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
Cual es el valor de 5´3
castortr0y [4]

Answer:

I'm 5,5................

5 0
2 years ago
Mariam Ali
Mekhanik [1.2K]

\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star

18 ÷ 3

= 6/1

Option [a] 6 to 1 is correct !

7 0
3 years ago
i need help i hvae done everything but i dont know what i did wrong i did £11.40-£20=£8.60 but it says its wrong how?
Licemer1 [7]

Answer: It said <u>2</u> chickens, not 3.

Also, when you got your final answer, you have to subtract it from 20, because you want to find the change.

Step-by-step explanation:

This is the mistakes I saw, and I mentioned them above. :)

3 0
3 years ago
Read 2 more answers
in coordinates plane, what is the length of the line segment that connects points at (4, -1) and (9, 7) ? round to the nearest h
Travka [436]

Answer:

<h2>17.72</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (4, -1) and (9, 7). Substitute:

d=\sqrt{(9-4)^2+(7-(-10))^2}=\sqrt{5^2+17^2}=\sqrt{25+289}=\sqrt{314}\approx17.72

4 0
3 years ago
CAN SOMEONE PLEASE HELP ME
I am Lyosha [343]
The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Look at the screen shot
    7·1 answer
  • Give coordinates for any three points that are on the same horizontal line. Include at least one point that has a fraction as a
    13·1 answer
  • Estimate the square root of 51
    11·2 answers
  • A carnival is selling ride tickets 5 for $6, 10 for $12, or 15 for $18. What is
    9·2 answers
  • A prism has a volume of 56. If the dimensions of the prism are tripled, what is
    6·2 answers
  • PLEASE HELP!!!
    13·2 answers
  • help pls!!! Classify the following question: “President, vice president, and secretary are being chosen for the Environmental Cl
    15·2 answers
  • Click on my profile and answer my unanswered questions plz and thx don't take the points or else u will be reported....thx
    10·1 answer
  • Please help me :( ..​
    11·1 answer
  • Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!