230 Encyclop^diae Lib. XIV. 



QuonioJo 

 loci au- 

 geant va- 

 lorcm nu- 

 meiocum .' 



Clairci no- 

 ucnaiJT 

 □ umerotu 

 iluaE llnt / 



• 1 000000 



500000 



— 100000 



fOOOO 



—.10000 

 5000 

 • 1000 

 500 

 • 100 



50 



— 10 



J 



— l 



Algoritli. ; 

 mus (juii.i ' 



ioca quo- 

 ino^io f« 

 innitem 

 Juiicijut i 



Si ijHtf dejlituatur calculu , fkciHpoterit hancnume' 

 rationem,vt dj^tjuatuor jpecies, expedire creta^mitlena- 

 rios,centenarios,o' decurias exprimat circHlis,hoc rnodo : 

 o tt^^iV/o. 

 o (^entu/n-.. 

 o ^ecem-,. 

 o IJnum-,. 

 Tum enitnvnitas loco fuperiovi fcripta flgnijicabit 

 miUe,binariui duo millta^i^c. 



R E G V L jE. ♦ 



/. (i/4lgorithmm ftmitur late vclflriiie. 



Algorithmm eft vox Arabico-Grxca i^% -i4/,articaIo Arabi- 

 co,& xciS/j.''!;. Tam latc itaquc patct , quam late Arithmctica, 

 vc VViteliindtM in Logijliid rcde obfetua:. Atque hinc cft, 

 quod ChriftophoTM Rudolphw in Cojfii iiaiK obferuat metho-t 

 dum. AlgorithiMtis elt vulgaris,v,el Cofricus.Algorithmus vul- 

 garis cft numetotum intcgroium , docens numerarc , adderc, 

 fubttaherc,multiplicate,&: diuidete : vcl fraAorum,qpi finiili- 

 tet iftis cjuinque o/ficiis abfoluitur. Algotithraus Cofllcus li- 

 militci eft numcratio,additio,fubtta.5lio,multiplicatio, vcl di- 

 uifio Coflica. Et hic Algoiithmus Colficus ctiam eft integro- 

 ium,vel fraftoium.Vtcrqucincludlt ttes Algoiithmos : viJel. 

 Algorithmum vulgatem quinquc fpccicfuin , Algorithmum 

 ColTlcum fignotum Conicorum , & dcniquc Algoritlmium 

 duotum iftorum fignorunl t & — . Et ita quidcm Algorithmus 

 accipitur liic.StriHii Algorithmus complciflitur quinqucfpc- 

 cics numctotumintcgtoium, hoc cft,modos numetandi prf- 

 inos , difFiifos pcr tctam Arithmeticara , vti funt Numeratio, 

 Addino, Subdili^io, Multiplicatio, &Diui{io.. VVitel^iiidu.s in 

 Logift. fpccies iftas nuuult appcllarc quinquc offici.-i,quomo. 

 do in Oratoria nunkrantut quinquc officiaoratoris. Quidara 

 omittuntTMiuucrationem , &qi-iatuor duntaxat fpccics com- 

 mcmorant. Alij duas addunt, Dupl.itioncm & Mediationem. 

 Sed Duplatio cli multiplicatio numeripct 1; AIed!atio,di\xifio 

 numeri pcr i.Qijare fi dnplatio eft noua fpccics.ctiam triplf- 

 catio, quadruplicatio &c. noui fpecics fucrint. Hicnon pof- 

 fum , quin tibi commendcm KhabdologiHin loannii Neferi, 

 Baronis Seoti , qua totam fetc Atithmcticam docet bencficio 

 lamellatum aut lignotum, quibus ccrti numcri fuiit infcripti ; 

 dcquibus vide libellum ab ipfo cditum. 't ■ .:< 



/ /. Locorurn firies auget valorcm not^rum-r. 



Cum omnis numerus infinitum fui augmcutum admittat, 

 ideo pro inctcmcntotum diuetfitate, Vtpote denorum, cente- 

 notum,milIcnotum,& c^eterotum, diucrfls eum fubinde notis 

 fctibcre non datur. Opotterct cnim notatum quoque infini- 

 tam eflc varictatcm. Vetum quod notis dccft,id earura rcpc- 

 titione loca tcfarciunt ; quotum progtcfTu cadem not.T aliam 

 atquc aliam potcftatcm induunt.&quidcm co auifliorcm,qu6 

 in nNmeroruin copulatione ad finiftram amplius tccefrerint. 



/ / /. T^neri dtJiingUHntur lirnitibnt fen clajjlbiu 

 nouenariis : ^u£ Gracis dicuntur jnea/tf. 



rrimu^ limcs eft fievitSut, fimplicitim numcrorum,vt 1.1.3. 

 Scc-undiii S%>cttSiiiv,\fio.io. Tertiits ixaJovTei^fiifYt 100.100. 

 Qjtartus XifiiaSw», vt 1000. iooo. §lui7itttt nvg/iet^M, dccem 

 tniUiura : vt looco.toooo. Sextm iKocIiPTa^uv /^ih.luv,ccnzata 

 millium ; vt looooo. Septifntu decics centcniim millium, fcu 

 millc niillium , vt loooooo. OSiautts ccntics ccntenum mil- 

 Iium,vc looooooo. Nopu! cft millies centenum roillium, 



flVttnauv UVflan, vt loooooooo. 



/ y. Loca in decupUi proportionefe fuperant.-. 

 In fcribcndis & cnuntiandis numeris ptogi edimur afiniftra 

 vcrfus de.xtram.in iifdem diftingucndiscontra a dcxtra vetfus 

 finiftram;& quidem hi,ytprima nota fiuc eitrcma vrrfus dcx- 

 tram.fuum numctum fcmel cxptiroat:yif «»</<» decicsfeipfam 

 metiatui ; rw»»fcipfaia ccntics numcrct. Sic crgo numciii 



ixua dexttotfum defcendunt, vt minimus extremum dextetat 

 locum teneat.Qu^arc hic quoque minima notz n}(y>liT»yis,i\\xe 

 prima cft , vbi quilibct piiinam Si genuinam (u»m fignifica- 

 tionem tetinet. In czteiis locis duplici potcftatc-axmatur, na- 

 tiua fcilicct fibi piopria,& alfumpiitia Ea cnim gcheralitcr loi ■ 

 corum ratio feruatur, vt confequens antccedentis decuplum 

 continue polTit. e.g. nota 4 per fc quatuot valct : tantundcm 

 ctiam piimo gr.idu : in fccundum vero promota dccupluin, ' 

 puta quadtaginta, vt hic .( o : in tcrtium itcrum fccun Ji deco- 

 plum, nempe quadringcnta , vt hk 400. Atquc ita in cjEtcris 

 notis tv Tw 7<;{;W locatis giadibilfquc vsrif^arit iiintTAas-/^ 

 obfciuatut. Notx igitut ArithmeticDe , quando fine locorum 

 refpedu confiderantui.feipfas fcmcl (Ignificant •veiilm quan» 

 do ad loca icfetuntut,coium rcfpcclu in dccupla piopottione 

 augentut,ita vt nota fccundo loco fcipfam dccics repra:fentct, 

 intertiocenties,in quaitomillics , in quinto dccies millies, in 

 fexto centies millies.in feptimo millics railliesi&c. Cxteriim 

 feties ifta locorum procedit a dcxtra verfus finiftram ; taiorc 

 Hebr.xotum & Atabum : a quibus hxc ars eft profeda, 



y, Scriptionis ^ pronnnttationts arith/ftttica ratio s 



mneUvna. ,;p;,; niioi ? 



..'•■• " 



In numeris maioribus gradus ad periodos fc habcnt,vt in " 



oiatione commata vel cola adcafdcm. Itaquc vt in otationc, ^ 



ita in numcio cft fcriptio & pronuntiatio.Vttaquc apud Aiith- 



meticos eft varia , hoc modo. Principio adhibcntur virgulat, 



vel intcrnodia.VirguI» rurfus funt minoif s,vcl maiotes Mi- 



notes:vt,5,45<,789,345. Maiores:vt,«7 I893 145^1 789. In- 



ternodia:vt,j4.5fi3.45 6.vel ita j I 434! 367. Z)«;»</ecollocan- 



tui punifta fupta vel infranumeros. Supta: 71,89765878910. 

 Infra:vt,ii345678934. Scd&aIitcrcolIocantuih*cpuni£la, 



vt paulo poft patebit in enuntiatione. Tertio ciphta & nu« 

 meii minufculi fctibuntur fupra numeiuni cfFcrendum ; v^ 



4. i. X. I. o. 



4i3i9o895(?i8j4. ^luarto adhibetur fignum fubunionis : n, 

 1 J45 678. §luinto vfurpantur vocabula millionis ^ fefquiqnil. 



lioni», bimiIlionis:ita nempc vt millio expiimatui cltculo fcyi 

 ciphta. Hic itaque ptiraa nota ponitui fupia fcptimara figU"" 

 lam , fccunda •quinque piastcimiffis.Xupra decimamtertiam. 



o o 



c. gr. «75ii507o«434o. Et ita quidcm habct fcripcio. 



Pronuntiatio continetut his reguljs. i.Veterei aliter enuntia- 

 runt numeros longioref , quam nos hodicj. Sic Hcrodotus aci- 

 thot eft , Xcrxen duxilTe incredibilem exercitum in Gtieos, 

 videl.trcs chi!iadcs,duashecatontades,& duas defcadcs', qux 

 cft ptonuntiatio Grxca. Idem numcrus morePIiniano& ait- 

 tlquo fic cfFcrtut : quinquagies bis ccntcna o<Sogjpta tria 

 millia,diiccnta viginti. Nos eundcm uumcrum his clementi^ 

 acverbis fcribimusacpiofctimus.jiSsnOjvel ita,5, 183,110, 

 id cft, quinquics bis mille , duccrttaodlojginta tiia riiillia, du» 

 centa viginti. Vcl Italico & Gallico moic,quinque millioncs, 

 ducenta odogintatria millia.ducenta viginti. i.FaciUimaefi 

 enuntiatio,fi terni quique numeri virgulis difcernmlur^^^uta 

 cnim ad primam vitgulamdiccsmille ;ad fccutidam.ijnillena » 

 ad tettiam,& fequentcs,mlllics. e.g.74,5«4,o'89,50«,'i'f9. SiS 

 enuntiabis ; Septuagics quatev millics millies millena millia * 

 quingenties fcxagies quatet,niillies millcna milli^i piftogintt 

 noucm millena raillia ; quingenta fcx millia ; oif^ingenta ■ 

 quinquaginta nouem. 3.P»'f)«/'/'«»i9<i itliter: ^aliter ptntiriturj. 

 itavrtiu idemqut numeru.s aliter atque aliter effertur- c.gr. : 



loooooooooo. Deciesmillaesmillcnamillia. - 

 '■'■''. 



1 0000000000. Centies centena tni|lena miilies» 



loooooooooo. Millics'centicsccntena tpillia» . 



loooooooooo- Millies ccnties millena ccaties. 



loooooooooo. Deciescentiesmillenamillia^ccie^c 

 • . " n . • 



Sic in hoc ezemplo : 

 40000000000. Quatct millics ccnten^ millia. 



40000000000. Qtjater miilies centies decicj millcna mil- 

 lia. • •• . 



^.Sin»tmeriminufculi-fiiprafctibanlur,iid fingulosdicesmille 

 ^.Sunt , j«» non repetunt voculam millc ad fingula tommntao 



c. gt. 897<587g9io. 0;.luagies nouies fcptingenties fexagie» 

 quinquies miilena, odlingcnta feptuaginta 0.S0 raillia, non- 

 genta& dectm.6.Compeodiofijfima eft eiiuntiatie,fi adhibtan' 



o o 



tHT vteaiula miUionit , iimillieni^ ^c. Tt ij-j ii}07o<434O. 



Sc?agi?» 



