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ARITHMETICES, 



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Qux eft 



s p E c 1 ji L 1 s: 



CAp.l. De 2(tm€r0$imc fgitra/orum. 



Vn. JB CE V r A. 



..,^ ... — .,„r . 



^ Xpedita eft Atithmctiw gcncralis : 

 ifcquitur rpecMlis>eique tutn tcientifica» 

 tum popularis. ■' ' -i 



Scicntifica eftf abfttada , vel con- 

 creta. 



Arithmetica fpccialis abftrada , fcu geometrica, 

 eft compiKatio numcrorum figuratorum. H^e de- 

 lirinMm Ramus lib.4. cl.geoni. el.9. rtjirt4igimi- 

 rrimm. Scd quia in his numeris rpc^atuc numcratio, 

 k1 cftimultifiicatio & diuino,re£ic hoc locoexpii- 

 cantur. 



Nuncri figutaci funt»qui cx muItipHcationc faifti 

 certara figuram cxprimunt : lili jn^wet ditHtttHr ia- 

 tcra fcu tadiccs : Ramm vocoj laccratos. 



Numcri figurati funt muttipiicationis vnius ,vcl 

 plurium : ic vctique squiiateti, vcl inxquilatcri ; £c 

 lurfas intcgri vcl fca^i. 



Horum numcrorum videnda eft Numcratio Sc 

 Operatio.Illa dicicur nominatio,progrcflio,notatio, 

 & gcncfis : hic analyfis numcrorum iiguraiorum. 



Numcratio cxplicat parcim fpccics numcrorum 

 figucacocum,par(im numcros numcranccs. 



Quantum ad fpecics,numcrus figuracus cft pla- 

 nus,vel foiidus. 



Planus cft figuracus vnius multiplicationis : frflM 

 fttmpe a dnohM latm(>M/ine rthmeris inmctm mHldplt- 

 catti. -^ 



Eftquc xquilaterus,vcl inarquilaterus. 

 Pianus xquilaccrus eft numcrus a duobus laceri- 

 bus zqualibus fad^us : a numeroyft/«fr/ pcr (c mul- 

 tiplicatot f^Hl^o i^/omrquadracus.Gr-tcf J^vva(ii( yfo. 

 $tiuin,Sc irtiiut, 77Q.,Araiici zcnfus. Ipfiiu nota efi j. 

 wl q, Sie \6.tii ^Httdr/ittu, fen fifftratM ^^niiatertu j 

 ^HUtfit » iatirt 6 ftr Isou tqHale^Ht a G ferft mHlti- 

 fiicas9, 



Numerus ,ex cuius in fe multiplicatione quadra- 

 cus producitur , iatus rationale fiuc radix racionalis 

 qaadrata dicitur : vt 6. *U radix ; 6, 



Numerus planus inxquilaccrns eft (a£tus a duo- 

 bus lateribus mcqualibus. Vul^odicitHr furJus, iiem 

 obtongus : vt 6 eRfitntual' inttjHaltbM Literibu4,ntm* 

 fl X fir }. Eiut radix diettur radix furda,id eft , radix 

 numeci non-quadraci : item radix irrationalis , & la> 

 tus icrationaie vel furdum,id eft, latus numcri non- 

 ^uadiacifcufutdi. 



Numerus Bguratus (olidus eft pluriummulcipli 

 tiouum :i 

 gurxtM 110, 



catiouum : vt IK conttnHa mHltipJicaiione 4. f. 6, 



fitfi- 



Numeri , ez quprum continua multiplicatione 

 coDftruunturiblidi ,dicuncur latera feu radiccs foli- 

 4onaiB. 



SoUdut eft cquilaterut.vel inxquilaterus. 



Prxcipuz (blidorum xquilatecoium (pecies funt 

 ofto : 



I. Trium iatCrum zquilaretus dicitur cuhus:rNiM 

 nottfmt cl^dr c. Hicfit d tribni nHmerts tt^nalibM infe 

 mHltiplicatis : vt e^.^ifftitur tx 4.4.4.2^^/1^ 4 in fe mnt- 

 tiflicatUtfiHi ftr ^.finm iC.cfrex i6.in 4. prodtt cnbtu 

 64 .Htne Enctidi eleganter dicitnr nHmerw Itxnm tfQ- 

 \ffdnH,idelita^Halittr dquatii£^littr, Fit ttiamk 

 ^Hudrato inJuHm latus tnHltipticato : h$c efl , ex dtUln 

 Mtmeyi alicuitu infe^detndt tx etufdtm numtrt du^u in 

 frodHilum : ae talisprimia nHmerm dicitnr iatus cubi* 

 iyvfiiatitidix tationalis cubica , latulque rationaie 

 cubicum. 



I I. Quatuor taterum xquiiaterns dicitur biqua- 

 dracus : cuitu nottfum ^^.& b^.Arabibiu dicitur zcn- 

 fizcnfus. Hicfit a quaiHor nutnert! infe mHltiplicatn ; 

 vt S I .fiunt f V 9. 3 -^.i.Fit etiam bi^HodratM k quadra- 

 to in feipftm mHltipiicato : vt ^^ eil ejuadratus , eittf^^ 

 leXHs j. Qtwd fi ^.per fe multipUce^ifit biquadratHS 81. 

 'BifHodratHs Diophanto dicitur /uvo/Mcurura></?»potcn- 

 tix pocentia. 



III. Quinquc laterum xquilaterus dicitur naT 

 •^i!;^2w folidus : cuiHsnotsftnt 15 &f. Hicfit alatere 

 ^uinfnies po^to: vt ex ^.^.^.^.^. fit/olidus 243. Fit 

 ttiam a bfquadrato in fuumlatus duUo: vt 145 ex bi- 

 ejuadrato %i.in latus eius.Fit denujue a cjuadrato in ch- 

 bum dtiilo : tit idemfilidus k juadrato 5). infitum cu- 

 bum ij.Diophanto dicitur (twaidotibCQ', pocentii cu- 

 bus : <»/«*,qu.-idrati cubus : Arabibus furdcfolidus,5c 

 contra^e furfolidus. juanijHam atiis ita putatur dtci y. 

 furgens tnfolidumut 



I V. Scx lacetum xquilaterus diciturquadraticu- 

 bus : Arabici zcnficubus : cuitts notitfitnt yl.& 'jc.Fit 

 aMefn a ^uadrato fiue zxnfo cubici , vet cubo tjuadrati 

 fiui z.enfici mHliiplicato :vttx 5 - 3 • 3 • 3 . ; . ; • fit^Hs 719 

 efi tjiuadr.xticHbHs , fiue xjnficubus: cuius latus efl j. 

 Huius taterts tjHadratum 9. eubici multiplicatum confli- 

 tuit etiam zjmficMfmm 719, Cttbtts denijue eiufdem ta- 

 teris }. vtfott i-j, ^uadrati , hof til, injfe dMtlus , effcit 

 tunAem jenficHhm 719. 



V. Scpccm laccrum xquilaterus dictf uc biiblidus: 

 VHl^ofitrfolidHStdrfitrdefolidHs: cuius mtt funt Bfi & 

 bf.Fu ex continHa numtrifiptits pofitt multiplicationt : 

 vt ni.fiMtttex i.i.i.i,i.i.i. Ittm txfiliao videltcet 

 )2. bis mtdtiflicato fir 2. 



V I. 0<%o lacerumxquiiarerus dicitur triquadra- 

 tus : Arabici zenfizenzcnfus, ^.d.qHadratHS ^uadrati 

 ^uadrati. Eius iwttfunt 355. 0* ^9. Eit ex numeri oRitt 

 fofiti continHa mHltiflicatione : vt ex i.z.i.i.i.i^i.i» 

 multiflicatione fit x^6.tri^HadratHS. Item ex quadrati- 

 tubo videt.6ii.fer i.bit mHltiplifato. 



VII. Nouem lacerum arquilacerus dicirurcubi- 

 cubus,bicubus,& cubufcubi : cfhns notsfunt ccl.bc.& 

 tc.Hicfit d lattrt nouiesfofitorvt ex 1.1.1.1.1.1.1.1.2. 

 fit eubicubHt j 1 1. item d later^s cubo cubato. 



VIII. Deccm laterum xquiiateru» dicitur foli- 

 diqiwdratus : tniMS nita iTifq. Fit i'x numtri multipU- 



tsthr» 



