Chapter 6

Abbo of Fleury,122‛Abdallāh ibn al-Ḥasan,92‛Abdallatīf ibn Yūsuf,93‛Abdalqādir ibn ‛Alī al-Sakhāwī,6Abenragel,34Abraham ibn Meïr ibn Ezra,seeRabbi ben EzraAbū ‛Alī al-Ḥosein ibn Sīnā,74Abū 'l-Ḥasan,93,100Abū 'l-Qāsim,92Abū 'l-Ṭeiyib,97Abū Naṣr,92Abū Roshd,113Abu Sahl Dunash ibn Tamim,65,67Adelhard of Bath,5,55,97,119,123,126Adhemar of Chabanois,111Aḥmed al-Nasawī,98Aḥmed ibn ‛Abdallāh,9,92Aḥmed ibn Moḥammed,94Aḥmed ibn ‛Omar,93Akṣaras,32Alanus ab Insulis,124Al-Baġdādī,93Al-Battānī,54Albelda (Albaida) MS.,116Albert, J.,62Albert of York,103Al-Bīrūnī,6,41,49,65,92,93Alcuin,103Alexander the Great,76Alexander de Villa Dei,11,133Alexandria,64,82Al-Fazārī,92Alfred,103Algebra, etymology,5Algerian numerals,68Algorism,97Algorismus,124,126,135Algorismus cifra,120Al-Ḥaṣṣār,65‛Alī ibn Abī Bekr,6‛Alī ibn Aḥmed,93,98Al-Karābīsī,93Al-Khowārazmī,4,9,10,92,97,98,125,126Al-Kindī,10,92Almagest,54Al-Maġrebī,93Al-Maḥallī,6Al-Māmūn,10,97Al-Manṣūr,96,97Al-Mas‛ūdī,7,92Al-Nadīm,9Al-Nasawī,93,98Alphabetic numerals,39,40,43Al-Qāsim,92Al-Qass,94Al-Sakhāwī,6Al-Ṣardafī,93Al-Sijzī,94Al-Sūfī,10,92Ambrosoli,118Aṅkapalli,43Apices,87,117,118Arabs,91-98Arbuthnot,141Archimedes,15,16Arcus Pictagore,122Arjuna,15Arnold, E.,15,102Ars memorandi,141Āryabhaṭa,39,43,44Aryan numerals,19Aschbach,134Ashmole,134Aśoka,19,20,22,81Aṣ-ṣifr,57,58Astrological numerals,150Atharva-Veda,48,49,55Augustus,80Averroës,113Avicenna,58,74,113Babylonian numerals,28Babylonian zero,51Bacon, R.,131Bactrian numerals,19,30Bæda,2,72Bagdad,4,96Bakhṣālīmanuscript,43,49,52,53Ball, C. J.,35Ball, W. W. R.,36,131Bāṇa,44Barth, A.,39Bayang inscriptions,39Bayer,33Bayley, E. C.,19,23,30,32,52,89Beazley,75Bede,seeBædaBeldomandi,137Beloch, J.,77Bendall,25,52Benfey, T.,26Bernelinus,88,112,117,121Besagne,128Besant, W.,109Bettino,36Bhandarkar,18,47,49Bhāskara,53,55Biernatzki,32Biot,32Björnbo, A. A.,125,126Blassière,119Bloomfield,48Blume,85Boeckh,62Boehmer,143Boeschenstein,119Boethius,63,70-73,83-90Boissière,63Bombelli,81Bonaini,128Boncompagni,5,6,10,48,49,123,125Borghi,59Borgo,119Bougie,130Bowring, J.,56Brahmagupta,52Brāhmaṇas,12,13Brāhmī,19,20,31,83Brandis, J.,54Bṛhat-Saṃhita,39,44,78Brockhaus,43Bubnov,65,84,110,116Buddha, education of,15,16Büdinger,110Bugia,130Bühler, G.,15,19,22,31,44,49Burgess,25Bürk,13Burmese numerals,36Burnell, A. C.,18,40Buteo,61Calandri,59,81Caldwell, R.,19Calendars,133Calmet,34Cantor, M.,5,13,30,43,84Capella,86Cappelli,143Caracteres,87,113,117,119Cardan,119Carmen de Algorismo,11,134Casagrandi,132Casiri,8,10Cassiodorus,72Cataldi,62Cataneo,3Caxton,143,146Ceretti,32Ceylon numerals,36Chalfont, F. H.,28Champenois,60Characters,seeCaracteresCharlemagne,103Chasles,54,60,85,116,122,135Chassant, L. A.,142Chaucer,121Chiarini,145,146Chiffre,58Chinese numerals,28,56Chinese zero,56Cifra,120,124Cipher,58Circulus,58,60Clichtoveus,61,119,145Codex Vigilanus,138Codrington, O.,139Coins dated,141Colebrooke,8,26,46,53Constantine,104,105Cosmas,82Cossali,5Counters,117Courteille,8Coxe,59Crafte of Nombrynge,11,87,149Crusades,109Cunningham, A.,30,75Curtze,55,59,126,134Cyfra,55Dagomari,146D'Alviella,15Dante,72Dasypodius,33,67,63Daunou,135Delambre,54Devanāgarī,7Devoulx, A.,68Dhruva,49Dicæarchus of Messana,77Digits,119Diodorus Siculus,76Du Cange,62Dumesnil,36Dutt, R. C.,12,15,18,75Dvivedī,44East and West, relations,73-81,100-109Egyptian numerals,27Eisenlohr,28Elia Misrachi,57Enchiridion Algorismi,58Eneström,5,48,59,97,125,128Europe, numerals in,63,99,128,136Eusebius Caesariensis,142Euting,21Ewald, P.,116Fazzari,53,54Fibonacci,seeLeonardo of PisaFigura nihili,58Figures,119.Seenumerals.Fihrist,67,68,93Finaeus,57Firdusī,81Fitz Stephen, W.,109Fleet, J. C.,19,20,49Florus,80Flügel, G.,68Francisco de Retza,142François,58Friedlein, G.,84,113,116,122Froude, J. A.,129Gandhāra,19Garbe,48Gasbarri,58Gautier de Coincy,120,124Gemma Frisius,2,3,119Gerber,113Gerbert,108,110-120,122Gerhardt, C. I.,43,56,93,118Gerland,88,123Gherard of Cremona,125Gibbon,72Giles, H. A.,79Ginanni,81Giovanni di Danti,58Glareanus,4,119Gnecchi,71,117Ġobār numerals,65,100,112,124,138Gow, J.,81Grammateus,61Greek origin,33Green, J. R.,109Greenwood, I.,62,119Guglielmini,128Gulistān,102Günther, S.,131Guyard, S.,82

Abbo of Fleury,122‛Abdallāh ibn al-Ḥasan,92‛Abdallatīf ibn Yūsuf,93‛Abdalqādir ibn ‛Alī al-Sakhāwī,6Abenragel,34Abraham ibn Meïr ibn Ezra,seeRabbi ben EzraAbū ‛Alī al-Ḥosein ibn Sīnā,74Abū 'l-Ḥasan,93,100Abū 'l-Qāsim,92Abū 'l-Ṭeiyib,97Abū Naṣr,92Abū Roshd,113Abu Sahl Dunash ibn Tamim,65,67Adelhard of Bath,5,55,97,119,123,126Adhemar of Chabanois,111Aḥmed al-Nasawī,98Aḥmed ibn ‛Abdallāh,9,92Aḥmed ibn Moḥammed,94Aḥmed ibn ‛Omar,93Akṣaras,32Alanus ab Insulis,124Al-Baġdādī,93Al-Battānī,54Albelda (Albaida) MS.,116Albert, J.,62Albert of York,103Al-Bīrūnī,6,41,49,65,92,93Alcuin,103Alexander the Great,76Alexander de Villa Dei,11,133Alexandria,64,82Al-Fazārī,92Alfred,103Algebra, etymology,5Algerian numerals,68Algorism,97Algorismus,124,126,135Algorismus cifra,120Al-Ḥaṣṣār,65‛Alī ibn Abī Bekr,6‛Alī ibn Aḥmed,93,98Al-Karābīsī,93Al-Khowārazmī,4,9,10,92,97,98,125,126Al-Kindī,10,92Almagest,54Al-Maġrebī,93Al-Maḥallī,6Al-Māmūn,10,97Al-Manṣūr,96,97Al-Mas‛ūdī,7,92Al-Nadīm,9Al-Nasawī,93,98Alphabetic numerals,39,40,43Al-Qāsim,92Al-Qass,94Al-Sakhāwī,6Al-Ṣardafī,93Al-Sijzī,94Al-Sūfī,10,92Ambrosoli,118Aṅkapalli,43Apices,87,117,118Arabs,91-98Arbuthnot,141Archimedes,15,16Arcus Pictagore,122Arjuna,15Arnold, E.,15,102Ars memorandi,141Āryabhaṭa,39,43,44Aryan numerals,19Aschbach,134Ashmole,134Aśoka,19,20,22,81Aṣ-ṣifr,57,58Astrological numerals,150Atharva-Veda,48,49,55Augustus,80Averroës,113Avicenna,58,74,113

Abbo of Fleury,122

‛Abdallāh ibn al-Ḥasan,92

‛Abdallatīf ibn Yūsuf,93

‛Abdalqādir ibn ‛Alī al-Sakhāwī,6

Abenragel,34

Abraham ibn Meïr ibn Ezra,seeRabbi ben Ezra

Abū ‛Alī al-Ḥosein ibn Sīnā,74

Abū 'l-Ḥasan,93,100

Abū 'l-Qāsim,92

Abū 'l-Ṭeiyib,97

Abū Naṣr,92

Abū Roshd,113

Abu Sahl Dunash ibn Tamim,65,67

Adelhard of Bath,5,55,97,119,123,126

Adhemar of Chabanois,111

Aḥmed al-Nasawī,98

Aḥmed ibn ‛Abdallāh,9,92

Aḥmed ibn Moḥammed,94

Aḥmed ibn ‛Omar,93

Akṣaras,32

Alanus ab Insulis,124

Al-Baġdādī,93

Al-Battānī,54

Albelda (Albaida) MS.,116

Albert, J.,62

Albert of York,103

Al-Bīrūnī,6,41,49,65,92,93

Alcuin,103

Alexander the Great,76

Alexander de Villa Dei,11,133

Alexandria,64,82

Al-Fazārī,92

Alfred,103

Algebra, etymology,5

Algerian numerals,68

Algorism,97

Algorismus,124,126,135

Algorismus cifra,120

Al-Ḥaṣṣār,65

‛Alī ibn Abī Bekr,6

‛Alī ibn Aḥmed,93,98

Al-Karābīsī,93

Al-Khowārazmī,4,9,10,92,97,98,125,126

Al-Kindī,10,92

Almagest,54

Al-Maġrebī,93

Al-Maḥallī,6

Al-Māmūn,10,97

Al-Manṣūr,96,97

Al-Mas‛ūdī,7,92

Al-Nadīm,9

Al-Nasawī,93,98

Alphabetic numerals,39,40,43

Al-Qāsim,92

Al-Qass,94

Al-Sakhāwī,6

Al-Ṣardafī,93

Al-Sijzī,94

Al-Sūfī,10,92

Ambrosoli,118

Aṅkapalli,43

Apices,87,117,118

Arabs,91-98

Arbuthnot,141

Archimedes,15,16

Arcus Pictagore,122

Arjuna,15

Arnold, E.,15,102

Ars memorandi,141

Āryabhaṭa,39,43,44

Aryan numerals,19

Aschbach,134

Ashmole,134

Aśoka,19,20,22,81

Aṣ-ṣifr,57,58

Astrological numerals,150

Atharva-Veda,48,49,55

Augustus,80

Averroës,113

Avicenna,58,74,113

Babylonian numerals,28Babylonian zero,51Bacon, R.,131Bactrian numerals,19,30Bæda,2,72Bagdad,4,96Bakhṣālīmanuscript,43,49,52,53Ball, C. J.,35Ball, W. W. R.,36,131Bāṇa,44Barth, A.,39Bayang inscriptions,39Bayer,33Bayley, E. C.,19,23,30,32,52,89Beazley,75Bede,seeBædaBeldomandi,137Beloch, J.,77Bendall,25,52Benfey, T.,26Bernelinus,88,112,117,121Besagne,128Besant, W.,109Bettino,36Bhandarkar,18,47,49Bhāskara,53,55Biernatzki,32Biot,32Björnbo, A. A.,125,126Blassière,119Bloomfield,48Blume,85Boeckh,62Boehmer,143Boeschenstein,119Boethius,63,70-73,83-90Boissière,63Bombelli,81Bonaini,128Boncompagni,5,6,10,48,49,123,125Borghi,59Borgo,119Bougie,130Bowring, J.,56Brahmagupta,52Brāhmaṇas,12,13Brāhmī,19,20,31,83Brandis, J.,54Bṛhat-Saṃhita,39,44,78Brockhaus,43Bubnov,65,84,110,116Buddha, education of,15,16Büdinger,110Bugia,130Bühler, G.,15,19,22,31,44,49Burgess,25Bürk,13Burmese numerals,36Burnell, A. C.,18,40Buteo,61

Babylonian numerals,28

Babylonian zero,51

Bacon, R.,131

Bactrian numerals,19,30

Bæda,2,72

Bagdad,4,96

Bakhṣālīmanuscript,43,49,52,53

Ball, C. J.,35

Ball, W. W. R.,36,131

Bāṇa,44

Barth, A.,39

Bayang inscriptions,39

Bayer,33

Bayley, E. C.,19,23,30,32,52,89

Beazley,75

Bede,seeBæda

Beldomandi,137

Beloch, J.,77

Bendall,25,52

Benfey, T.,26

Bernelinus,88,112,117,121

Besagne,128

Besant, W.,109

Bettino,36

Bhandarkar,18,47,49

Bhāskara,53,55

Biernatzki,32

Biot,32

Björnbo, A. A.,125,126

Blassière,119

Bloomfield,48

Blume,85

Boeckh,62

Boehmer,143

Boeschenstein,119

Boethius,63,70-73,83-90

Boissière,63

Bombelli,81

Bonaini,128

Boncompagni,5,6,10,48,49,123,125

Borghi,59

Borgo,119

Bougie,130

Bowring, J.,56

Brahmagupta,52

Brāhmaṇas,12,13

Brāhmī,19,20,31,83

Brandis, J.,54

Bṛhat-Saṃhita,39,44,78

Brockhaus,43

Bubnov,65,84,110,116

Buddha, education of,15,16

Büdinger,110

Bugia,130

Bühler, G.,15,19,22,31,44,49

Burgess,25

Bürk,13

Burmese numerals,36

Burnell, A. C.,18,40

Buteo,61

Calandri,59,81Caldwell, R.,19Calendars,133Calmet,34Cantor, M.,5,13,30,43,84Capella,86Cappelli,143Caracteres,87,113,117,119Cardan,119Carmen de Algorismo,11,134Casagrandi,132Casiri,8,10Cassiodorus,72Cataldi,62Cataneo,3Caxton,143,146Ceretti,32Ceylon numerals,36Chalfont, F. H.,28Champenois,60Characters,seeCaracteresCharlemagne,103Chasles,54,60,85,116,122,135Chassant, L. A.,142Chaucer,121Chiarini,145,146Chiffre,58Chinese numerals,28,56Chinese zero,56Cifra,120,124Cipher,58Circulus,58,60Clichtoveus,61,119,145Codex Vigilanus,138Codrington, O.,139Coins dated,141Colebrooke,8,26,46,53Constantine,104,105Cosmas,82Cossali,5Counters,117Courteille,8Coxe,59Crafte of Nombrynge,11,87,149Crusades,109Cunningham, A.,30,75Curtze,55,59,126,134Cyfra,55

Calandri,59,81

Caldwell, R.,19

Calendars,133

Calmet,34

Cantor, M.,5,13,30,43,84

Capella,86

Cappelli,143

Caracteres,87,113,117,119

Cardan,119

Carmen de Algorismo,11,134

Casagrandi,132

Casiri,8,10

Cassiodorus,72

Cataldi,62

Cataneo,3

Caxton,143,146

Ceretti,32

Ceylon numerals,36

Chalfont, F. H.,28

Champenois,60

Characters,seeCaracteres

Charlemagne,103

Chasles,54,60,85,116,122,135

Chassant, L. A.,142

Chaucer,121

Chiarini,145,146

Chiffre,58

Chinese numerals,28,56

Chinese zero,56

Cifra,120,124

Cipher,58

Circulus,58,60

Clichtoveus,61,119,145

Codex Vigilanus,138

Codrington, O.,139

Coins dated,141

Colebrooke,8,26,46,53

Constantine,104,105

Cosmas,82

Cossali,5

Counters,117

Courteille,8

Coxe,59

Crafte of Nombrynge,11,87,149

Crusades,109

Cunningham, A.,30,75

Curtze,55,59,126,134

Cyfra,55

Dagomari,146D'Alviella,15Dante,72Dasypodius,33,67,63Daunou,135Delambre,54Devanāgarī,7Devoulx, A.,68Dhruva,49Dicæarchus of Messana,77Digits,119Diodorus Siculus,76Du Cange,62Dumesnil,36Dutt, R. C.,12,15,18,75Dvivedī,44

Dagomari,146

D'Alviella,15

Dante,72

Dasypodius,33,67,63

Daunou,135

Delambre,54

Devanāgarī,7

Devoulx, A.,68

Dhruva,49

Dicæarchus of Messana,77

Digits,119

Diodorus Siculus,76

Du Cange,62

Dumesnil,36

Dutt, R. C.,12,15,18,75

Dvivedī,44

East and West, relations,73-81,100-109Egyptian numerals,27Eisenlohr,28Elia Misrachi,57Enchiridion Algorismi,58Eneström,5,48,59,97,125,128Europe, numerals in,63,99,128,136Eusebius Caesariensis,142Euting,21Ewald, P.,116

East and West, relations,73-81,100-109

Egyptian numerals,27

Eisenlohr,28

Elia Misrachi,57

Enchiridion Algorismi,58

Eneström,5,48,59,97,125,128

Europe, numerals in,63,99,128,136

Eusebius Caesariensis,142

Euting,21

Ewald, P.,116

Fazzari,53,54Fibonacci,seeLeonardo of PisaFigura nihili,58Figures,119.Seenumerals.Fihrist,67,68,93Finaeus,57Firdusī,81Fitz Stephen, W.,109Fleet, J. C.,19,20,49Florus,80Flügel, G.,68Francisco de Retza,142François,58Friedlein, G.,84,113,116,122Froude, J. A.,129

Fazzari,53,54

Fibonacci,seeLeonardo of Pisa

Figura nihili,58

Figures,119.Seenumerals.

Fihrist,67,68,93

Finaeus,57

Firdusī,81

Fitz Stephen, W.,109

Fleet, J. C.,19,20,49

Florus,80

Flügel, G.,68

Francisco de Retza,142

François,58

Friedlein, G.,84,113,116,122

Froude, J. A.,129

Gandhāra,19Garbe,48Gasbarri,58Gautier de Coincy,120,124Gemma Frisius,2,3,119Gerber,113Gerbert,108,110-120,122Gerhardt, C. I.,43,56,93,118Gerland,88,123Gherard of Cremona,125Gibbon,72Giles, H. A.,79Ginanni,81Giovanni di Danti,58Glareanus,4,119Gnecchi,71,117Ġobār numerals,65,100,112,124,138Gow, J.,81Grammateus,61Greek origin,33Green, J. R.,109Greenwood, I.,62,119Guglielmini,128Gulistān,102Günther, S.,131Guyard, S.,82

Gandhāra,19

Garbe,48

Gasbarri,58

Gautier de Coincy,120,124

Gemma Frisius,2,3,119

Gerber,113

Gerbert,108,110-120,122

Gerhardt, C. I.,43,56,93,118

Gerland,88,123

Gherard of Cremona,125

Gibbon,72

Giles, H. A.,79

Ginanni,81

Giovanni di Danti,58

Glareanus,4,119

Gnecchi,71,117

Ġobār numerals,65,100,112,124,138

Gow, J.,81

Grammateus,61

Greek origin,33

Green, J. R.,109

Greenwood, I.,62,119

Guglielmini,128

Gulistān,102

Günther, S.,131

Guyard, S.,82


Back to IndexNext