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I'd like to cut down the two clicks to one, since eventually I'd like to have students choose among several dozens of demonstrations to run.
You can't because of a silly thing named 'Security'.
Download and execution on client side are client decision.
My browser is set so that it always ask me what to do with a download, execute or store and where to store, no matter the certificate you are using.
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Is there in fact a way to have the browser download and automatically launch the code
Think about it, it is a dream for any malware maker.