calculus - What is a French curve, as mentioned by Feynman ...
"The French curve is made so that at the lowest point on each curve, no matter how you turn it, the tangent is horizontal." All the guys in the class were holding their French curve up at different angles, holding their pencil up to it at the lowest point and laying it along, and discovering that, sure enough, the tangent is horizontal.
The right "weigh" to do integrals - Mathematics Stack Exchange
Back in the day, before approximation methods like splines became vogue in my line of work, one way of computing the area under an empirically drawn curve was to painstakingly sketch it on a piece of graphing paper (usually with the assistance of a French curve) along with the axes, painstakingly cut along the curve, weigh the cut pieces, cut ...
Is there a trick to drawing cubic equation graphs?
$\begingroup$ Yes, you can buy a french curve, they are good for making pretty curves of different curvature. But the aesthetics of your cubic curves are ultimately less important than having the shape approximately right. i.e. Identifying where is the curve upward sloping and where is it downward sloping. $\endgroup$ –
Flatness of a curve at a point - Mathematics Stack Exchange
2018年8月9日 · What is a French curve, as mentioned by Feynman? 1. Tanget to the curve, but point not on curve? 9.
How to find area under sines without calculus?
2016年9月18日 · When the French mathematician Gilles de Roberval first found the area under the sine and cosine curves in 1635, this was a very challenging problem that required a great deal of ingenuity. If we didn’t have the benefit of the Fundamental Theorem of Calculus, we would have to compute a difficult limit of sums using obscure trigonometric ...
What does the level curve xy = 3 to the graph xy = z look like?
2017年7月18日 · I got this example from MIT courseware class on multivariable calculus it was an example during the lecture. Just having difficulty with the visual. Looking for the level curve xy = 3 to the graph...
calculus - Curvature of a space curve: how do we get from the ...
2015年6月10日 · Consider a car driving along a curvy road. The tighter the curve, the more difficult the driving is. In math we have a number, the curvature, that describes this "tightness". If the curvature is zero then the curve looks like a line near this point. While if the curvature is a large number, then the curve has a sharp bend.
find the points on a curve where the tangent line is horizonta
The curve in question is the "folium of Descartes", so called as Descartes sent this curve to Fermat as a challenge to the latter's claim for a method of determining slopes of tangent lines. Fermat handled it successfully, something made a bit more impressive by the fact that he accomplished it in 1638, prior to the more formal development of ...
Fitting exponential curve to data - Mathematics Stack Exchange
2013年4月4日 · $\begingroup$ Jacquelin's paper here is very direct and clear (if you have at least a little bit of French); there are more general versions of the same approach in JSTOR (1970) and at DOI 10.1002/nme.1620080206 (1974), though you may have to pay for those if your institution doesn't have a subscription. $\endgroup$ –
Equation for nice curve - Mathematics Stack Exchange
2021年11月19日 · What is a French curve, as mentioned by Feynman? 4. Calculating values for cubic Bezier curve. 1.