Yes, that's what Wikipedia (my preferred dictionary for technical terms) gave me. My own translation "quadratic supplement" is not really optimal for "quadratische Ergänzung", which could also be translated by "quadratic completion" which is pretty close. I found the English name a bit funny, as square has multiple meanings in English (geometric figure, "don't be square", Times or Trafalgar square), whereas quadratic has not.In the US (and possibly UK?), we call this technique "completing the square."
I spoke about translations. Wikipedia allows to switch from my native language directly to the corresponding English term, WolframAlpha does not, neither do ordinary dictionaries. It has also the advantage, that those pages do not correspond one on one, so you can sometimes find better descriptions, sources, formulas or graphics on other language sites. And for all who are really interested in accurate definitions and links, I strongly recommend nLab rather than WolframAlpha.Yes it is "completing the square" in the UK. I have always assumed that the term comes from the geometric construction shown in the animation on the Wikipedia page: solving the problem involves finding the "missing piece" that literally completes the construction of a square. I don't normally use Wikipedia for mathematical terms, preferring Mathworld.
I don't believe so. I hadn't heard this term before, but ad quadratum seems to be related to architectural design or generating Platonic solids (see http://www.gatewaycoalition.org/files/millennium_sphere/products/AdQuadratum.pdf).I would love to know , as I have asked before, why the "missing piece" in #14 cannot be given a name. adquadratus ?
I think you would be alone in the world to call it that. The "ad" in ad quadratum doesn't mean "to add" -- the Latin preposition means "toward" or "to".Janosh89 said:For odd integers ,e.g. 223, -
##1112 +223 =1122##
would it then be alright to say 223 is the adquadratus ??
Janosh89 said:also in #13 don't forget the square meal ! [ from the wooden square plates on RN vessels of old , kept in a slotted rack so they they did not roll out in heaving sea states]
Ha! IMHO, one of the signs of a mathematician is the reliance on quick derivations rather than memorization (although, I understand that Gauss had a photographic memory -- just another thing that made him the ultimate genius.)Fun??? That's often the only way for me to check if I remembered the signs correctly.
This would explain why my library is far better than my memory <sigh>.Ha! IMHO, one of the signs of a mathematician is the reliance on quick derivations rather than memorization (although, I understand that Gauss had a photographic memory -- just another way that he was the ultimate genius.)