geodesic line
geodesic

He discovered a surface of the fourth order of which all the geodesic lines are algebraic.

He jaunted up the geodesic lines of space-time to an Elsewhere and an Elsewhen.

A simple definition is as follows: pick three points and draw geodesic lines between them to make a geodesic triangle.

Liberman, J. Geodesic lines on convex surfaces.

Then the unique great circle perpendicular to the line passing through the pair of points 'P3' is geodesic line 'L3' in 'S1'.

Every now and then he'd display graphics: knotted gray-white tubes, with green-gridded surfaces and bright red geodesic lines snaking across them.

A luminous grid of geodesic lines glowed faintly, marking the inverse line of sea and sky like electric fishnet ?

The geodesic lines of space-time rolled him back to Now under Old St. Pat's, where less than two seconds had elapsed since he first began his frenzied struggle.

This was apt to be a long chase, but he'd get that bozo if he had to chase him on a geodesic line along the hyper-dimensional curvature of space clear back to Tellus where he started from!

Thus, the geodesic lines are the projections of integral curves of the geodesic flow onto the manifold M. This is a Hamiltonian flow, and that the Hamiltonian is constant along the geodesics:

It must be noted that in the "unit sphere modulo antipodes", one "geodesic line", 'i.e.' great circle, must be chosen to be the line at infinity if the surface is to be mapped to an extended affine plane.

The treaty lists 127 points (latitude and longitude) from the Davis Strait to the end of the Robeson Channel, where the Nares Strait runs into the Lincoln Sea, to draw geodesic lines between, to form the border.

The dome was thick, and strong, and transparent, with no ugly geodesic lines to mar the view, having been formed from a large number of hexagonal components bonded together in a process that was discussed endlessly in the ensuing weeks, and which I don't understand at all.

Between 1849 and 1861 he contributed valuable papers to the Cambridge and Dublin Mathematical Journal, to the 'Proceedings of the Irish Academy,' and to the Quarterly Journal of Mathematics, chiefly on the subject of geodesic lines and on curves.

He could drive himself up, up, up the geodesic lines into the past or future, but inevitably he must fall back into his own Now, like a thrown ball hurled up the sloping walls of an infinite pit, to land, hang poised for a moment, and then roll back into the depths.

The three dimensional lens space L(p,q) is often defined to be a solid ball with the following identification: first mark p equidistant points on the equator of the solid ball, denote them a to a, then on the boundary of the ball, draw geodesic lines connecting the points to the north and south pole.