аЯрЁБс>ўџ ')ўџџџ&џџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџьЅСc П[jbjb№S№S š1š1[ џџџџџџ]žžžžžžžііііі  ін*šœœœœœœ,єћКШžШžžžžšВ"д"žžžžš€šžžš MЯsЗііšSlope is derived from the Latin root slupan for slip. The relation seems to be to the level or ground slipping away as you go forward. The root is also the progenitor of sleeve (the arm slips into it) and, by dropping the s in front we get lubricate and lubricious (a word describing a person who is "slick", or even "slimy"). Many variations of where the idea of M for slope originated seem to be mostly myth. One of the most common is that the letter was used by Descarte because it was the first letter of some French word or another that related. In a recent post to the AP Stats discussion list, Hector Hirigoyen shared the following story: I was told by Mary Dolciani herself, that the SMSG group "decided "to use y=mx+b because of the French (Descartes, I presume)-"montant"; I found it strange because the "logical word" would be "pente"(which is slope (and the standard term in Spanish is pendiente, which matches this). However, several years ago, while visiting a French high school, I noticed the teacher used y=sx+b. I inquired, and she said because of the "American" word "slope." I believe they are using ax+b for the most part these days. . Here are several other clips from postings about the topic on a discussion group about math history. In his "Earliest Uses of Symbols from Geometry" web page, ... Jeff Miller gathered the following information: Slope. The earliest known use of m for slope is an 1844 British text by Matthew O'Brien entitled _A Treatise on Plane Co-Ordinate Geometry_ [V. Frederick Rickey]. George Salmon (1819-1904), an Irish mathematician, used y = mx + b in his _A Treatise on Conic Sections_, which was published in several editions beginning in 1848. Salmon referred in several places to O'Brien's Conic Sections and it may be that he adopted O'Brien's notation. According to Erland Gadde, in Swedish textbooks the equation is usually written as y = kx + m. He writes that the technical Swedish word for "slope" is "riktningskoefficient", which literally means "direction coefficient," and he supposes k comes from "koefficient." According to Dick Klingens, in the Netherlands the equation is usually written as y = ax + b or px + q or mx + n. He writes that the Dutch word for "slope" is "richtingscoefficient", which also means "direction coefficient." In Austria k is used for the slope, and d for the y-intercept. In Uruguay the equation is usually written as y = ax + b or y = mx + n, and the "slope" is called "pendiente", coeficiente angular", or "parametro de direccion". It is not known why the letter m was chosen for slope; the choice may have been arbitrary. John Conway has suggested m could stand for "modulus of slope." One high school algebra textbook says the reason for m is unknown, but remarks that it is interesting that the French word for "to climb" is monter. However, there is no evidence to make any such connection. Descartes, who was French, did not use m. In _Mathematical Circles Revisited_ (1971) mathematics historian Howard W. Eves suggests "it just happened." http://www.geocities.com/Paris/Rue/1861/arithme3.html#slope http://www.geocities.com/Paris/Rue/1861/etyindex.html %+ш[іюфю6B*CJ$OJQJB*CJ$OJQJ5B*CJ$OJQJHˆ‰†юя у ф х ш$%[§§§§§§§§§§§§§§=ш$%[ўАа/ Ар=!А"А# $ %А [0@ёџ0NormalCJOJQJmH <A@ђџЁ<Default Paragraph Font[ џџџџ џџ џџ џџ1T[ U[ [ [ џџ Tom Marker1users:Slope Group:Slope is derived from the Latinџ@€ЙЙ<™ ЂЂЙЙI }–[ @@GTimes New Roman5€Symbol3 Arial? Courier New3Times"1ˆаhЗcW†УcW†Йв !ЅРДД€0d Fџџ4Slope is derived from the Latin root slupan for slip Tom Marker Tom Markerўџ р…ŸђљOhЋ‘+'Гй0Œˆам№ќ  , H T `lt|„'5Slope is derived from the Latin root slupan for slipn lop Tom Markerrom Normalk Tom Markerr2m Microsoft Word 8.0o@Œ†G@RўK С@‚j СЙв ўџ еЭеœ.“—+,љЎDеЭеœ.“—+,љЎ` hp|„Œ” œЄЌД М §'ENC : 5Slope is derived from the Latin root slupan for slip Title˜ 6> _PID_GUID'AN{F6525480-76D5-11D5-B0D5-003065AE34EE} ўџџџўџџџўџџџ !"#$%ўџџџ§џџџ(ўџџџўџџџўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџRoot Entry 8<8Ё@8С\He:у~р5@‚Јaі8Ё\€јџџџџџџџџ РF8~€сј€,Гпу С*€KџћY1Tableі8~€сј88П9\Kџѕ-8~88П8С98с8H­џџџџџџџџ(A‚(Јaі8Ё\€ј8сž8Р2Hе:уˆ8WordDocument2Hб:у~р5@‚ˆ9(A‚LЈa 8Мџџџџџџџџ~р5@‚№Јa Kџ8Э€AЈažKџ8С€A8HSummaryInformation8П8с 8Р!H9:у~р5(џџџџ8лHi:у~р5@‚dЈa Kџ8A€AЈaœ8DocumentSummaryInformationKџљ8`8џџџџџџџџџџџџKџ7й€AЈaž,A‚ Kџ7Х€AЈaœ,€ACompObjјH •€AW@?A‚8|Kџm€A8w€и8!а|Іџџџџџџџџџџџџ“Сџј“Ёџє“џ№”!џ X8Ё8ObjectPoolО8a8€СhTЅИ“СJT„К~TоК~ГсNх"˜R“hџџџџџџџџџџџџЙ@С€С тЙ@С€С т|ёж|(QA‚ 8ЄH|Ѕѓ–€xT€џA‚T„К~8ФHT†К~|†ѓ–|ёж|0QA‚ 8ФHџџџџџџџџџџџџ8џџ|˜€ш8!р|ІƒсџќƒСџјƒЁџєƒџ№N€ |Іўџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџџўџџџџџ РFMicrosoft Word DocumentўџџџNB6WWord.Document.8