1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondaur [170]
1 year ago
15

Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings o

f Euclid, in which he describes the relationships between points, lines, and planes without any numerical measurement. You saw evidence of Euclidean geometry inside several proofs and geometric constructions.
In contrast, the focus of this unit is understanding geometry using positions of points in a Cartesian coordinate system. The study of the relationship between algebra and geometry was pioneered by the French mathematician and philosopher René Descartes. In fact, the Cartesian coordinate system is named after him. The study of geometry that uses coordinates in this manner is called analytical geometry.

It’s clear that this course teaches a combination of analytical and Euclidean geometry. Based on your experiences so far, which approach to geometry do you prefer? Why? Which approach is easier to extend beyond two dimensions? What are some situations in which one approach to geometry would prove more beneficial than the other? Describe the situation and why you think analytical or Euclidean geometry is more applicable.
Mathematics
1 answer:
Natalka [10]1 year ago
6 0
  1. Based on my experiences so far, an approach to geometry which I prefer is Euclidean geometry because it's much easier than analytical geometry.
  2. Also, an approach that is easier to extend beyond two-dimensions is Euclidean geometry because it can be extended to three-dimension.
  3. A situation in which one approach to geometry would prove to be more beneficial than the other is when dealing with flat surfaces.
  4. In Euclidean geometry, a correspondence can be established between geometric curves and algebraic equations.

<h3>What are the Elements?</h3>

The Elements can be defined as a mathematical treatise which comprises 13 books that are attributed to the ancient Greek mathematician who lived in Alexandria, Ptolemaic Egypt c. 300 BC and called Euclid.

Basically, the Elements is a collection of the following geometric knowledge and observations:

  • Definitions
  • Postulates
  • Propositions
  • Mathematical proofs of the propositions.

Based on my experiences so far, an approach to geometry which I prefer is Euclidean geometry because it's much easier than analytical geometry.  Also, an approach that is easier to extend beyond two-dimensions is Euclidean geometry because it can be extended to three-dimension.

A situation in which one approach to geometry would prove to be more beneficial than the other is when dealing with flat surfaces. In Euclidean geometry, a correspondence can be established between geometric curves and algebraic equations.

Read more on Euclidean here: brainly.com/question/1680028

#SPJ5

You might be interested in
Which fraction is equivalent to 8
pentagon [3]

Answer:

16/2

Step-by-step explanation:There is a whole variety of fractions that simplify to 8, including this one. The trick is to find a numerator that is divisible by a denominator to get to 8.

3 0
3 years ago
Read 2 more answers
F(1)=15<br> f(n)=f(n-1)*n<br> What does f(2) equal?
Arlecino [84]

Answer:

f(2) =30

Step-by-step explanation:

f(1)=15

f(n)=f(n-1)*n

Put in n=2

f(2)=f(2-1)*2

     = f(1) *2

      = 15*2

       =30

3 0
3 years ago
Read 2 more answers
Ax-4y=-1. (6,1) find coefficient write complete equation
Rom4ik [11]
I think the answer is a=2
7 0
3 years ago
What number should be added to both sides of the equation to complete the square? x2 8x = 4
Levart [38]
You would take half of the x term...and square it
so half of 8 is 4....4^2 = 16
u would add 16 to each side
6 0
3 years ago
Read 2 more answers
A museum curator is hanging 7 paintings in a row for an exhibit. There are 4 Renaissance paintings and 3 Baroque paintings. From
Marina CMI [18]

Answer:

144 ways

Step-by-step explanation:

Number of paintings = 7

Renaissance = 4

Baroque = 3

We are hanging from left to right and we will first hang Renaissance painting before baroque painting.

For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24

For baroque we have 3! Ways of doing so. 3x2x1 = 6

We have 4!ways x 3!ways

= (4x3x2x1) * (3x2x1) ways

= 144 ways

Therefore we have 144 ways to hang the painting.

6 0
3 years ago
Other questions:
  • At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each a
    13·1 answer
  • the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9
    10·1 answer
  • HELP PLZ ASAP I BEG U
    15·1 answer
  • Find the value please
    15·1 answer
  • Macy wants to know if the number of words on a page in her grammar book is generally more than the number of words on a page in
    6·1 answer
  • What is the equation given a slope of 5 and a y-intercept of 12?​
    6·1 answer
  • Karissa determines the area of her desk by multiplying 45.72 centimeters and 60.95 centimeters. She states that the area is 2786
    12·1 answer
  • Helpppppppppp me plzz
    10·1 answer
  • X+y=2 x-y=4 solve using elimination
    12·1 answer
  • Madison works part time at a local farm. She makes $10.00 an hour for cleaning the animals
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!