Plot 2D graph improved

The “Graph in 2D” feature introduced in May 2017 is being improved gradually, and is now able to do much more than its simple name implies : let’s have a look at this amazing feature for student !

[instead of illustrating this blog post with simplistic curves (linear curves, parabolas and hyperbolas…), I choose emblematic curves, and mentioned the name of the mathematicians having discovered or studied them : enjoy this journey into the world of Mathematics !]

Simple curves

Obviously, you can plot the curve of an equation with unknowns x and y, in a Cartesian coordinate system.

And not only equation written such as y = f ( x ) :

animation avec une courbe simple, insérée dans la note
Equilateral clover (also called “trisectrice de Longchamps”, studied by G. de Longchamps in 1884)

You may even insert the graph on your note after resizing the plot area if necessary. The pasted graph is not interactive.

 

Curve with parameters

More useful, you can add parameters to your equation, in order to change the proportions of the curve :

Equation avec trois paramètres
Bernoulli lemniscate (studied by Jacques Bernoulli in1694 and Fagnano in 1750).

Multiples curves

You may also plot several curves on the same graph, providing you group them with a bracket.
(This feature may be the one announced in May 2018, but I found its description “Graph of multiple functions” and accompanying illustration a bit confusing…)

Well, better have a look at my own illustration in the tweet below :

Please note that :
– the legend may be exhibited moving the cursor over the “i” symbol,
– the color of the curves in the graph do not match those of the inked equation.

LIRE AUSSI  Plot a 2D Graph

Also, I tried to plot both equations above (clover and lemniscate) but it didn’t worked : OneNote didn’t offer any option, except ink to math…

Inequalities

Agnesi’s Cubic (curve studied by Pierre de Fermat in 1630, Guido Grandi in 1703 and then by Maria Gaetana Agnesi in 1748), also called versiera (= devil in Italian) or Cauchy bell.

Nevertheless, you can’t combine both features above (multiple curves and inequalities), as illustrated in this tweet :

 

Fonctions

The announcement earlier in May stating that OneNote may support functions, puzzled me…

Announcement in May 2018 : what’s new in OneNote for Windows 10

In fact, it seems that Microsoft was simply announcing support for multiple equations plotted in the same graph, as illustrated in the previous section.

And I am not merely quibbling about wording (function or equation ?) : as a matter of fact, experimenting with the same equation written in similar ways (equation & function), I noticed that OneNote makes a confusion with the f in f ( x ) , believing it’s a parameter…

Indeed, writing fx instead of f ( x ), you’ll get the same result.

So, what’s the purpose of the new command “Graph both sides in 2D” ?

 

Intercepts

The only usage I can think of, is to show the intercept of two equations (one on each side of the equal sign) :

Moving the mouse over one curve or the other, the coordinates are shown, but there’s no anchor (or magnet) to reach easily the intercept.

 

Key features

Finally, OneNote may sometimes mention the key features of your equation such as minima, maxima, intercepts, asymptotes, inflexion points, range, domain… and show them on the graph.

 

Shortcomings

Sometimes though, OneNote is not able to plot an equation :

Quadruple tore algebrique représenté dans Geogebra
Quadruple algebraic torus in Geogebra & OneNote

 

Now it’s your turn to share your nicest curves !

 

Reference : All curves illustrating my blog post were found on Mathcurve.

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