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Show ib4 ‘ARITHMFHCORVM iplicmum producié flue Plus in anus, flue Minus in Plus mult arc demon. Minus . Poms excmplificai‘e rcgulam ~8i ‘Lumprob lingulm noucni multi~ fii‘agioncm pct numcros rationales , vt iic us omma intelllgantur. P licationcs dillinélx appareant : & {acill Pnoposxrxo x7". pl'urium nomig Dua: propofitas qfiantitates, mgulas duomm, ant sbmx duo- binomlum 7214m,inuicem multiplicaru . Proponatur in binomium cd.cx um cand ipli mult b. 86 a. s nibu nomi bus illa fin: refidua fin. :iiuc um pofit com d. duobus nominibus C.& mium, & alteBino um gula binis nominibus exprcfla, hue alicr per Btmccdcn. m,& cxma vnde r rum rcfiduum. Multiplicéturwe us nonnaltru a fingul in na nomi s itati quant tcm , fingula vnius fiat Eltcni cl. .1" 3.84 (in: na, hoc (R, c. in a. & fiat c.1rcm c. in b.& Circalnfcripno- . LIBRIPRIML'PARSIL io; primnm fucundi Elementorum, ex duf‘u c. in tomm d 6. fit tom' ab. Er quoniam procluélum diuiluin in multiplicanrcm, exibet multiplicamm : idcirco [cm a 'n. qu-d Lil? procuéium valiuifnin iplam a.multiplicantcm, exliibcliit :9!hln (l c. multiplicammlta- quc d cell quantitas quoticns (IX (liuilionc propofim prouc‘nic-ns. Similiter faticnclum ell, 1i, (liuidunda quantims lir. triuomium, aut Plurium nominum. Sedinc11‘1€nto,licucin an u-przrmillh Pct multiplicationc fecimus, ita & indiuiliom aninmducrrere nomi- num infcriptioncs : Nam nomc'n inlhi‘ipffi pct aduci'bium Plus, {1 diuidatur per nomen limilitcr inih-iptuxn : quotiens diuilio- ni‘s fimiliter infcribctur. Si autcm diuidatui‘ per nomen aduer- bio Minus infcriptum , quoricns diuiiionis,psr Minus inlcri'octur. uoniam {Ciliccg tam Plus multiplicatum in Plus , quém Minus multiplicatuin in Minus, Producir Plus , vrin ant: pm- milli ollcnclim us. Nomen aurcm infcriptum per aducrbium, n regulis h g. Item d.in b. &fiat 11.1‘ei'untis (ame prxccdcntf Propofitionc in s, Minu aut Plus, rum, rbio ' _ ncs aduc uor nominibus c Pg 11. quat ex aéta traditis. Nam quantitas comp primam {ccundi Elemcn {Huntis aduei'biorum terminis,crir, per s a l). in tots‘m c cl. term tionc torum , produélum ex multiplica ndo ". l1 noxnma hunota uc quoq Illucl ns. quanritatcm,prouenie [Ctllgl ,_rcc_l1ganiuf, incm iufinodi pofllint ad minotcm multitud luna lnl1!(.:cn] coibet qua'l inter fi per 14"" huius: quod ficri pore i4" talium binomm mcnfllrabilia :Nam per corollarium (‘1qu {acit quanmqntul entia diflet n nominum tam aggregatum, Qiiéi mia multiplirino quad ,aut omia trin r alitc vnius nominis. Non Minus, fidiuidatur pct nomcn fimilitcr notatum,quoricns cli~ Pot-Cl‘iS Priiélico‘ ‘nomcn redigi pollunt,rcdigéclo.(Lug omniameticis abudc fecun ‘. Arith b9 ioni p10 cxPeriii.%>d nos in qugfi iubcmur per binorum, nut plurium nominum: hanc partiti na in fingula alteriusmcr caltuntunfingula vnius quitimtis nomi lc bins qua; ad vnun‘t dcinc 85 : ndo lica vndccimam huius,multip cxg- P R OPOSITIO 18". uifionis psr Plus inlhribctur. (quad non Vfil vcnit , quin diuilbr vnius nominis {camper per plus norarur.) Si autcm diuidamrpcr nomen notatum per Plus,q-uoricnsinfcribaurpcr Minus. @0. Mi niam {cilicct in m ulriplicariombus mm Plus in minusj quém (liuilio- enim Sicut Minus. nus in Plus multiplican11n,nroducit 8: nis Clemonllmrio ht pet multiplicalionis dcmonflmtioncmzim diuifionis rcgulm & cautiones ex prrcccpris multiplicationis deriuantur.%:e lun-‘Cctmm triumlibus Magilhis nonlhmxfik in qug . {lionibus nolh‘is Arithmeticis nlEuim per exemph tradit'x PROPOSI T10 19" n datum Propofitam duorum aut plurium nominmn qmntimtcmfi a. duetas quanti Elle ro. diuidc tntcm duorum nominum quanti uum eomium b C. cuius nomina {um l) c. Cnpiatui‘ d c. Refid cll,vt d.n0mcn, hoc C. b tur céponi quibus umfix nomin m rundc fit..Si autcm iPii b. nomini : 86 e. nomcn ipli C.nomini;rqualc um : tunc capiarur b c.(liuilbi' fucxir Rafiduum duorum nomin p/urfzm: nominam, in damn Tropofitam quantitatcm 'duorum ant Binomium quoddam ixElle 'vnius nominis quantitatcm partiri . Cinnfi'élumzqu 'ue Refiduum a bxx ncminilfi us duolzus a. (S; l). a hu tlatur Pct duodecim diuidendum fit per quantitntcm c. "‘iui dJnm diuidatur 110-. ‘Jlklt PlOLKI 8: c. um . , A - "r ----- ius,n(>men a.in quantita . . .. x nnuxs C __.-.-~ 3 1‘ ~- d b C ‘ plkfluclu mm b.in cadcni c.&' prommat clam cx multl urgct b.l\am aconl c.in ipfius tionc in d. fiat 3.83am multiplica m-lgmll'; PCl diuifor in quotiétcm multiplicauls Producit diuilu Primam 17J pm‘ccdcnté, d c‘binomium coi‘fidcm nominum: Dcindc,pcr qui- d c. 64 Proucnlat multipliccmr qufititas l) c.in quantitatcm l 155‘ vcl per 117‘! dcrims fqum €1'irquf1tims vnius nominis,pcr limtu Producit multip rcliduu {hum in ium cimi EuclNfi biuom gcturmindc. ultipli qufititaté mtionalélté Per i7‘pi‘1‘1pill52111iii lFlalP C-aLl b .l1CLl[ EllCliLl lcxti primi Pct & Proumiar gli. Emmi; t\6, 'xccdcn ,}1cupi itaqiic a.fiC quantitas f. ad iglum g l1. Diuidstur DICO .itaqucl, qEOd quantitas gh. in iplam £6: proucuiat kl. . e :‘W yaw». raubv‘th-w-M ~_ 2., 3-9... * V A. ‘ - , a": |
