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A87936123 - Maria Gaetana Agnesi - Mathematician

Post 1

SashaQ - happysad

Entry: Maria Gaetana Agnesi - Mathematician - A87936123
Author: SashaQ - happysad - U9936370

This Entry is dedicated to Elektra, who gave me the first link in a chain that led me to learning about this notable female mathematician.


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 2

Dmitri Gheorgheni - Not Banned in China

Ms Agnesi sounds like a very lovely person. smiley - smiley

Here's what I mean by insider knowledge being off-putting, though. You wrote:

'The book includes mention of a curve that now bears her name. The Agnesi Curve is described by the equation y = c3/(x2 + c2), where x is a variable and c is a constant. Its shape is reminiscent of a rope being used to hoist a sail, called la versiera in Italian.' Now, I'm the dummy who gets the pun, but is flummoxed by the mathematics.

What you wrote is really clear to someone with mathematical knowledge. They understand how a 'curve is described by the equation.' Could you imagine not knowing that? Then you'd be faced, as I was until I dredged my memory of algebra-induced migraines, with trying to figure out how a string of letters and numbers describes a curve.

This is why people make up thrillers about spies running around with 'the secret formula'. If you don't know how these things work, you're stuck with accepting that it's magic. smiley - winkeye Readers are okay with that, most of the time. They just need somewhere to put the information.

That's easy to fix: just put a small illustration in there. Comme ca:

http://commons.wikimedia.org/wiki/File:Witch_of_Agnesi,_a_1,_2,_4,_8.svg

We dummies still won't have a clue how Maria found that curve, or why it exists, or what it's good for, but we'll feel clever because we can see it looks just like a sail going up! smiley - smiley And not a witch at all.


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 3

Elektragheorgheni -Please read 'The Post'

Wow, she was amazing ----a polyglot and a head for higher maths! And at the end of her life dedicating herself to help people. She really was unique. Thanks for letting us know about her.


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 4

SashaQ - happysad

Thanks Elektra smiley - biggrin

Thanks DG smiley - biggrin

And this is why I love Peer Review - I could see the equation, but not the sail! I see it now, and another diagram link has been added smiley - ok I moved the equation into a footnote, too, so it doesn't disrupt the narrative as much smiley - ok


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 5

Dmitri Gheorgheni - Not Banned in China

smiley - ok


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 6

Gnomon - time to move on

Hi Sasha.

A good entry as always.

18th Century Italy --> 18th-Century Italy

Propositions philosophicae --> Propositiones philosophicae
(an 'e' before the final 's')

Your link on "Instituzioni" - I think it would be better on the whole of the book title.

Is it normal practice to refer to people by their first name? I thought we normally used their surnames in entries.

The rest of the entry is good, but I think Dmitri may have a point. The connection between something you are studying, a mathematical formula describing it and a curve in a coordinate geometry plane is not immediately obvious to the average reader. You might need to put an entire paragraph to explain that. I'll think about and may make more suggestions later.



A87936123 - Maria Gaetana Agnesi - Mathematician

Post 7

SashaQ - happysad

Thanks Gnomon - I made those tweaks smiley - ok

I shall ponder the name situation - I don't like to use just surnames in this series, because of the risk of 'masculine by default' assumptions when it comes to surnames on their own, but Maria is not her first name, because her sister was also Maria...

I've made a tweak to the footnote, but I will also think about it some more.

smiley - ok


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 8

SashaQ - happysad

More changes have been made smiley - ok


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 9

Gnomon - time to move on

I think it might be worth putting the equation of the curve in the footnote. It won't interrupt the flow of the entry, and people who don't understand it can just skip the footnote.


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 10

Dmitri Gheorgheni - Not Banned in China

I thought it was worth one more stab to make it comprehensible. If this doesn't work, or if you can't fix it to your standards of precision, just say so and I'll go away. smiley - smiley

Suggestion:

The book includes mention of a curve that now bears her name. The Agnesi Curve is a way of deriving the function of a circle called an arctangent. As the numerical values in the equation change, the curve described by the equation [place equation here] changes when plotted on a graph:

[Place image here, or .gif, or Youtube.]

The process reminded the mathematician of a rope being used to hoist a sail. The rope is called la versiera in Italian.

[Continue as normal.]

[At end of paragraph, add:] Mathematicians, physicists and statisticians still use this equation as a modelling tool today.


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 11

Bluebottle

"Pietro, with three wives" – not at the same time I take it? Was Anna Wife 1 or Wife 2? Was Maria the oldest surviving child?

I was left unsure whether Maria's achievement in her book 'Instituzioni' was that it combined the works of Newton, Leibniz and Leonhard Euler in a handy, user-friendly guide with room for annotations and diagrams, or whether it included her own, unique work too? It 'mention of a curve that now bears her name' but says it had been already studied by Pierre de Fermat. Why is it named after her, then? Was she the first person to derive an equation for this curve?

To avoid confusion you may wish to rephrase 'the Habsburg Empire' as it implies that there was only one Habsburg Empire (a different branch of the Habsburgs had ruled Spain and Spanish possessions including the Low Countries, Portugal, parts of the Americas, bits of Africa, various islands etc for almost two centuries until shortly before her birth).

When was she offered the various posts at Bologna? Just trying to work it out into the stage of her life if she published Volume I in 1748, Volume II: Return of the Revenge of Instituzioni analitiche ad uso della gioventù italiana in 1749 and her father snuffed it in 1752 – but Maria was (still) looking after 20+ siblings of various ages and states of life and/or death at the time? No wonder she longed to live the life of a nun! Peace and quiet enough at last to enjoy concentrating on corresponding with mathematical monks.

<BB<


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 12

Dmitri Gheorgheni - Not Banned in China

Bluebottle, I think you've just stumbled across the main reason convents were invented. smiley - rofl


A87936123 - Maria Gaetana Agnesi - Mathematician

Post 13

SashaQ - happysad

Thanks for reading everyone smiley - biggrin

I took the equation out, because Instituzioni derived an equation that looks quite different, and as Dmitri found, there are special cases of the equation that are also of interest... (I see the *derivative* of the arctangent is an equation which has the shape of the Agnesi Curve when plotted on a graph smiley - ok). I'll try to avoid confusion here, but have included links to more detail smiley - ok

Thanks <BB< - excellent points. I have made tweaks that hopefully clarify, and I appreciate your expertise in relation to history/geography.

"Peace and quiet enough at last to enjoy concentrating on corresponding with mathematical monks."

It seems it was peace and quiet to enjoy *not* having to correspond with mathematical monks...


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