Your English writing platform
Discover LudwigSimilar(60)
He simplified ancient methods of spherical trigonometry and proved the law of sines for general spherical triangles.
As was described for a plane triangle, the known values involving a spherical triangle are substituted in the analogous spherical trigonometry formulas, such as the laws of sines and cosines, and the resulting equations are then solved for the unknown quantities.
Using the law of sines from spherical trigonometry, the lengths of all sides thus can be computed starting from a known baseline.
His later publications include Stereometrie (Stereometry) (1833), Plan- og sfærisk Trigonometrie (Plan and Spherical Trigonometry) (1834), and Lærebog i den høiere Mathematik (Textbook of Advanced Mathematics) (1849).
Trihedral angles for derivation of the laws of (left) sines and (right) cosines for spherical trigonometry.
Geosphere: Spherical Trigonometry v. 1.5-7 (2017).
Hijmans, R. J. Geosphere: Spherical Trigonometry (2016).
Hijmans, R. J. geosphere: Spherical Trigonometry.
Furthermore, most formulas from plane trigonometry have an analogous representation in spherical trigonometry.
Book III, the last, concentrates on spherical trigonometry and introduces Menelaus's theorem.
The availability of logarithms greatly influenced the form of plane and spherical trigonometry.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com