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Show . ARITHMETICORVM Pnoposrno 14f. ' .l-OO: ‘. 'Dmrpropofltas quantimtes potentm rant/4m , vel cube tantum, LIBRI PRIMI, PARS II. 10! ' C 0 R O L L A R 1 V M 8.. ruelfcamx'o qudmto mem l"Hom'les'mm‘fm [om'flmf‘l "Ml"? m- Ex qmlms mxmfl‘llum <3} , lmmlmodx dmrum qmntitamm 1.. uéccm confzmgcrc : "dd .zl'temm "[1 .Izltei'flfltbtraberu - hmmam ell: quantitas vnius no(lifi-crcntinfemper tam nggrcgnumqufim .. l. r«.l.."-,l',.'.'~.. ' (‘1le (ILLIUUEICCS (.0m.n;mu..mll_s lllLllLCln lllpp)nun Ul, Ll‘lnt fimtnumxus :le num:rmn 2 iintcrgo llcut numrrus 1.3(lnLl‘nc 5. b rum la. q'mrum maior l).& lurum mun :rqrgm aggl'CgJ-fum 11! (3g l1. qua2. 5. f dial-mm verb dJEE iplbrum 1 hquadmu l1‘nt cf. cum 1 2-5- k drati ("Ccunlli k 1- (L1! "Nil-""5 .ulrem propof1tx,l1 "Ottml‘l [anti . ..‘, rnlnlb (3g VLEquIClPl-Xl'ill'n commenl‘umblhs. 1) R 0 p O s r T I o "a . 1725.17an qzt :ntémmm :‘mclo plzzrmm nominum , agwemmm diff?ad min} n (11m, ant qtmmifinll nomim rentiumqm z'ig U Ccm lncémrnlhrabilia : tunc congregatio hand nliter fieri porcllz, 61.}. 1. {mt rationales, fin: un‘um pomntix {gm qulalmm m 11.51 nutem ,cu'oo tth‘lm rationales , 61mm cu‘fi 11mg q. H mndcm qu 1:!1‘1to (ccunlo mtfomlcs 7 camm quldratalccmnla fin: H lpl e au- (1mm aggrcgflris mcmlu'is P" nducrbium Plusmcc ctinm dfa aliter profi‘rrikluim per nducrbifi Minuszlicut oflcndir Euclidcs in d'ecimo,mm le3l7i1101nijs,qu§m dc rcfidu'is. Vbi vcré fucrint duo [can qLLmEimtcs ll .1: t x.& ~,1luom.1m E x. llll‘ltfltlzlltllJC Tl. "CUE m}50. n mxi .1 b.11clinuiCc mynscdl‘: all," 85 m n. ipl1s c f. SC ipil ‘9 C1. iplls '- 50- (1 g [1- WC "OH-iPfi l' ‘1 lPfiSk L llnF proportionalcs. Chllmnlmfij' ium‘lzx conflmt me q11antimrcm,&idco rcdigcnda [um avl vni x 12.53. f licct qtnnt utum. p:0_rortioml1u‘m , tam quudmm allm'mccm, qui‘n Cubi adinuiucm , {SC quim lccumld quldfllm admmccm 55 nomiua inuicem C6mcnfi1mbilia: tuncca,pcr pracccclentemmonnpmcn in additions. QLod l1 minori maiori fill)r1';1lmn1r,filper- cilqmntims vm'ns nomim's, in {uhtmffionc Semper igitul‘ d‘uo nomiua, quit in gdditicnc, vcl lubrmélionc ad vnum‘rcdigi polL dsim c puss clignimtcs lcmpcr proporthmlcs lunt; Proptt‘vrm VL fimmccligcnzln lungvr qufim paucilfimis nominibus flue aggre- dclicctflubi q'lfixlllltftflflpl'ClllE‘Cubl tanlcmL‘qua'l. am tsclm‘ d1 quadrupliclmt, 8611c dclnCcps prrJ-Auortxgncm r1 luufn. Hm‘c gitumlhuc difl'ercntinm profcramus . Er in additione h-oc fempcratgcdc-ndfi, qubd nomlm per Plus gfeminarafilus conficiunt: (E%11§[ur,quoni:1m per cornuxufhuyk mm: mm {fro-:2 ml \ncn'ml- Pcl‘ Mums Vch‘) nomrmMmus. mnrumgnqlmm,Flu-glen tantum at; so- Munls,qmmfx comunc'h confl:1nt.%r3dhnominum altcrfi per ariuuncu tum : :4 1d mum 4.096.. 16. CUD'Tmm difcrcntiun, llc allaggrcgnmm‘ D'llllifittrgntmm. : [clcirco (SC mlismr 131;? . down) {11: nimr', mliunr diffircmimnqualmtisiék cubi culwss, X l" J‘lfl q'uir 1L1 (lzcnfglis plugnltcrfi par min' notctur, tunc corfi cxccllhs adijcicndusnut {ubrrnhcndus erit{ummxndijcicndus guidiqfi nomcn per plus notatfiun‘aiqs cflfilbtrahcndlls v;1‘6,f:t1}n}n;1ltxs cjll‘ rftliquum po- qnsulcnrjs proportionalm cum: Ct d2ix "=23 l.‘:}-,1.‘nfi1.Vn_'i: um: y;. l18-10L4v3191 cit m, numcrus ade.nv.1mct‘mn: fimficu; 51.11 .1 .1::us;1d .1. nt~-, men.Yndcl1nomma conrranp mulls'lnllgnlm,-fucr}nt.tqu‘alm, tunc mlnl con llanrzmm quod 1ndc adlmrur , lunc lubtrahlrur, .J 11: "6" 37‘ rum, hoc Cll.fiClltqm1ll[3lllingfllltlllll qugndf'lm-n » Tyra. minum vtmnquc per Plus notcrur, {upercrit difl'eyentia nominfit , ' l" '58. 1'. I. (lLRza. 4,. In. z... 8" g . cu: clfc. numcms 1d (Lnutnctum, Iggwgnum inhge: .1 ‘ ,; ad a] ti , :riL qtlzxdmru n mm:L‘oruzntl (lmtos ilngulom n qmlsmu cr»: (1c non ncc C. iplxus lln leILIClEL'LE‘L rimmm rx-:ul L lulu duhrcnnx qumumtum tx. ml quadratuvn- 1p!1us.{. 1d:m,1.l. llc ‘ I ' ' ~ ' ‘ . .I cul1i5,& dc llzcumlis quldmns diccnrglfi. Qg‘miam igimr (I \121times tx. none {um per quadrant m n. mntum lulnc,.5}1rczl.11. ad c. (15:1: )7. nuznerus ml quadruum timing c. hem ‘i; (1: 2. mm mgrus ad quadratum ipfius d. \hm cx iam (lcmonflmus y. n 11-7 m:rus crltquzvlrlzum aggregati ipl‘arum tx. & z. numcrus 6:1: & its. fil'mm inméh permittcrur. In'lubtmélione V6r6,fi 110- per plus qdé notandmcum illud nomcn i quo fit lubtmfllo mai9 ell: pgr Mans vcro m {c ribcncla, cum fubtrahsndfi nomcn maius cl‘tihgnlb nfit Domini mqgallgmil rclht. ‘Cfifidll‘i zlmbo 1-10mi.. 11:1 Ber mm? notam llnt , llmxhter. {upcrcrltcxccl I‘JS Igolimnlum; vcmm per l '1th nomgylusgum mams Hahn-1‘11"!) Hem: u tta xen- flumng mmus "umlllfl'nbfn'durlill? O'lllsllt‘lllfilfllll?) ntgirn ma. ms filer}: Nam a: zmllms coxumilul mil x‘n 1:4" u ntf 42mg"? l;1l}:bl§ricbl;n:l;:li qumlralumwlil‘l‘étenIixiplhrum [ x.5ic nomlEic Eur q 111 .1 11:1 (.1111 fi'nommum altcrum per l'lus filter"? 9:: congrris, qnim cxvccllhs propofimrum‘ qlllntflltll'n. at: {m} ‘1 ' aursm quantinucs t x. cubo rancalm'funt ration 1l35: runc .1nHtcr quzrcrur mrummm Congeries , qut‘un «21¢:th per 9.11705 l SiLlcmum quadmco llfcundo tannin} rationml'cs ;tunc mus con- 0111? WC eorum gggrfgatum Plo re ' O u Er? .llon ‘l b (Sum (ICl'JC‘l'blO le'ls,vel va.15,cumquor c1 lcct ?0F31_:turrr‘h [.5' aquo ficiubtmého. CM? 131:7":Cl"a {ta "stratlllgllllrlatlilzn: :01" In" ' & Ber COHQEPI-fun} mm}! co‘gtmta > gerics & execflhs P." [ccunda quadrata notificabiturc. L cgeallt. Igltur ad rchqua mm cqn mm Cc 5 Pao- .o R o ‘7 mmm. w--"‘-""""‘ ‘4 *" *"‘~WM 4m ‘ V |