, the lost books Conics and Porisms, and the most famous the Elements. This 13 volume set laid the foundation for almost all geometry. His 13 volume series eventually became the most influential geometry textbook. Quite possibly the most important book of the Elements is the first book. It has the definitions of: points, lines, planes, angles, circles, triangle, quadrilaterals, and parallel lines.

Elements
The Elements was later translated into Latin and Arabic and is one of the earliest works to survive. The first printed copy was released in 1482. During this period Euclid was respected highly as a mathematician and the Elements were considered one of the greatest matematical works of all time. The postulates in Book I fit the geometry known as Euclidean Geometry. Euclidean Geometry fits both synthetic and plane coordinate geometry.


His five postulates may be translated into the following:
Two points determine a line.
A line segment extended infinitely in both directions produces a straight line.
A circle is dertermined by a center and a distance.
All right angles are equal to one another.
If a straight line falling on two straight lines forms interior angles on the same side less than 180°, the two straight lines, if produced indefinitely, will meet on that side.

Important Facts to know
Euclid lived from about 330? to 275? B.C.
He wrote the 13 Elements.
Because of his work in the field of geometry he is called the father of geometry.
Most geometry is so named Euclidian Geometry because of his thirteen Elements which summarized most of the geometry during his time.
By the 1700's the Elements was the text book.

Answer 4

If you are talking about Pi yes it does
if you are talking about Phi the golden ratio 1.618 that is a factor is design and art so I would guess it would also

Answer 5

Why? It is very important. How will you calculate area & circumference of a circle.