Math problem (a computer won't help)

05302017, 12:25 PM
(This post was last modified: 05302017 12:27 PM by STxAxTIC.)
Post: #41
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RE: Math problem (a computer won't help)
Heya bplus,
I'm at work right now so we only get a stealthy and underthought version of my answer for now, but my first take on it is: Recall from the PDF two equations (6) and (7), namely: R = AD  BD R = AC  CD Adding these, I get: 2R = AD + AC  (BD + CD) 2R = AD + AC  BC ...which moreorless satisfies what we were looking for (correct me if you mean something different, I'm going fast at the moment). Since only two numbers are needed to uniquely identify the right triangle, we might say, in conclusion: 2R = AD + AC  (AD^2 + AC^2)^.5 ... where of course, R_(bigger circle) = .5 BC = .5 (AD^2 + AC^2)^.5 

05302017, 02:23 PM
(This post was last modified: 05302017 02:32 PM by bplus.)
Post: #42
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RE: Math problem (a computer won't help)
Hey STxAXTIC,
From a little searching on Internet I found this that might be interesting. It does not get ri, the radius of the inscribed circle down to terms of our 2 legs of right triangle but might provide interesting material to look over as it hints that the ratio might be fairly simple expression specially for Pythagorean triples. Code Snippet: [Select] ' ri over ro.bas SmallBASIC 0.12.9 (B+=MGA) 20170530 B += _ 

05302017, 08:31 PM
(This post was last modified: 05302017 08:35 PM by bplus.)
Post: #43
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RE: Math problem (a computer won't help)
OK now I have hacked ri and ro into old Pythagorean Triples builder code for further exploration of ri and ro in Pythagorean Triples.
Code Snippet: [Select] ' Pyth triples and ri over ro.bas SmallBASIC 0.12.9 (B+=MGA) 20170530 ri is acting very predictable an integerish with these triples! and of course ro is only half wrong as integer B += _ 

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