Search results
Results From The WOW.Com Content Network
On Sizes and Distances (of the Sun and Moon) (Greek: Περὶ μεγεθῶν καὶ ἀποστημάτων [ἡλίου καὶ σελήνης], romanized: Peri megethon kai apostematon) is a text by the ancient Greek astronomer Hipparchus (c. 190 – c. 120 BC) in which approximations are made for the radii of the Sun and the Moon as well as their distances from the Earth.
Hipparchus (/ h ɪ ˈ p ɑːr k ə s /; Greek: Ἵππαρχος, Hípparkhos; c. 190 – c. 120 BC) was a Greek astronomer, geographer, and mathematician.He is considered the founder of trigonometry, [1] but is most famous for his incidental discovery of the precession of the equinoxes. [2]
Hipparchus is purported to have written a twelve-volume work on chords, all now lost, so presumably, a great deal was known about them. In the table below (where c is the chord length, and D the diameter of the circle) the chord function can be shown to satisfy many identities analogous to well-known modern ones:
Mihalis Dafermos (born 1976) - Professor of Mathematics at Princeton University and Lowndean Chair of Astronomy and Geometry at the University of Cambridge [17] Apostolos Doxiadis (born 1953) - Australian born Mathematician. [18] Athanassios S. Fokas (born 1952) - Contributor in the field of integrable nonlinear partial differential equations. [19]
Book II of Sphaerica applies spherical geometry to astronomy. And Book III contains the "theorem of Menelaus". [15] He further gave his famous "rule of six quantities". [19] Later, Claudius Ptolemy (c. 90 – c. 168 AD) expanded upon Hipparchus' Chords in a Circle in his Almagest, or the Mathematical Syntaxis. The Almagest is primarily a work ...
In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle ABC, and a transversal line that crosses BC, AC, AB at points D, E, F respectively, with D, E, F distinct from A, B, C. A weak version of the theorem states that
Greek mathematics [a] reached its acme during the Hellenistic and early Roman periods, and much of the work represented by authors such as Euclid (fl. 300 BC), Archimedes (c. 287–212 BC), Apollonius (c. 240–190 BC), Hipparchus (c. 190–120 BC), and Ptolemy (c. 100–170 AD) was of a very advanced level and rarely mastered outside a small ...
On Sizes and Distances, by Hipparchus (c. 190 – c. 120 BC Topics referred to by the same term This disambiguation page lists articles associated with the title On Sizes and Distances .