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MEDIEVAL AND
RENAISSANCEMATHEMATICSPREPARED BY:
MARICEL P. ABLAZA
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MEDIEVAL MATHEMATICS
From the 4th to the 15th centuries
the ear! Mi""e A#es or Dar$ A#es%&rom 4''AD to 14''AD(
)erio" o& sta#nation
the ate Mi""e A#es %*ust +e&ore the
Renaissance( ,ra"e &rom the East
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MEDIEVAL MATHEMATICIANS
Robert of Chester -transate" A/h0arimi2s +oo$ into Latin
Adelard of Bath, Herman ofCarinthia, Gerard of Cermona
transate" Euci"2s 3Eements
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!oman tea"hin# #eometr$
,he &rontis)iece o& anA"ear" o& Bath Latintransation o&
Euci"s Elements, theo"est sur7i7in# Latintransation o& theElements is a 18th
centur! transation +!A"ear" &rom anAra+ic 7ersion.
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Euro)e2s 9rst #reatme"ie7a mathematician
in"uAra+ic numeras!stem %Liber Abaci, 1202
AD(
horionta +ar notation &or&ractions
9rst recursi7e num+erse;uence %Fi+onacci
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MEDIEVAL MATHEMATICIANS
Ni"ole %resme
use" a s!stem o& rectan#uarcoor"inates
9rst to use" &ractiona e=)onent
harmonica series is a "i7er#entin9nite series
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>ichoas o& Cusa
Contri+ute" on the stu"! o& in9nit!
"istinct! nonstan"ar" intuiti7e i"easa+out the uni7erse an" the Earths)osition in it? an" a+out the ei)ticaor+its o& the )anets an" reati7e
motion
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RENAISSANCE MATHEMATICS
+e#an in Ita!
From 14th to 1@th centur!
ne0 0a! o& thin$in# A+acist - ne0 cass o& mathematicians
conce)t o& ero2
man! a"7ancements in a#e+ra
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RENAISSANCE MATHEMATICIANS
Leonardo da Vin"i
e=)oration o& the 0or"o& )ro)ortionait! an"
s)atia mechanics )re&erre" "ra0in# as his
)rimar! too to e=ecutehis stu"ies
e#: rhom+icu+octahe"ron? Leonar"os itru7ian
mans )er&ectmathematica )ro)ortions
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RENAISSANCE MATHEMATICIANS
Alber"ht D&rer
' su)erma#ic s;uare in his en#ra7in#Meencoia I.
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0rote Tripart en la science desnombres %144(? a 0or$ on a#e+ra an"arithmetic in three )arts
Tripart - !art " e uses the in"uAra+ic )ace7aue
s!stem
Tripart - !art "" uses the &raction rue to e=tract s;uare roots
Tripart - !art """
intro"uces e=)onentia notation
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ate 15th an" ear! 1@th centuries In 15' he )u+ishe" a Latin transation o&
Euci"s Eements ? the 9rst )rinte" e"ition
#umma de Arit$metica, %eometria,!roportioni
!ropotiionalita , 14&4' ( a +oo$ o&arithmetic? #eometr! an" +oo$$ee)in#
s!m+os &or )us an" minus
- stan"ar" notation
T$e Di)ine !roportion
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Aso $no0n as ,arta#ia &ormua &or so7in# cu+ic e;uations?
com)e= num+ers
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-*rote 1+1 boos-Ars agna,1545
Li+er "e u"o aeae %Boo$ on ames
o& Chance( 9rst s!stematic treatmento& )ro+a+iit!
- De )ita propria liber in 15G5
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;ua"ratic e;uations
In 154'? he 0as a))ointe" +! Ferranteona#a? the #o7ernor or Mian? )u+ic
ecturer in mathematics in Mian
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- L’Algebra,15.2 (ima#inar! num+ers
0as the 9rst )erson to 0rite "o0n therues &or a""ition an" muti)ication o&
com)e= num+ers
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