I can easily imagine a line pointing dead vertically or horizontally on a sphere. Say I want to draw a line which is always pointing to some degree (eg 45°) from an origin. What is this line like? In a more realistic way to put it, I want to constantly head in a direction such as NE. How to plot it on a map? Any formula for that? What kind of mathematical field is it?
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Angle relative to what? – nasu Jan 07 '23 at 18:34
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Also what do you mean on a sphere? On it's surface like latitude and longitude (horizontal and vertical)? Or from the center of the sphere to the surface? – Triatticus Jan 07 '23 at 18:43
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Would [math.se] be a better home for this question? – Qmechanic Jan 07 '23 at 19:30
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1Rhumb line – Farcher Jan 07 '23 at 23:17
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Use a sphere to plot it and than project it on a plain. It depends what Projection or mapping you use what you get as a curve. On the sphere it ist called a loxodrome. If you use Mercator projection it is a straight line. (It belongs to differential geometry)
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