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Earth geometry is a special case of spherical geometry. When we measure distances that a boat or aircraft travels between any 2 places on the Earth, we do not use straight line distances, since we need to go around the curve of the Earth from one place to another.
Free lesson on Distance between two places on Earth, taken from the Earth Geometry topic of our QLD Senior Secondary (2020 Edition) Year 12 textbook. Learn with worked examples, get interactive applets, and watch instructional videos.
16 mar 2021 · Distances on Earth 1: The Cosine Formula – The Math Doctors. March 16, 2021 / Trigonometry / Formulas, Real life / By Dave Peterson. Many students study trigonometry, but few get to spherical trigonometry, the study of angles and distances on a sphere.
The curvature of the Earth and refraction and scattering in air limit direct measurement of distance on the Earth’s surface to a maximum of some 30 to 50 km. Microwave radio and laser systems are used for this range of distances.
Geodesy is the science of measuring and representing the geometry, gravity, and spatial orientation of the Earth in temporally varying 3D. It is called planetary geodesy when studying other astronomical bodies , such as planets or circumplanetary systems .
Euclidean distance geometry studies properties of Euclidean distance such as Ptolemy's inequality, and their application in testing whether given sets of distances come from points in a Euclidean space.
In geometry, a geodesic ( / ˌdʒiː.əˈdɛsɪk, - oʊ -, - ˈdiːsɪk, - zɪk /) [1] [2] is a curve representing in some sense the shortest [a] path ( arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection.
