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Boethius
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De Arithmetica
In librum De interpretatione Aristotelis Minor
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PRAEFATIO (65=30 r)
LIBER PRIMUS (70=32 v)
CAPUT PRIMUM. Divisio mathematicae.: nec ullis finibus distributa, ut (71=33 r)
CAPUT II. De substantia numeri.: necesse est, in propria semper (76=35 v)
CAPUT III. De diffinitione et divisione: potest in aequalia duo dividi, (77=36 r)
CAPUT IV. Diffinitio numeri paris et: parvitates, atque ideo hic contra (78=36 v)
CAPUT V. Alia secundum antiquiorem modum: 4 et in 4, et (79=37 r)
CAPUT VII. De principalitate unitatis.: sibimet dispositione iunctorum medietas (80=37 v)
CAPUT VIII. Divisio paris numeri (81=38 r)
CAPUT IX. De numero pariter pari: semper pares pariter procreantur. Praeter (82=38 v)
CAPUT X. De numero pariter impari: invenitur. Neque unquam fieri potest, (87=41 r)
CAPUT XI. De numero impariter pari: rursus partes in alias (90=42 v)
CAPUT XII. Descriptionis ad impariter paris, in latitudine, (94=44 v)
CAPUT XIV. De primo et incomposito.: Et primus quidem et incompositus (96=45 v)
CAPUT XV. De secundo et composito.: partem, ut 9, tertiam, id (98=46 v)
CAPUT XVI. De eo qui per: non habent aequivocas partes. Nam (99=47 r)
CAPUT XVII. De primi et incompositi,: metitur. Et eodem modo si (100=47 v)
CAPUT XVIII. De inventione eorum numerorum,: Qua vero ratione tales numeros (104=49 v)
CAPUT XIX. Alia partitio paris secundum: permittebat brevitas, expeditum est. Rursus (106=50 v)
CAPUT XX. De generatione numeri perfecti.: eorum est fixa firmaque, nec (109=52 r)
CAPUT XXI. De relata ad aliquid: vapulantis, vel quaecunque ad aliquid (113=54 r)
CAPUT XXIII. De multiplici eiusque speciebus,: id est unitatem, 2 duplus, (114=54 v)
CAPUT XXIV. De superparticulari, eiusque speciebus,: Superparticularis vero est numerus ad (117=56 r)
CAPUT XXV. De quodam utili ad: inveniri. Namque ut quaternarius contra (120=57 v)
CAPUT XXVII. Ratio atque expositio digestae formulae. (121=58 r 16)
CAPUT XXVIII. De tertia inaequalitatis specie: et eius insuper aliquas partes, (126=60 v)
CAPUT XXIX. De multiplici superparticulari.: aut triplum, aut quadruplum, aut (130=62 v)
CAPUT XXX. De eorum exemplis in: species positas convenienter aspicies. Multiplex (134=64 v)
CAPUT XXXI. De multiplici superpartiente.: et triplex supertripartiens, et triplex (135=65 r)
CAPUT XXXII. Demonstratio quemadmodum omnis inaequalitas ab aequalitate (136=65 v)
LIBER SECUNDUS (147=71 r 12)
CAPUT PRIMUM. Quemadmodum ad aequalitatem omnis: margine cunctas inaequalitatis species proficisci (148=71 v)
CAPUT II. De inveniendo in unoquoque: proportiones, et sesquiquartas comparationes, eas (151=73 r)
CAPUT III. Quod multiplex intervallum ex: componitur, et omnis sesquialter et (156=75 v)
CAPUT IV. De per se constante: quas minime constituta infirmaret. Hoc (160=77 v)
CAPUT V. De numero lineari.: non sit, in longitudinem tamen (164=79 v)
CAPUT VI. De planis rectilineis figuris,: vel tetragoni, vel pentagoni, vel (165=80 r)
CAPUT VIII. De lateribus triangulorum numerorum.: Ternarius vero qui primus est (167=81 r)
CAPUT IX. De generatione triangulorum numerorum.: numeros sine ullius dubitationis erroribus (169=82 r)
CAPUT XI. De eorum lateribus.: in latere positis aggregatur. (170=82 v)
CAPUT XII. De quadratorum generatione, rursusque: unusquisque quadratorum retinebit in latere, (171=83 r)
CAPUT XIII. De pentagonis eorumque lateribus.: in naturali scilicet numero, secundum (172=83 v)
CAPUT XV. De hexagonis eorumque generationibus.: rentur, et se tantum unitate (173=84 r)
CAPUT XVI. De heptagonis eorumque generationibus,: aggregaveris, heptagoni continuo figura nascetur, (174=84 v)
CAPUT XVII. Descriptio figuratorum numerorum in ordine. (175=85 r)
CAPUT XVIII. Qui figurati numeri ex: triangulis procreantur, illorumque collectione quadrati (176=85 v)
CAPUT XIX. Pertinens ad figuratorum numerorum: componas, tertio se triangulo vincent, (178=86 v)
CAPUT XXI. De pyramide, quod ea: tres angulos singulae rectae lineae (179=87 r)
CAPUT XXII. De his pyramidis quae: et si a pentagono surgant (180=87 v)
CAPUT XXIII. Solidorum generatio numerorum.: uno intermisso, pentagoni vero duobus, (181=88 r)
CAPUT XXIV. De curtis pyramidis.: secundum numerorum adiectionem. Perfecta enim (184=89 v)
CAPUT XXV. De cubis, vel asseribus,: si multiplices aequaliter, cubi forma (186=90 v)
CAPUT XXVI. De parte altera longioribus: parte altera longiores, supra ascripti (190=92 v)
CAPUT XXVII. De antelongioribus numeris, et: sola tantum est unitate dissimilis. (191=93 r)
CAPUT XXVIII. Quod ex imparibus quadrati,: huiusmodi numeros eiusdem naturae atque (192=93 v)
CAPUT XXIX. De generatione laterculorum, eorumque diffinitione. (194=94 v)
CAPUT XXX. De circularibus vel sphaericis: rus ille cyclicus vel sphaericus (195=95 r)
CAPUT XXXI. De natura rerum quae: Et quoniam cuncti secundum unitatis (197=96 r)
CAPUT XXXII. Quod omnia ex eiusdem: hoc mundo, deque hac communi (200=97 v)
CAPUT XXXIII. Ex eiusdem atque alterius: videbimus istorum quemdam consensum, (201=98 r)
CAPUT XXXV. Quemadmodum quadrati ex parte altera longioribus, (207=101 r)
CAPUT XXXVI. Quod principaliter eiusdem quidem (208=101 v)
CAPUT XXXVII. Alternatim positis quadratis, et: res ab uno. (209=102 r)
CAPUT XXXIX. Cubos eiusdem participare substantiae: tamen propter aequalem multiplicationem participant (212=103 v)
CAPUT XL. De proportionalitatibus.: quae nobis vel ad musicas (213=104 r)
CAPUT XLI. Quae apud antiquos proportionalitas: haec praedicamenta constituit. Inde etiam (216=105 v)
CAPUT XLII. Quod primum de ea: perimeret. (217=106 r)
CAPUT XLIII. De arithmetica medietate eiusque: et duo a tribus, solis (218=106 v)
CAPUT XLIV. De geometrica medietate eiusque: medietatem, quemadmodum ante prior ad (223=109 r)
CAPUT XLV. Quae medietates, quibus rerum: aequali omnium proportionalitate componitur, et (228=111 v)
CAPUT XLVI. Quod superficies una tantum: Namque senarius ad 4 sesquialter (229=112 r)
CAPUT XLVII. De harmonica medietate eiusque: vissimum terminum ponitur; sic differentia (231=113 r)
CAPUT XLVIII. Quare dicta sit harmonica medietas ea (235=115 r)
CAPUT XLIX. De geometrica harmonia.: dupli sunt, differentia vera 12 (240=117 v)
CAPUT L. Quemadmodum constitutis altrinsecus duobus: Prius igitur arithmetica medietas aptetur. (242=118 v)
CAPUT LI. De tribus medietatibus quae: terminis positis, quemadmodum est maximus (247=121 r)
CAPUT LII. De quatuor medietatibus quas: comparatus, facit sesquialteram proportionem. (250=122 v)
CAPUT LIV. De maxima et perfecta: Restat ergo de maxima perfectaque (252=123 v)
Boethius, De Arithmetica, PRAEFATIO
Edition: J.-P. Migne PL
63
, Paris, 1847
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