@Crank, ...
It's always easy to laugh ab things you/we don't quite know especially if it's about field of unknown and undiscovered yet...
Have you wandered what would one of choosen (by God) scientists say if he/she was asked to explain to person not really very thoughtful and pretty familiar with things connected to relligy and humanity, how should he/she act if things are crucial for choosing between knowing and beeing too much capable of understanding that discovery may benefit to bad outcome, or saying that explanation is not really needful and that he/she don't deserve too much attention to be in situation to speak with him/her in order to keep things more decent and secret?
Well, first of all... We are all choosen (at least those capeable to read and understand) to explain and to influence to situations that are serving to some kind of understanding... Weather things are bad or good, no one can really hestimate for sure... Knowing too much things may for sure gain powers that can produce/not produce desired harmonious reality in the world we now see and feel... For sure, someone born with gift certainly is not always gift of everyones eyes and thoughts... Anyway, morality can be and explained and expressed only if supposed to give correct jurisdiction to better suiting to universal integrity and compactivity in terms of existence and personal/plural wealth...
Is there just single atom/body/beeing/planet/star/galaxy/clouds/universum, probably we can feel it as single and to our understandings mutal... You/we see that I deliberately wrote cloud and added that (s) at the and and opposite universum without that (s) at the end... Shell we say it as one or more, for sure I can tell that we can be heared if we wrote, read and say loudly... Can someone from higher order do such things simple as hearing, or listening, or watching, or ... we can always say that as simple - trivial, or even more unthoughtful, unpleasantly rudely foolish and stupid... So, IMHO, that keeping in mind, politeness and respect given as a moral characteristic to all beeings of course is act of intelligence and higher order behaviness... Can somone throw a ball with super hit, or score in NBA with basket from planet ZOO right to the net of foolishness in order to gain more popularity and glory in act of heroism based on powers of God given opportuinities causing destructivity to other harmonious universums for sure IMO don't deserve any comment or expression neither through spirit nor fisical prospectivity or any kind of response from me as beeing willing to explain that acts have causal effect that are not thoughtfull and resposible... I, or no one, should do any kind of hierachical personal structuralism to say that he/she is more or less worthy person than any other... I was able to gain some material wealth through my carrer and everyone live is... That feeling that someone may die, or live in every millisecond not knowing that as a beeing haven't tried to produce goodness to some kind of universal knowledge for the time given no matter where and when he/she focused on recognition of kindness for sure can't upperlift any beeing too much to the sky or as always fortold the story of kingdom/queendom of heavan or harmony...
Now to the science :
Hint : look for 2 connections (diameter of arc / sagitta of arc) vs. (chord of arc / sagitta of arc)...
Can you throw out my scientific statement expressed through LISP and tell that I was wrong by trying to enlighten what was supposed to be very truelly implementation of centroid as point of gravity of dimensional positional reflectivity of matterry in system called origin composed coordinate system?
Can you tell that science don't serve to open eyes and make passing through hurdles of life easier and happier if some (so called "crazy" scientist) said that the story of life should be no pain on the neck and at least associate to some wealth...
(here I am not citating anyone especially "Doc Emmet Brown", or for ex. "Jor El" father of "Kal El" from planet as we all know K/Cripton... But of course that I'd predominantly wrote it as Kripton rather than American Cripton... I am from Serbia, you know...)
Correction :
...
(setq dx (+ (* (distance mp mpp) (abs (cos (angle mp mpp)))) (* (distance (car pair) (car nextpair)) (abs (cos (+ (angle mp mpp) (/ pi 2)))))))
(setq dy (+ (* (distance mp mpp) (abs (sin (angle mp mpp)))) (* (distance (car pair) (car nextpair)) (abs (sin (+ (angle mp mpp) (/ pi 2)))))))
...