Viewing from another orbiting body, following its own trace and orbit, creates shifts in three dimensions in the spherical trigonometry used to calculate relative positions.
42.
Most of Nunes'achievements were possible because of his profound understanding of spherical trigonometry and his ability to transpose Ptolemy's adaptations of Euclidean geometry to it.
43.
As the historians L . Gauchet and Joseph Needham state, Guo Shoujing used spherical trigonometry in his calculations to improve the calendar system and Chinese astronomy.
44.
A rigorous treatment requires spherical trigonometry, thus those who remain certain that Hipparchus lacked it must speculate that he may have made do with planar approximations.
45.
Pages 77 & ndash; 81 cover the essentials of spherical trigonometry, a topic of considerable interest at the time because of its use in celestial navigation.
46.
To do a mathematical calculation on the length of twilight requires a knowledge of spherical trigonometry . talk ) 13 : 26, 12 February 2008 ( UTC)
47.
He also used mathematical functions in his work relating to spherical trigonometry, building upon the knowledge of Shen Kuo's ( 1031 1095 ) earlier work in trigonometry.
48.
He made important innovations in spherical trigonometry, and his work on arithmetics for businessmen contains the first instance of using negative numbers in a medieval Islamic text.
49.
There was also some awareness that much of plane and spherical trigonometry could be attributed to Islamic authors " . were translated into Latin during the 12th century.
50.
He was a professor of analytic geometry and spherical trigonometry at Iai University from 1871 to 1909, served as dean of the sciences faculty from 1880 to 1901,
