For more fun and challenging 3D geometry problems head to:
brilliant.org/...
-----------------------------------------------------------------------------------------------------------
Please consider supporting Think Twice on:
► Patreon: / think_twice
► Twitter: / thinktwice2580 (@thinktwice2580)
► Instagram: / thinktwice_ltu
(@thinktwice_ltu)
-----------------------------------------------------------------------------------------------------------
Summary:
► A spherical triangle is a surface area of a sphere bounded by 3 arcs of great circles.
► Any spherical triangle has it's antipodal duplicate
► Each of these spherical triangles are intersections of 3 different spherical lunes.
► Adding up the area of all 6 lunes results in the surface area of a sphere with 4 additional spherical triangles.
►Girard's Theorem: the area (T) of a spherical triangle, with interior angles a,b and c, is given by T = r^2 (a + b + c - pi). The
-----------------------------------------------------------------------------------------------------------
Contact me:
► thinktwiceask@gmail.com
-----------------------------------------------------------------------------------------------------------
🎵 Music:
chill. by sakura Hz / sakurahertz
Creative Commons - Attribution 3.0 Unported - CC BY 3.0
Free Download / Stream: bit.ly/chill-sa...
Music promoted by Audio Library • Chill - sakura Hz (No ...
Негізгі бет Spherical Geometry: Deriving The Formula For The Area Of A Spherical Triangle
Пікірлер: 288