Re: Re: A New Scientist article verified with Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg107280] Re: [mg107271] Re: A New Scientist article verified with Mathematica
- From: DrMajorBob <btreat1 at austin.rr.com>
- Date: Mon, 8 Feb 2010 03:33:08 -0500 (EST)
- References: <hkj907$dt7$1@smc.vnet.net> <201002071114.GAA25389@smc.vnet.net>
- Reply-to: drmajorbob at yahoo.com
Highlight what you want to copy, click on the Edit menu, and (usually)
click on Copy as Plain Text. (Sometimes another choice might work better.)
Then Paste into e-mail.
Bobby
On Sun, 07 Feb 2010 05:14:31 -0600, sigismond kmiecik
<sigismond.kmiecik at wanadoo.fr> wrote:
> sigismond kmiecik a =E9crit :
>> Hello to everybody
>>
>> In the last Xmas issue of the New Scientist magazine there is on page
>> 40 a small article about the continuity principle applied to
>> intersecting circles.
>> I used Mathematica to confirm its conclusions but some questions remain
>> to be answered.
>>
>> These circles are represented by
>>
>> Show[{Graphics[{Red, Circle[{0, 0}, 2]}], Graphics[Circle[{2, 0}, 2]],
>> Graphics[{Red, Dashed, Circle[{5, 0}, 2]}]}, AxesOrigin -> {0, 0},
>> PlotRange -> {{-3, 8}, {-3, 3}}, Axes -> True ]
>>
>> The intersection coordinates of the red (non-dashed) and black circle is
>> found by:
>>
>> Solve [{ x^2 + y^2 - 4 == 0, (x - 2)^2 + y^2 - 4 == 0 }, {x, y}
> > ]
>>
>> And there is indeed an imaginary intersection of the red and red-dashed
>> circle even if they are not touching - as found by:
>>
>> Solve [{ x^2 + y^2 - 4 == 0, (x - 5)^2 + y^2 - 4 == 0 }, {x, y}
>> ]
>>
>> My questions are:
>> - Is there a way to draw with Mathematica these three circles using
>> their cartesian equations and not the Circle graphics primitive
> 92 ?
>> - How can I transform the list of rules solutions to the last equation
>> above in order to represent them on the complex plane (I thought about
>> a ListPlot [{Re[],Im[]}=85 but I know not enough of Mathematica to
>> obtain that)
>> - And last is there a Mathematica notebook on the web dealing with the
>> intersection of planes with cones?
>>
>> Thanks
>>
>> Sigismond Kmiecik
>>
> Hi
> THe two Solve expressions that I copied/pasted from a Mathematica
> notebook to Thunderbird
> became corrupted after being added to the forum. What precautions must
> I take in order to
> avoid that ?
> Thanks
> Sigismond Kmiecik
>
--
DrMajorBob at yahoo.com
- References:
- Re: A New Scientist article verified with Mathematica
- From: sigismond kmiecik <sigismond.kmiecik@wanadoo.fr>
- Re: A New Scientist article verified with Mathematica