Books about 2D and 3D figures with explanations and problems?

In summary, the conversation discusses the search for books that can provide explanations and answer questions about specific mathematical concepts, such as the Exterior Angle Bisector Theorem, distance calculations in a cube, and lengths in a regular tetrahedron. The books recommended for this purpose include those by Kiselev, the Art of Problem Solving Introduction to Geometry, and Euclidean Geometry in Mathematical Olympiads by Evan Chen. The preferred level for these books is high school.
  • #1
songoku
2,289
324
I am looking for books that contain explanations (or to be able to answer) about something like this:

1) Exterior Angle Bisector Theorem
The external angle bisector of a triangle divides the opposite side externally in the ratio of the sides containing the angle. This condition occurs usually in non-equilateral triangles.

2) Given cube ABCDEFGH with side 2 units and line DF passes through plane ABGH at point T. Find distance ET

3) Given regular tetrahedron TABC with side 3 cm. M is mid point of AT and N is mid point of BC. Find length of MNAny books are ok but preferably high school level.

Thank you
 
Physics news on Phys.org
  • #2
Is a proof-heavy text okay?
 
  • Like
Likes songoku
  • #3
Muu9 said:
Is a proof-heavy text okay?
no problem
 
  • #4
Try the two geometry books by Kiselev, or the Art of Problem Solving Introduction to Geometry or Euclidean Geometry in Mathematical Olympiads by Evan Chen
 
  • Like
Likes songoku
  • #5
Thank you very much Muu9
 

1. What is the difference between 2D and 3D figures?

2D figures are flat and have only two dimensions - length and width. 3D figures have three dimensions - length, width, and depth, making them more realistic and tangible.

2. Why are books about 2D and 3D figures important?

Understanding 2D and 3D figures is essential in many fields, such as architecture, engineering, and computer graphics. These books provide explanations and problems that help develop critical thinking and spatial reasoning skills.

3. How can these books help improve problem-solving skills?

Books about 2D and 3D figures often include a variety of problems that require students to analyze and apply their knowledge to find solutions. This process helps improve problem-solving skills and prepares students for real-world challenges.

4. Are there any real-life applications for understanding 2D and 3D figures?

Yes, there are many real-life applications for understanding 2D and 3D figures. For example, architects use 3D figures to design buildings, engineers use 2D and 3D figures to create blueprints, and artists use 2D and 3D figures to create realistic drawings and sculptures.

5. Are these books suitable for all ages?

Books about 2D and 3D figures are available for all ages, from children's books with simple explanations and illustrations to advanced textbooks for college students. It is essential to choose a book that is appropriate for the reader's level of understanding.

Similar threads

Exploring Equation of a Straight Line in 3D Space
    • Precalculus Mathematics Homework Help
Replies
17
Views
978
MHB Finding a particular angle withion Johnson Solid J2
    • General Math
Replies
2
Views
2K
To find the ratio of forces around a right triangle
    • Introductory Physics Homework Help
Replies
2
Views
914
B Calc Excess Rad on Earth in Curved 3D Space | Feynman Lectures 6-2
    • Special and General Relativity
Replies
29
Views
1K
To find the resultant of forces on a lamina
    • Introductory Physics Homework Help
Replies
5
Views
2K
Euclidean and non Euclidean geometries problems
    • Precalculus Mathematics Homework Help
Replies
4
Views
3K
How to find the forces in a particular framework of light rods
    • Introductory Physics Homework Help
Replies
11
Views
1K
What's it called when a 3D shape can be made of 2D surfaces of all the same size
    • Differential Geometry
Replies
4
Views
6K
Understanding Curl in 2D/3D Space
    • Other Physics Topics
Replies
1
Views
1K
I Find an explicit formula for this n-sum problem
    • General Math
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top