tag:blogger.com,1999:blog-12546956.post2609014548294689186..comments2017-05-12T11:12:52.880-04:00Comments on The Language Lover's Blog: The Parabolic JesusLanguage Loverhttp://www.blogger.com/profile/17095286029520305813noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-12546956.post-13833863000758192352011-08-12T01:08:54.005-04:002011-08-12T01:08:54.005-04:00Apparently both words have the same root, the Gree...Apparently both words have the same root, the Greek PARABOLE which refers to throwing besides or something thrown besides (PARA + BALLEIN = BESIDE + THROW). So in the context of language, a parable involves a comparison -- in the math context, I'm not so sure. (Could it have something to do with the shape of projectile motion? But I suppose the word is older than that.) Very interesting!<br /><br />Also I find this description -- "the locus of points equidistant from a point and a line" -- a bit unclear. What is a locus of points? Is the point they are equidistant from on the line? Is that the line that goes through the "center" of the parabola?<br /><br />Also, what do you mean "a parabolic mirror reflects parallel waves from infinity into a single focal point"? I suppose one would need a picture. But I imagine two sine curves in the same phase occupying different parts of a plane as parallel waves. But what does it mean to reflect a sine curve to a point? Would there be any symmetry in the reflection? (If you reflect a rectangle across a line, you get another rectangle on the other side -- but what could it mean to reflect a rectangle into a point?)<br /><br />Alexfirezdoghttp://www.blogger.com/profile/11473050286104950159noreply@blogger.com