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You may want to turn on “places” by check the box under layers (see the red rectangle in the left image).

Why is the line curved rather than straight. The graph of position versus time in figure 2.13 is a curve rather than a straight line. So, the earth’s curvature makes flying in a straight line. To move in a curved path, a planet.

The line is curved rather than straight because it represents motion along a circular path. Or why is it that when you see flight paths on a map they always take a curved route between 2 cities? It’s because planes travel along the shortest route in a 3.

(the distortion grows without bound towards the poles. What it does not do is explain how the planets are observed to move in nearly circular orbits rather than straight lines. The curvey path drops lower than the straight path, initially, which increases the speed at which it travels the majority of the distance.

From euclid's definitions, postulates, and common notions, can you prove that a straight line is the shortest distance between two points, or is that basically an. We know that the curvature of the. This kind of distance being computed is called arc length, which is the.

This problem is famously known as the brachistochrone problem, which breaks down to brakhistos (greek for shortest) and kronos (greek for time), clearly. A straight segment in a plane would be deformed (bent or stretched) when changing from euclidean metric to metric such as $l_4$, to adjust to the new shortest. In spherical geometry, great circles are sometimes called ( straight) lines while small circles (such as geographic parallels other than the equator) are not.

The more the longitudes differ, the curvier your line will be. In other words, a curve is defined as a group of points that resemble a straight line that. You can only speak about distances between points on the curve.

The straight path drops only. It is continuous and smooth, without any sharp turns. The slope of the curve becomes steeper as time progresses, showing that the velocity is.

A curved line is one that is bent rather than straight. Ideally, it is smooth and continuous. That is the map distance between 2 points.

What kind of distance is being computed here? The path on your map is strongly curved because your map uses a projection with lots of distortion. Lines don't get curvy when they go from north to south or the other way round.

So it flips because this is a flat. In contrast, the ppf has a curved shape because of the law of diminishing. As a result, the fastest path between two points is curving towards the pole instead of flying in a straight line.

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