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loxodrome

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Loxodrome -- from Wolfram MathWorld
A path, also known as a rhumb line, which cuts a meridian on a given surface at any constant angle but a right angle . If the surface is a sphere, the loxodrome is a spherical spiral. The loxodrome is the path taken when a compass is kept pointing in a constant direction. mathworld.wolfram.com
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Rhumb line - Wikipedia
In navigation, a rhumb line (also rhumb (/rʌm/) or loxodrome) is an arc crossing all meridians of longitude at the same angle. It is a path of constant ... en.wikipedia.org
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Loxodromic navigation - Wikipedia
Loxodromic navigation (from Greek λοξóς, oblique, and δρóμος, path) is a method of navigation by following a rhumb line, a curve on the surface of the Earth ... en.wikipedia.org
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loxodrome
loxodrome (ˈlɒksədrəʊm) [f. Gr. λοξό-ς oblique + δρόµ-ος course.] = loxodromic line.1880 Libr. Univ. Knowl. (N.Y.) X. 436 The loxodrome, or loxodromic line. 1888 Greenhill Integral Calculus 31 A loxodrome on the sphere, cutting the meridians at a constant angle. Oxford English Dictionary
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LOXODROME Definition & Meaning - Merriam-Webster
The meaning of LOXODROME is rhumb line. www.merriam-webster.com
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[PDF] Loxodromes: A Rhumb Way to Go - CiteSeerX
A loxodrome intersects all the meridians at the same angle. A circle of constant latitude is a loxodrome (perpendicular to meridians). Any other loxodrome. citeseerx.ist.psu.edu
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Loxodromic
Loxodromic may refer to: a loxodrome, see rhumb line a loxodromic transform, see Möbius transformation#Loxodromic transforms Loxodromic navigation, wikipedia.org
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Loxodrome - Jason Davies
A loxodrome (or rhumb line) is a line crossing all meridians at a constant angle. This is best illustrated using the Mercator projection. www.jasondavies.com
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Loxodrome - Virtual Math Museum
A loxodrome is a path that lies on the unit sphere in R^3 and that makes a constant angle with the great circles of longitude. virtualmathmuseum.org
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loxodrome - Wiktionary, the free dictionary
(mathematics, nautical) A line on a surface (such as the Earth) that cuts all meridians at a constant angle (but not a right angle) – on Earth, the path ... en.wiktionary.org
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Rhumb line | Definition, Loxodrome, & Navigation | Britannica
A rhumb line, or loxodrome, is a curve cutting the meridians of a sphere at a constant non-right angle. It may be seen as the path of a ship sailing always ... www.britannica.com
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Loxodrome Problem - Differential Geometry by Pressley (problem 4.20 first edition) A **loxodrome** is a curve on the unit sphere that intersects the meridians at a fixed angle, say $\alpha$. Show that, in the Mercator...
I realized what my mistake was. In the Mercator projection, meridians correspond to the parameter curves $v=constant$. Therefore, in order to find the tangent vector for that curve we need $\pmb\sigma_u$, (since $\pmb\sigma_u$ assumes $v$ is a constant).
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Loximuthal projection
Let a loxodrome pass through the point whose longitude and latitude are both 0; call this the "central point". Using only the unique shortest loxodrome from the central point to each point p gives only one copy, occupying a sort of oval. wikipedia.org
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Prove that the loxodrome crosses all meridians at a constant angle How to prove that the loxodrome (the rhumb line) crosses all meridians at a **constant** angle? $$\tan\left(\frac{\pi}{4} + \frac{\psi}{2}\right) = e...
.$$ This shows that the stereographic image $\sigma(\ell)$ of your loxodrome is a logarithmic spiral $r=e^{k\phi}$ in the plane.
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Rhumb line
On a stereographic projection map, a loxodrome is an equiangular spiral whose center is the north or south pole. Mathworld Loxodrome. Cartography Spirals Spherical curves Navigation Geodesy wikipedia.org
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