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The theory of heat radiation
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Nov 12 2020 grandeur adirnensionnée relative à la grandeur physique X ... des divers phénomènes optiques (absorption
Effets à long terme de la prématurité sur les habiletés perceptivo
Nov 15 2019 developmental index ou MDI et Psychomotor developmental index ou PDI) ... Developmental coordination disorder in "apparently.
The Translation Studies Reader.pdf
REFRACTION IN A THEORY OF LITERATURE. 19 William Frawley. 250. PROLEGOMENON TO A THEORY OF TRANSLATION. 20 Philip E.Lewis. 264. THE MEASURE OF TRANSLATION
OPTics
conditions more on evanescent waves
MATHEMATICS
"by any attempt to dissociate it from its history.". J. W. L. GLAISHMR gatfc. MACMILLAN AND CO.
time-and-free-will-bergson.pdf
of opinion is part of the whole evolution". philosophic la physique
CURSUSINGENIEURSUPELEC
Par ailleurs pour être en conformité avec l'exercice d'un emploi
book-ethics for the information age.pdf
the machine to help them compute the motion of Mars and the refraction of starlight. Difference engines were never widely used; the technology was eclipsed
MATHEMATICS
BYPLORIANCAJORI
OFLOUISIANA;NOWPROCESSORorPHYSICS
INCOLORADOCOLLEGE
GLAISHMR
gatfcMACMILLANANDCO.ANBLONDON
1894AllriffMsreserved
COPYRIGHT,189,1,
BYMAOM1LLANAND00,
ITortooobprt;
J.S,Gushing&Co,-Berwick&Smith,
Boston,Mass,,U.S.A.
PREFACE.
v viPKEFACE.FLORIANCAJOBL
COLORADOCOLLEGE,December,1893.
TABLEOFCONTENTS.
PAGEINTRODUCTION1
,ANTIQUITY5THEBABYLONIANS5
THEEGYPTIANS9
THEGREEKS16
GreekGeometry16
TheIonicSchool17
TheSchoolofPythagoras19
TheSophistSchool23
ThePlatonicSchool29
TheFirstAlexandrianSchool34
TheSecondAlexandrianSchool54
GreekArithmetic63
TUBROMANS77
^MIDDLEAGES84THEHINDOOS84
THEARABS100
EtJBOPEDURINGTHEMIDDLEAOES117
IntroductionofRomanMathematics117
TranslationofArabicManuscripts124
TheFirstAwakeninganditsSequel128
MODERNEUROPE138
THERENAISSANCE:....189
VIETATODJCSOARTES^
DBSGARTESTONEWTON183
NBWTGNTOEULBK199
viiViiiTABLEOFCONTENTS.
PAGEEULER,LAGRANGE,ANDLAPLACE246
TheOriginofModernGeometry285
KECENTTIMES291
SYNTHETICGEOMETRY293
ANALYTICGEOMETRY307
ALGEBRA315
ANALYSIS331
THEORYOPFUNCTIONS347
THEORYOFNUMBERS362
APPLIEDMATHEMATICS373
INDEX405
BOOKSOFREFEKENCE.
hasbeenmade. torischenJForschung.Erlangen,1876.Washington,1890.
Leipzig.BelI.,1880;Bd.II.,1892.
P.J.K.STUASSMAIER.Freiburg,1889.
des.Leipzig,1870. 1884.undMittelalter.Leipzig,1874. 1889.
ItomanBiographyandMythology.
zig,1807.KopQnlaagen,1886.
ixXBOOKSOFREFERENCE.
siques.TomeI.-XII.Paris,1883-1888.LESPIE.
tenJahrhunderten.Tubingen,1884.VoUcer.Halle,1863.
22.PEACOCK,GEORGE.Article
"Aritlimetic,1inTheEncyclopedia,of
PureMathematics.London,1847.
23.HERSCHEL,J.!F.W.Article
*Mathematics,"inEdinburghJfflncy- dopcedia.Zurich,1873-75.
Bruxelles,1866.
tinuedinthe8tlxeditionbySIKJOHNLESLIE. tothePresentTime. burgh,1834.JournalofMathematics,Vol.XL,1879.
EnglishbyW.A.,London,1744.
Mechanik.Leipzig,1887.
London,1888,2ndedition,189S,
PhilosophicalMagazine,November,1852.
BOOKSOFREFERENCE,xi
Stockholm.
Miinclien,1877.
niz.Halle,1848.40.GERIIARBT,K.I.
FeTbruar,1891.
cum,"intliePennyCyclopaedia,London,1865.
Cambridge,1886.
44.TOBHUNTKR,I.
BaHol,1884,
zig,1850.Leipzig,1885.
theN.Y.MathematicalSociety,I.3.51.AUAOO,1).F.J.
"EulogyonLaplace.7TranslatedbyB.POWELL,
SmitlisonianllPfiort,1874,
C.A.ALEXANDISR,SmithsonianIteport,1867.
1871.zig,1884. genvonFitmSOHUTTB.Leipzig,1888.
XllBOOKSOFREFERENCE.
1883.Association,1878.
58.GIBBS,J.WILLARD.
1890.Nordlingen,1878.
trischeForschungen.Erlangen,1872.Cambridge,1893.
Archiv,48:2,1868.
undPhysik,26:5,1881.66.BRONICE,AD.JuliusPlucker.Bonn,1871.
1882.zig,1873.
Krwnmungsmasses.Tubingen,1881.
NewYork,1890.
Werke.Leipzig,1878.
72.ZAHN,W.v.
MathematischeAnnalen,VII.4,1874.
1883.1889.
ment,1892.
BOOKSOFREFERENCE.xiii
1869.II.,Paris,1868.
Meihen.Gottingen,1879.
Heilien,MineJBntgegnung.Tubingen.
Poincare.Paris,1886.
actionscientifique.Paris,1885.Jacobi.1852.
schichte.Hallea/S.,1876. tonDarboux.Paris,1884.Berlin,1860.
90.GLAISUISH,J.W.L.
Geburtstag.Konigsherg,1884.
1890.ressofPhysics,"Nature,26:17,1882.
MatematicodiPalermo,V.,1891.
xivBOOKSO:FBEFBBBNCE,Dynamics.1857.
AHISTORYOFMATHEMATICS.
INTEODUCTION.
12AHISTORYOFMATHEMATICS.
<>INTBODUCTION.3
thefirmamentofheaven. the "Arabicnotation " ;theywillmarvelatthethousands him.Whenthevalueofmathematicaltrainingis iacademyofPlato,thephilosopher "Letnoonewhois4AHISTORYOFMATHEMATICS.
oneinwhichsteadyprogressismade.2ANTIQUITY,
THEBABYLONIANS,
theIcharacters"^and y>*.signified10and100respec theeaf56AHISTOKYOFMATHEMATICS.
itsleft.Thus,^^f >*"denoted,not20times100,but amillion.31.4=8s
,1.21=92 ,1.40=102 ,2.1=11*,etc.This"reinLfta makes1.4=60+4,1.21=60+21,2.1=2.60+1.Thei catestheacquaintanceoftheBabylonianswithTHEBABYLONIANS.7
hismind,tosupplytheword "sixtieths."TheGreekgeom8AHISTOKYOFMATHEMATICS.
Babylonians.
THEEGYPTIANS.9
Oppert:
"THEEGYPTIANS.
uncivilisedstateofsociety. "Menes,thefirstking,changes10AHISTOBYOFMATHEMATICS.
sciences.PlatoinPho&drussays "AttheEgyptiancity 15 writerstohaveoriginatedinEgypt.5InHerodotuswofind
this(II.c.109) arithmeticandgeometry.ItwaswrittenbyAtawTHEGREEKS.17
underthenameofEudemianSummary.TheIonicSchool
staffwas0(jualtoitsownlength.18AHISTORYOFMATHEMATICS.
angulartrianglestobeproportional.8TheEgyptiansmust
thouseestnotwhatisatthyfeet? "THEGREEKS.19
thesolutionofthefollowingproblems :Fromapointwithout, structions.TJieSchoolofPythagoras.
20AHISTORYOFMATHEMATICS.
tothegreatfounderofthesect. rasfledtoTarentumandthencetoMetapontum, murdered. icipal iencc.THEGrKEEKS.21
ofarithmeticalexpression. ficebythatofanoxmadeofflour " !Theproofofthelaw conjecture.AHISTORYOFMATHEMATICS.
divulged1Pythagoreans,andwascalledbythemHealth.
headofarithmetic. ~fdefectandexcess,asinEuclid,VI.28,29. t discoveredbythisschool,,THEGREEKS.23
wasadvancedthroughhim. andhadawarmfriendinArchytas.TheSophistSchool
24*AHISTORYOFMATHEMATICS. atAthens, famousproblems: (1)Totrisectanarcoranangle. (2)To isdoublethatofagivencube.
THEGREEKS.25
Onthisaccountitiscalledthequadratrix.
:2a,sincea?2=ayandy2=2axandce*=a2/,we
havea;4=2cfxanda?3=2a8 .Buthefailedtofindthetwo thisresulttothesquaringofthecircle. contributedmuchtothegeometryofthecircle.26AHISTORYOFMATHEMATICS.
" importantstep.THEGREEKS*27
AHISTOEYOFMATHEMATICS.
:d2=C:cisnottrue,supposethatD2 :$=:c.Ifd<c, nearertoitinareathandoesc f .IfPbethecorresponding polygoninC,thenP:p=D2 ;d2=G:c,andP:O=p:c. Since j>>c f ,wehaveP>C,whichisabsurd.Nextthey falsityofthesupposition,thatcf >c.SinceccanbeneitherTHEGREEKS.29*
andabilityoftheEgyptians.TJiePlatonicSchool.
"Hegeom-30AHISTOBYOFMATHEMATICS.
philosophy.1Platoobservedthatgeometrytrainedthemind
EudemianSummarysays,
"Hefilledhiswritingswithmathe7butthisisa
Platoobjectedtocallingapointa
"geometricalfiction."He ibleline,"andalineasquotesdbs_dbs47.pdfusesText_47[PDF] lexercices physique chimie 2
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