Arithmetic^ Pars I. CapoVI. 255 



r2- 



3- 

 4- 

 5- 



1' 



7- 

 8- 



^9- 



-4 



-(S 



-8 



-10 

 -1 1 



-'4 

 -i(S 

 -18 



-9 

 -12 



-'5 



-18 



-2 1 

 -24 



-2-7 





-16 

 ■20 

 -24 

 -28 



.j6 



5<7- 



|s- 



-50 



-40 

 -4C 



r?- 



7<S' 



^{! 



^l5- 



-36 



-42 

 -48 



-;4 



-49 

 -<jj 



.64 



.72 



II. Siduorum numerorum alterinquotlibecpar- 

 tesfccecur,ffquatur fadlis etbto iiifingulas |iarte?; 

 H'V(^/f//;<rC."anon totius &partium. Sxe^nflnm hoc 

 ejfo, {?H<criti!r,(fHot fm fepttes 080. Difcerpe alttrutntrn 

 datorum in partcs ff/ttafctmqiie , vt 7. in 2. 5,2. Singutt-: 

 pofca pariihiisin S.du^iSifrctes ^6. Quantum ftciHul^ 

 cdies nottem ? Dijirahe nonem in 5.3.5.0^ nimera cim 

 i.per partes ; ejjicies -%. e.g. 



56 



7* 



Loco hidm theorernatisfolet ^j hoc adjirri : Si vtcrq; 

 datorum quomoilolibct lccctur,fadtus e totis, arqua- 

 cur fado a partibus. e.g. 



7« ^/> aute regulis prtfupponitur cognitio ficilioris mul- 

 tiplicationii: vt tpmntum hts ^uatHor,vcl ijuateraHinaue, 

 vel ter fex e^ciant,pitert naturet. duBu cogmtum habeam. 



Muitiplicatio compolita cft , cum plures incer fe Multipi;. 

 numeri componuncur : vnde dicitur mulciplicatio ''"."«om? 

 coniunftorum. Sub hac continetur mulciplicatio dc- ^° "' 

 compofita. ' 



Ea fit numeris vel calculis." 

 In mulciplicationc qu(j fit numeris,tria sut videda: 



I. Collocatio : ijue. retjutm Nomenclaturam : tk 

 ejua nurneri ali) dicuntur dat: , videltcet multiplicandm 

 Cr multiplicans feu mttltiplicator : 4/9 quxfiti , vt tSi 

 numertts e ?Hultip/icatione refultans, <fui dicitur Proda- 

 £lus d"Fa(aus, ('ollocaturautemrnultip/tcandiufupe- 

 riori /tco,eit<ftjj prim£ mts, k dextris mu/tiphcans direHt 

 fub]ieitur. 



I I. Opcratio : cjUA refficit tnu/tiplicatorem Vfiuf?ij, 

 ve/p/ures. Jit eii multip/icAtis ftrnp/a : hic dupIa-,Jrtptn 

 &c.fiHe compofita cr decompofta,vt atij vocanti., 



Si vnus fuerit multiplicator, ilie in omnes multi- 

 plicandi notas figillatim ducitur , initio fado a dex- 

 nis,&Produdum infra lineafn fcribitur.e.ff.S/W 365. 

 per i.mif/tip/icandi.Dtc primo ter tjuinciue fnnt i^.e^ui- 

 hm direfieftbjice 5. vnitate referuata. Turn dtc terfex 

 fum iS. qutbHt addc vnitatem mente repoftarn c^c. 



Si plures fucrint mulriplicatores, obfcrua has re- 

 galas.i. Operatio conftabit induElione ftue fiet per partes. 

 i.Tot fiidorim ordines procreabttntur,<ftiot notxfuerint, 

 fnu/ttp/icantis. },Ordo cuiuf^ue fiiEli initmm fumet fuh 

 prirna rmtltip/uanti^fHi n^ota. ^.Ornnes fiiHornm ordines 

 per additione?n m vnamfnmmarn co//tgentur. e.g. 



83835 



III. Probatio : ^u£ fit per dtuifonem. Sienim^ 

 fiElw per rnu/tipticationem diitiftf , prodiicat rnHltipli- 

 candum : vetfifiiElus per rnuttiplicandum diuifts , pro. 

 dncat multipticantern , probe perafla cFl rnttttiplicatie. 

 <"•<?• 53 



5<S 



72- 



Ita Vides hic tdern habert ,fintimeriper partes mtttii. 

 pttcentur, acfi tott totts /nuttiplitan fDrenr^. 



III. In fcholisfcrmc hccrcgulaobcinet,9'«<«'^'f"«i' 

 rcgulapigrj,rcu ignauoium : Datts diiabnt notts^ejua- 

 riiin f"'^n'»'^^ dcnano maior esl, fivtriufcjue difiantiam^ 

 .; rffC«''« inHttiptues , tu?n^^ d''<jereunarttm vnam ex da. 

 taru^nalicra ^iei.^iHUi,ahv\\n:,fiibducM,fiiniu ciim^ 



cticjiio in diitcrfos ^radiif diftributi, eyumfiiUus a datifi 

 c, a rctine.imnsnoi,ts paittu ahic a//atas, 



Daci. Diff. D.ici. Diff. 



8 SubJ- 2 2 



7 



S Subd. 

 9* 



2S 



J 6 



Tom. 1 1. 



i 



X\ 



106. Hic 1 06. dittide per j 3 . M prodeant duo : vel 

 dinide per duo,vt prodeant 5 5 . Fact/is tamcn fueritfii- 

 £lu?n diuidere per muttipttcatorem ; ^uia hicfo/et efte.^ 

 minor mu/tipticando. Qmnejumn neutra dtitifio fit hic 

 dijfici/is ; ciHia non optts eii vt Ouotientts not£ injuiran- 

 tur,cnm et conttneantur in attelro datorum. Solent alij 

 cxamcnmulciplicationis infticuere perabicdioncm 

 nouenarij:/wy(//ifff vt nonenariM abjtciatitr ex dttobus 

 datis, <jHoties peteU, CT refidua ponantur infitpcrtore & 

 infiriore crucis parte. Refidua ijk tnfe ducuntur,0- ex 

 produiio rurfM abficiuntur nouem , ejitoties fieri potefij, 

 refiduo in a/tero cructf /aterepofito : cut fi refidnum pro- 

 ducii efi etqitale, proba eli operatio. eg. 



4654 1 

 6 C X<J 



27914 ^ 



Multiplicatio per calculos fic cxpeditur../^^<ifw<^^- 

 M idattir duM in partes,inj^ liuaponanir rnHtttpttcatiduf, 

 in dcxtrk mutttpticator.Poftea dtgitits applicetur fingutii 

 lineis. Turn illa linea,cui digitiis appticatur,vatet vntta- 

 te?n. Pofl mttltiplicatorern auc in mutnpticandHtn,o' fit- 

 Unm coUoca tnparte de.xtra :vtfi i 2 } i.fint mu/tip/icaat- 

 peri^.pone digitumfnper tjuartatn Uneam , (^ dicfcrtiel 

 ~jnum,non autetn ?niUe,dr colloca dect?n in Imeafuperiorn 

 de.vtr<t partis.Dehtnc defcendat digitm ad proxmn?n li- 

 nea?n,paritL rnoHo celiiiCH nnrntnutn »« /ineafitperiore ^c. 



Y j K E G V 



