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:By the way, assuming an etymology of ''sinus'' for sine because of the "curvaceous shape" of the sine (from the other meaning of ''sinus'' for "curve," in particular the curved shape of a draped toga or garment) is probably an anachronism. Plots of the sine function ala analytic geometry didn't come until centuries after Chester. On the other hand, Chester may have mistakenly thought that "bay" alluded to the subtended arc; I'm just speculating, though. [[User:Stevenj|Steven G. Johnson]] 22:18, 25 Mar 2004 (UTC)
:A little note in arabic. the letter representing V in arabic is very rarely used. The reason for this is i think its not actually ORIGINALLY recognized. Not even in the alphabetic of the language. I think it was the simplest thing to translate the letter "V" into a "B". further more jiba is hard to pronounce in a sentince describing an angle, and therefor might have led the arabs changing the order to better siute their pronounciation. Also the creation of new vocabulary of the word "bay". Also taking into account all of the other trigmetical words are synchronized in a way. Its all speculation but the following example in pronounciation should clerify things:
short forms used when talking math, like tan : tangent
sin : jaib : ja
cos : jata : jata
(recently the extra arabic letters have been un-officialy imported into english letters. using this i can represent the three variations of the english letter T into T , 6 , '6(the "'" representing 6 but with a dot) as arabicly pronounced letters) based on this
tan : '6il : '6a
cot : '6ata : '6ata
I hope the resemblense can be noticed. this is also implemented in the last 2 of the original 6 common trignometical functions. Another example of missing arabic letters other than "V" is the letter "P". Which you can sence in 80% of the english speaking arabs, when talking to them you can hear words like "broblem" and so forth.
:Note that the "versed sine" is 1–cos(&theta) = distance from the center of the chord to the center of the arc. I'm guessing that ''rectus'' and ''versus'' here refer to what we would now call the ''y'' and ''x'' coordinates, assuming that they originally drew a circle and measured the angle from the horizontal...Boyer doesn't say, however. Further evidence for this is the fact, according to the OED, that "sagitta", originally a synonym for the versed sine, is also an obsolete synonym for [[abscissa]]. ''sagitta'' is Latin for "arrow", and according to the OED's citations this is a visual metaphor for the versed sine (if you see the arc as the bow, the chord as the string, and the versed sine as the arrow shaft). Note that Wikipedia could use a short entry on [[versed sine]]. [[User:Stevenj|Steven G. Johnson]] 21:55, 25 Mar 2004 (UTC)
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