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1Relating to or denoting the shortest possible line between two points on a sphere or other curved surface.
‘A geodesic sun-tracking model was developed to determine sun position in the sky.’
‘He solved a problem posed by Beltrami of representing one surface on a second surface in such a way that geodesic lines in the first correspond to geodesic lines in the second.’
‘He introduced the geodesic curvature although he did not use the term which was due to Bonnet who discovered it independently in 1848.’
‘A formula for the line integral of the geodesic curvature along a closed curve is known as the Gauss Bonnet theorem.’
‘By 1738 the geodesic measurements carried out to measure the length of a meridian degree had produced very strong evidence for the flattening at the poles.’
‘We take as given that the desired curve C is the unique Euclidean circle that is orthogonal to every geodesic through A.’
‘Second, geodesics are circular arcs orthogonal to the unit circle.’
‘Since no strong theoretical reason exists to confine the analysis to geodesics, Stephenson and Zelen's measure might be preferable.’
‘The theory of the geodesics in the large on such surfaces was developed later in the famous memoirs by P Koebe.’
‘It possesses shortest lines, now called geodesics, which resemble ordinary straight lines.’
‘Klingenberg worked during his years at Bonn on closed geodesics.’
‘Fuller's ideas about creating more flexible, sustainable structures by combining technology with models of good design found in nature, like geodesics, were a gestalt to his inquisitive mind.’
‘Using this approximation in Maxwell's equations we see that light travels along null geodesics.’
‘Foster called him a ‘lone voice,’ whose work with geodesics demonstrated how building form could be both economical and ecological.’
‘In this latter topic he had to solve various problems of differential geometry and geodesics.’
‘He showed how strong triangle-based designs are with his geodesics.’
‘The photons that reached its senses followed paths that varied slightly from the straight-line geodesics of flat spacetime.’
‘This reminded me of an interesting property of geodesics in general relativity.’
‘His work in studying the trajectories of point masses on a surface led to certain non-linear differential equations whose solution also gave properties of geodesics.’
‘Returning to the University of Breslau he submitted a dissertation on geodesics of spheroids in 1862.’
‘He then considered the problem of when the geodesics on a surface could be represented as straight lines on the plane.’
‘When this happens, the necessary conditions for the existence and uniqueness of these geodesics are violated.’
‘Those distortions guide the moving masses along straight-line geodesics, which look like the curved trajectories that physicists call orbits.’
‘So many blobs are simply the result of stacked geodesics, like Grimshaw's Eden project, a series of bubble-forms that remind me of what geologists call globular clusters.’