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

  • Context: Geometry 
  • Thread starter Thread starter songoku
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Discussion Overview

The discussion focuses on finding books that provide explanations and problems related to 2D and 3D geometric figures, specifically addressing concepts such as the Exterior Angle Bisector Theorem and problems involving cubes and tetrahedrons. The scope includes high school level mathematics.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant seeks recommendations for books that explain geometric concepts and provide problems, mentioning specific topics like the Exterior Angle Bisector Theorem and geometric figures such as cubes and tetrahedrons.
  • Another participant inquires whether a proof-heavy text would be acceptable for their needs.
  • A suggestion is made to consider geometry books by Kiselev and titles from the Art of Problem Solving series, including "Introduction to Geometry" and "Euclidean Geometry in Mathematical Olympiads" by Evan Chen.

Areas of Agreement / Disagreement

Participants generally agree on the types of books that may be useful, but there is no consensus on specific titles beyond the suggestions made.

Contextual Notes

There is no indication of the specific content or depth of the recommended books, and the appropriateness of proof-heavy texts remains subjective based on individual preferences.

Who May Find This Useful

Students and educators interested in high school level geometry, particularly those looking for resources that include explanations and problems related to geometric figures.

songoku
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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
 
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Is a proof-heavy text okay?
 
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Muu9 said:
Is a proof-heavy text okay?
no problem
 
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
 
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Thank you very much Muu9
 

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