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| Uploaded: | 2026-10-07 |
| Last sync: | 2026-10-07 18:00 |
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Geometry can be both pretty simple and dauntingly complex. But understanding it helps you build the bridge between your intuition and the search for mathematical truth. Just like line segments come together to make complicated shapes, the little truths of geometry stack together into a huge mathematical concept: proof.
_________________________________________________________________________
Follow us on socials!
Twitter: https://twitter.com/gostudyhall
Facebook: https://www.facebook.com/GoStudyHall
Instagram: https://www.instagram.com/gostudyhall/
__________________________________________________________________________
Chapters:
0:00 - Introduction
1:51 - Geometry basics
4:21 - Geometric proof
9:40 - How geometry explains everything
10:45 - Conclusion
__________________________________________________________________________
Sources:
http://www.geom.uiuc.edu/~banchoff/Flatland/
http://www.geom.uiuc.edu/~banchoff/Flatland/
https://www.mathnasium.com/math-terms/geometry
https://uwaterloo.ca/pure-mathematics/about-pure-math/what-is-pure-math/what-is-geometry
https://www.feynmanlectures.caltech.edu/II_42.html
https://en.wikipedia.org/wiki/Tesseract
https://plus.maths.org/10-dimensions-and-more-string-theory
https://mcckc.edu/tutoring/docs/blue-river/math/basic/Basic_Geometric_Terms.pdf
http://www.geom.uiuc.edu/~banchoff/Flatland/
https://www.open.edu/openlearn/science-maths-technology/mathematics-statistics/geometry/content-section-1.1
https://www.govst.edu/uploadedFiles/Academics/Colleges_and_Programs/CAS/Trigonometry_Short_Course_Tutorial_Lauren_Johnson.pdf
https://www.splashlearn.com/math-vocabulary/geometric-shapes
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections
https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-2d-vs-3d/a/solid-geometry-vocabulary
https://scgp.stonybrook.edu/archives/29958
https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/non_Euclid_Euclid/index.html
https://exhibits.udayton.edu/s/rosebook/page/euclid
https://www.cuemath.com/data/deductive-reasoning/
https://exhibits.udayton.edu/s/rosebook/page/euclid
https://www.math.purdue.edu/~goldberg/Math460/Euclid-BKI.pdf
https://byjus.com/maths/transversal/
https://flexbooks.ck12.org/cbook/ck-12-basic-geometry-concepts/section/3.3/primary/lesson/corresponding-angles-bsc-geom/
https://www.mathopenref.com/degrees.html
https://www.merriam-webster.com/dictionary/supplementary%20angle
https://www.mathnasium.com/math-terms/transitive-property
https://tutoring.k12.com/articles/math/properties-of-equality-key-principles-in-algebra/
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/proof-vertical-angles-are-equal
https://www.geeksforgeeks.org/maths/geometric-proofs-for-polygons/
https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruence-theorems/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180
https://www.vcccd.edu/sites/default/files/departments/human-resources/sabbaticals/2017-2018/paulcurtis-sabbaticalfinalrpt-fall2017-proofsinlinearalgebra.pdf
https://web.williams.edu/Mathematics/sjmiller/public_html/341Fa16/handouts/ProbLifesaver_ProofTechniques.pdf
https://wildearthlab.com/2021/10/24/tree-height/
https://www.stemlytutoring.com/blog/connecting-math-world-impact-geometry-reality
https://medium.com/@jchjcck/the-geometry-of-the-heavens-dd5fc836f7c4
https://aaa.org/2023/07/01/calculating-the-distance-to-nearby-stars-the-stellar-parallax/
https://www.mathwords.com/n/n_dimensions.htm
https://in2infinity.com/theory/geo-quantum-mechanics/
https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/general_relativity_massive/index.html
https://www.astronomy.com/science/do-we-know-how-many-dimensions-there-are/
Geometry can be both pretty simple and dauntingly complex. But understanding it helps you build the bridge between your intuition and the search for mathematical truth. Just like line segments come together to make complicated shapes, the little truths of geometry stack together into a huge mathematical concept: proof.
_________________________________________________________________________
Follow us on socials!
Twitter: https://twitter.com/gostudyhall
Facebook: https://www.facebook.com/GoStudyHall
Instagram: https://www.instagram.com/gostudyhall/
__________________________________________________________________________
Chapters:
0:00 - Introduction
1:51 - Geometry basics
4:21 - Geometric proof
9:40 - How geometry explains everything
10:45 - Conclusion
__________________________________________________________________________
Sources:
http://www.geom.uiuc.edu/~banchoff/Flatland/
http://www.geom.uiuc.edu/~banchoff/Flatland/
https://www.mathnasium.com/math-terms/geometry
https://uwaterloo.ca/pure-mathematics/about-pure-math/what-is-pure-math/what-is-geometry
https://www.feynmanlectures.caltech.edu/II_42.html
https://en.wikipedia.org/wiki/Tesseract
https://plus.maths.org/10-dimensions-and-more-string-theory
https://mcckc.edu/tutoring/docs/blue-river/math/basic/Basic_Geometric_Terms.pdf
http://www.geom.uiuc.edu/~banchoff/Flatland/
https://www.open.edu/openlearn/science-maths-technology/mathematics-statistics/geometry/content-section-1.1
https://www.govst.edu/uploadedFiles/Academics/Colleges_and_Programs/CAS/Trigonometry_Short_Course_Tutorial_Lauren_Johnson.pdf
https://www.splashlearn.com/math-vocabulary/geometric-shapes
https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-conic-sections
https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-2d-vs-3d/a/solid-geometry-vocabulary
https://scgp.stonybrook.edu/archives/29958
https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/non_Euclid_Euclid/index.html
https://exhibits.udayton.edu/s/rosebook/page/euclid
https://www.cuemath.com/data/deductive-reasoning/
https://exhibits.udayton.edu/s/rosebook/page/euclid
https://www.math.purdue.edu/~goldberg/Math460/Euclid-BKI.pdf
https://byjus.com/maths/transversal/
https://flexbooks.ck12.org/cbook/ck-12-basic-geometry-concepts/section/3.3/primary/lesson/corresponding-angles-bsc-geom/
https://www.mathopenref.com/degrees.html
https://www.merriam-webster.com/dictionary/supplementary%20angle
https://www.mathnasium.com/math-terms/transitive-property
https://tutoring.k12.com/articles/math/properties-of-equality-key-principles-in-algebra/
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/proof-vertical-angles-are-equal
https://www.geeksforgeeks.org/maths/geometric-proofs-for-polygons/
https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruence-theorems/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180
https://www.vcccd.edu/sites/default/files/departments/human-resources/sabbaticals/2017-2018/paulcurtis-sabbaticalfinalrpt-fall2017-proofsinlinearalgebra.pdf
https://web.williams.edu/Mathematics/sjmiller/public_html/341Fa16/handouts/ProbLifesaver_ProofTechniques.pdf
https://wildearthlab.com/2021/10/24/tree-height/
https://www.stemlytutoring.com/blog/connecting-math-world-impact-geometry-reality
https://medium.com/@jchjcck/the-geometry-of-the-heavens-dd5fc836f7c4
https://aaa.org/2023/07/01/calculating-the-distance-to-nearby-stars-the-stellar-parallax/
https://www.mathwords.com/n/n_dimensions.htm
https://in2infinity.com/theory/geo-quantum-mechanics/
https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/general_relativity_massive/index.html
https://www.astronomy.com/science/do-we-know-how-many-dimensions-there-are/
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