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Sistema acrofonico (Atene, V – I sec. a.C.)
M IHX Δ ППΔПHПXПM
Nella Grecia antica si trovano vari sistemi
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PER SCRIVERE UNO
USIAMO IL SEGNO
I
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LO RIPETIAMO TANTE VOLTE
PER CONTARE ...
III
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ANCHE I ROMANI FANNO COSI'
IIIIII
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ABBIAMO ALTRI SIMBOLI
M HX IΔ
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unodiecicentomillediecimila
QUESTI I LORO VALORI
M HX IΔ
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unodiecicentomillediecimila
CONOSCETE I NUMERI ROMANI?
M HX IΔ
CM IX
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IN GRECO CORRISPONDONO ALLE INIZIALI ...
unodiecicentomillediecimila
DECAHEKATONCHILIOIMYRIOI
decametro
chilometro
miriagrammomiriade
ecatombe
ettogrammo
M HX Δ I
![Page 10: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/10.jpg)
PER FORMARE I DIVERSI VALORI,
RIPETIAMO I SIMBOLI
IIIIIIΔΔΔΔII
M HX Δ I
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PER FORMARE I DIVERSI VALORI,
RIPETIAMO I SIMBOLI
significa 1
2
3
20
22
IIIIIIΔΔ
M HX Δ I
ΔΔII
![Page 12: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/12.jpg)
SAI RICONOSCERE QUESTI NUMERI?
IIII
ΔII
ΔΔΔ
HH
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ECCO
4
12
30
200
IIII
ΔII
ΔΔΔ
HH
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IN NUMERI ROMANI...
4
12
30
200
IIII
ΔII
ΔΔΔ
HH
IIII
XII
XXX
CC
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Si utilizzava anche l'abaco
UNA TAVOLA CON DELLE RIGHE SU CUI
POSIZIONARE DEI GETTONI
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Si utilizzava anche l'abaco
QUESTA E' LA TAVOLA DI SALAMINA(VIV sec. a.C.)
![Page 17: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/17.jpg)
Si utilizzava anche l'abaco
ANCHE I ROMANI USAVANO L'ABACO
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Si utilizzava anche l'abaco
QUESTA LA PARTE CHE CI INTERESSA
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
M HX Δ I
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
I
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
Δ I
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
H ΔI
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
HX ΔI
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
M HX ΔI
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OGNI COLONNA CORRISPONDE A UN
SIMBOLO
M HX ΔI
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PER RAPPRESENTARE UN NUMERO SI POSIZIONANO I
GETTONI NEGLI SPAZI CORRISPONDENTI
III
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I
AD ESEMPIO ...
III
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I
AD ESEMPIO ...
III
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PROVIAMO CON QUESTO
HΔII
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PROVIAMO CON QUESTO
HΔII
H ΔI
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H ΔI
METTO I GETTONI
HΔII
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HΔII
ECCO
![Page 33: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/33.jpg)
HHΔIIII
PROVIAMO...
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H ΔI
ECCO
HHΔIIII
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HHΔIIII 2 1 4
CONTATE I GETTONI IN OGNI COLONNA
ED ECCO COME SCRIVETE VOI
![Page 36: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/36.jpg)
HHHΔΔΔI
PROVIAMO...
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H ΔI
HHHΔΔΔI
ECCO
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HHHΔΔΔI
ECCO
3 3 1
![Page 39: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/39.jpg)
MXXΔIII
PROVIAMO...
H ΔIMX
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H ΔIMX
ECCO
MXXΔIII
![Page 41: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/41.jpg)
ECCO
MXXΔIII 1 2 0 1 3
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ORA PROVIAMO A SCRIVERE...133
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PROVIAMO...POSSIAMO
AIUTARCI CON L'ABACO
1 3 3
![Page 44: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/44.jpg)
METTIAMO I GETTONI...
1 3 3
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H ΔIMX
METTIAMO I GETTONI...
1 3 3
![Page 46: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/46.jpg)
H ΔIMX
1 3 3
… SCRIVIAMO IN SIMBOLI ...
HΔΔΔ
III
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H ΔIMX
ECCO DUNQUE...
HΔΔΔIII1 3 3
![Page 48: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/48.jpg)
ECCO DUNQUE...HΔΔΔIII 133
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ORA PROVIAMO A SCRIVERE...12211
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PROVIAMO...
1 2 2 1 1
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H ΔIMX
PROVIAMO...
1 2 2 1 1
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H ΔMX
PROVIAMO...
MXXHHΔI
1 2 2 1 1
I
![Page 53: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/53.jpg)
ECCO DUNQUE ...
MXXHHΔI12211
![Page 54: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/54.jpg)
E SE AVESSI ...?
9879
![Page 55: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/55.jpg)
UN PO' LUNGO, NO?
9879
9 8 7 9
XXXXXXXXXHHHHHHHHΔΔΔΔΔΔΔIIIIIIIII
![Page 56: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/56.jpg)
CI SONO ANCHE ALTRI SIMBOLI, PER VALORI INTERMEDI.
IL PRIMO È ... ПPENTA
cinque
M HX Δ П I
![Page 57: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/57.jpg)
SAI RICONOSCERE QUESTI NUMERI?
П
ΔП
I
![Page 58: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/58.jpg)
ECCO
6
15
П
ΔП
I
![Page 59: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/59.jpg)
PER CINQUE DECINE
ABBIAMO ....
ПП
Δ
Δ
M HX Δ ППΔ I
![Page 60: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/60.jpg)
M IHX Δ ППΔПHПXПM
E COSI' POSSIAMO
COMPORRE GLI ALTRI
![Page 61: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/61.jpg)
FORSE VI RICORDA IL
SISTEMA ROMANO
M D C L X V IM IHX Δ ППΔПHПXПM
![Page 62: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/62.jpg)
PER CINQUE DECINE
ABBIAMO .... ПП
Δ
Δ
M HX Δ ППΔ I
![Page 63: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/63.jpg)
PER CINQUE CENTINAIA
ABBIAMO .... ПП
H
H
M IHX Δ ППΔПH
![Page 64: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/64.jpg)
PER CINQUE MIGLIAIA ....
ПП
X
X
M IHX Δ ППΔПHПX
![Page 65: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/65.jpg)
E PER CINQUE MIRIADI,
CIOÈ CINQUANTAMILA ..
. ПП
M
M
M IHX Δ ППΔПHПXПM
![Page 66: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/66.jpg)
ECCO TUTTI I SIMBOLI
M IHX Δ ППΔПHПXПM
![Page 67: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/67.jpg)
FORSE VI RICORDA IL
SISTEMA ROMANO
M D C L X V IM IHX Δ ППΔПHПXПM
![Page 68: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/68.jpg)
LI TROVATE?
M IHX Δ ППΔПHПXПM
![Page 69: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/69.jpg)
![Page 70: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/70.jpg)
SAI RICONOSCERE QUESTI NUMERI?
ΔПΔ
ΔΔIIПH
П
![Page 71: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/71.jpg)
SAI RICONOSCERE QUESTI NUMERI?
65
522
ΔПΔ
ΔΔIIПH
П
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M IHX ППΔПHПXПM Δ
LA SCHEDA
![Page 73: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/73.jpg)
M IHX ППΔПHПXПM Δ
LA SCHEDA
6
15
65
522
![Page 74: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/74.jpg)
M IHX ППΔПHПXПM Δ
6
15
65
522
ΔПΔ П
ΔΔIIПH
П
Δ П
I
![Page 75: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/75.jpg)
CONL'ABACO!
![Page 76: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/76.jpg)
NELLA PARTE SUPERIORE
SI SEGNANO I VALORI INTERMEDI
(cinque, cinquanta, ...)
ПΔПHПXПM П
![Page 77: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/77.jpg)
CINQUE
П
![Page 78: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/78.jpg)
CINQUE
П
![Page 79: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/79.jpg)
CINQUANTA
ППΔ
![Page 80: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/80.jpg)
CINQUECENTO
ППΔПH
![Page 81: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/81.jpg)
CINQUEMILA
ППΔПHПX
![Page 82: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/82.jpg)
CINQUANTAMILA
ППΔПHПXПM
![Page 83: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/83.jpg)
PROVIAMO A RAPPRESENTARE QUESTO NUMERO
П II ПΔПHПXПM П
![Page 84: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/84.jpg)
PROVIAMO A RAPPRESENTARE QUESTO NUMERO
П II ПΔПHПXПM П
I
![Page 85: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/85.jpg)
PROVIAMO A RAPPRESENTARE QUESTO NUMERO
П II ПΔПHПXПM П
I
![Page 86: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/86.jpg)
POSIZIONIAMO I TRE GETTONI
ПΔПHПXПM П
I
П II
![Page 87: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/87.jpg)
POSIZIONIAMO I TRE GETTONI
ПΔПHПXПM ПП II
![Page 88: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/88.jpg)
ECCO
ПΔПHПXПM ПП II
![Page 89: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/89.jpg)
IIПΔ П
PROVIAMO CON QUESTO NUMERO?
ПΔПHПXПM П
I
![Page 90: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/90.jpg)
ECCO
ПΔПHПXПM П
I
IIПΔ П
![Page 91: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/91.jpg)
ПΔПHПXПM П
SAI SCRIVERE QUESTO NUMERO?
ПΔ ПΔ II
IHX ΔM
![Page 92: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/92.jpg)
ПΔПHПXПM П
ECCO.SAI LEGGERLO?
ПΔ ПΔ II
IHX ΔM
![Page 93: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/93.jpg)
ПΔПHПX
IHX ΔM
ПM П
CINQUANTA PIU' DIECI PIU' CINQUE PIU' DUE …
SESSANTASETTE
ПΔ ПΔ II
![Page 94: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/94.jpg)
ПΔПHПXПM П
SAI RICONOSCERE QUESTO NUMERO?
![Page 95: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/95.jpg)
ПΔПHПXПM П
IN GRECO …CIOE'....
ПΔПX П I
![Page 96: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/96.jpg)
ПΔПHПXПM П
CINQUEMILACINQUANTASEI
ПΔПX П I
![Page 97: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/97.jpg)
ПΔПHПXПM П
E ORA PROVIAMO A METTERE SULLA TAVOLA
E A SCRIVERE...
12680
![Page 98: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/98.jpg)
ПΔПHПXПM П
SULLA TAVOLA...
12680
![Page 99: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/99.jpg)
П ПΔПHПXПM П
IN SIMBOLI
12680ПΔHMXX H ΔΔΔ
IHX ΔM
![Page 100: Sistema acrofonico (Atene, V – I sec. a.C.)php.math.unifi.it/archimede/archimede/laboratori/laboratorio_numeri... · Sistema acrofonico (Atene, V – I sec. a.C.) ПM M ПX X ПH](https://reader034.vdocuments.pub/reader034/viewer/2022042812/5fb1be1c8fd66d56451d9922/html5/thumbnails/100.jpg)
FINEAcrofonico e abaco