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Question : what is the maximum angle of curvature that you can still have attached flow on a roofline ?
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Grinds my gears. Twists my knickers.
en.wikipedia.org/wiki/Degree_of_curvature
An angle requires an arc length to define a curve.
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As an example, a curve with an arc length of 600 units that has an overall sweep of 6 degrees is a 1-degree curve: For every 100 feet of arc, the bearing changes by 1 degree. The radius of such a curve is 5729.57795. If the chord definition is used, each 100-unit chord length will sweep 1 degree with a radius of 5729.651 units, and the chord of the whole curve will be slightly shorter than 600 units.
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Your looking for the sweep, not the angle.
A progressive curve can be defined by two points with contol handles. -- Bexier curve.
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https://en.wikipedia.org › wiki › Bézier_curve
Bézier curve - Wikipedia
A Bézier curve is a parametric curve used in computer graphics and related fields. A set of discrete "control points" defines a smooth, continuous curve by means of a formula. Usually the curve is intended to approximate a real-world shape that otherwise has no mathematical representation or whose representation is unknown or too complicated. Bézier curve is named after French engineer Pierre Bézier, who used it in the 1960s for designing curves for the bodywork of Renault cars.
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Defined in 1960. Who knew?