Jim, try this:

https://en.wikipedia.org/w/api.php?action=query&prop=coordinates|extracts&format=json&colimit=10&exchars=300&exlimit=10&exintro=&generator=geosearch&ggscoord=51.507222%7C-0.1275&ggsradius=1000&ggslimit=10

The documentation for extracts is here:
https://www.mediawiki.org/wiki/Extension:TextExtracts#API . It is less
resource-intensive to only fetch extracts from the introductory
section so the limits for queries that use the exintro parameter have
higher limits than queries that require the whole page to be parsed.

-Frances

On Mon, Sep 15, 2014 at 12:37 PM, jim andrews <[email protected]> wrote:
> Thanks, Max. I read the URL you cited and visited the API sandbox, but I 
> don’t understand how to get an article summary. Could you please give me an 
> example URL?
>
> Thanks,
> Jim Andrews
> http://vispo.com
>
> On Sep 15, 2014, at 12:14 PM, Max Semenik <[email protected]> wrote:
>
>> Jim, you already can do it using geosearch as a generator[1], e.g. [2]
>>
>>
>> ---
>> [1] https://www.mediawiki.org/wiki/API:Query#Generators
>> [2] http://tr.im/29XHc
>>
>> On Mon, Sep 15, 2014 at 12:05 PM, jim andrews <[email protected]> wrote:
>> Do you know if there are any plans to include an article summary in the 
>> list=geosearch results? That would be terrific. I’ve been using the 
>> geonames.org  API for retrieving Wikipedia articles, and it returns a brief 
>> (350-400 character?) article summary which seems to be the first 350-400 
>> characters (or so) of the Wikipedia articles. This is very useful in search 
>> results, of course. The user can use that information to decide which of the 
>> several links to click. The title alone is often rather mysterious. It often 
>> does not provide enough info for the user to make a decision as to which 
>> link to click, if any.
>>
>> Currently, the info I get back from your service ( 
>> https://www.mediawiki.org/wiki/Extension:GeoData#API ) has these fields:
>> <gs pageid="167267" ns="0" title="City Lights Bookstore" lat="37.7976" 
>> lon="-122.407" dist="1331" primary="" />
>>
>> I’m suggesting it also include a ‘summary’ field consisting of the first 
>> 350-400 characters of the article.
>>
>> Is that feasible?
>>
>> What I currently do is use geonames as first choice and if that fails, I use 
>> your service. It would be nice to be able to use your service as first 
>> choice.
>>
>> Thanks,
>> Jim Andrews
>> _______________________________________________
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>> [email protected]
>> https://lists.wikimedia.org/mailman/listinfo/mediawiki-api
>>
>>
>>
>> --
>> Best regards,
>> Max Semenik ([[User:MaxSem]])
>> _______________________________________________
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>> https://lists.wikimedia.org/mailman/listinfo/mediawiki-api
>
>
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