OCR Text |
Show '. qubd cong'rics mini qmdmti CY triangnh quinteiiiiquui unlct triyium p}'l';17nidi$ quiuil'artc quinm. Qflpii cum iam LIBR PRIME PARS II. 12!~ in h.fict diigiun ip'iusc. Sad sic vuint3iu i1.fiC41'lDiLl‘n ipiiis F. igimr CA lg;[¢jlt~) ditpi‘ ig'iiis 1. b": mimtiti, hoc cf? :x 1;.in {111de if; [arias c F. TIM. , tii:1mniktatz;i'i. (hyxi enim purine 1 (3.1V11itli‘3in him: if: igil-hli: d Iplti ipéius {p.111 6%: {\IL‘J iifitcx cm :1. A: ipi'b 1113th 1.517 (Liqui dtipius‘ Cilipiiu)‘Ci11‘10i1ilin{CiilCCCf‘iiniZlllllitll'ilIi a ridicum & c. aii1nidiuin [liiS n‘litituiims.C1311: 3:33) pmmr'iuun. Sci c F. pr; pifigmiifun , c1]: tripluin agzrzyiti qxiuintorum oficnfum €it in 6 7'" Pi‘gCL-(it'mis iibi‘i : ism conlht pmpoli- 5x qmtuorr.1‘.iici:mspropoiizis flc‘mi‘iitn : Ergo k.r.1ui fit ex mm. in non folum in quinto 311d in queuis aiio loco dc-r g in illlGCiIPi IS :timggregati qudmrom mikut propofi- monfimbitur , (IUOKi dcmoni 11mium propcnitur. tio conchiir. (Lg Li :lLI'C‘JLn pro qultuoz‘ malicibus canclw 1120 ARITHMETICGFVM quadmm per diflin. 121m dcrnoniii‘u‘w; : Tint , CitLBLi 'iizid, quod fitex quinto ti'zrmgwlio in dair‘mn 1‘:‘_iu,‘»<; quieire , fi iungatur cum ipfl) trianquio , (:onflxi‘ji: fir-Emu {IYI‘Jn'iCiiS quadratic quintaScipm' prrceélvntunJaiqncd in 13:: quiu to triangulmin iiuplu‘n mdicis q11i11tr,£1un‘n :‘i'cjvggi‘cga- to and 8; studio ti n1iiirimi'umigitur (icinonflmndi‘m c'rir, COROLLARIVI‘VL {inn d'c, pro quotcunqu: pi‘ogolitis iuinfinitum dcinon- Hinc rcguh progi‘cmonis quuimmrum 6X i'adicibus or- fhubitur . diimtis Facitorum coniht. Q( .i ii num rri pi‘ogrcifimis pro poflrre fin: mi mdiccs lingulia iinguias dupliflunc qmcimto rum quccfitclrum Tammi, :ui qLici :atoru m imiicum congericm crit quaiiriipla: G tripiimunupiafi qiudi‘u nihiédccu- P11; ii quincuph vigccupla q11incupi;1,&imdcino‘ps: mm; qiiadi'atomm ratio duplx til ad latcrum rationcm. pROPOSITIOV 561. Si Fuerirzt (1110:12le ab vnitate ordinizté mdim : (mod fit ex agqrvgato gaff/mm (5" j‘cqxcm'fx rmifwm in produfi/W ex: 65/; dermduplmn fimpcr a? 1d coszgfericm ex who qzmdmro, (y trifl- gui'o irolixrcmlibzzs poflrcmfi :0" ,‘zcrmrlefixmplum pymmidi; qsmdmm l‘OllltC‘I‘fllis, boc (fl .112'qregdti qmdmtamm ex rizdici- [ms ordinatix produfi‘omzm. Singexcmpii gratia,quamor ab vnimrc i':1dic::s,qim‘uin Vic" lit Lei9 quadruus b.Dimidfum multiruc‘iinis ixuiicuin [it c. Radix fcqucnleoc oft, quinm lit d.f‘i1t.('1l.1¢cx b.in d.11r.1mci‘us c.& ex d. in C. numerus F. Pllm‘i eff, quire! c. elf'aggrcgatum cx cubo- ipfius 3. SC cx qm-imto cius, hoc Cfl,CX bquandoquidcm d. muiripiicuor c4} Vnita- ts nmior quim n. qiiodz'13p5-1‘ 1.x" huius F. d? triangulus qua: tus,aggrcgaruni€1uc qimruor radicum. Danni: gfirm" ; ri- tum 1pflu‘um a.d.mdicum:& 11. fit prociuftum L'x Cll‘un'ifln a. d.muiriplic.ltionc)flamingind-J cx ‘ in [Liminrii‘us ii. Sc {ic demonfh‘andum c'i'ir,qut)d numm‘us R. 3:72 ciu pium ad Aggie gatum 6‘»: c- f: (Lg-3d iic pita. Numrsi'us g..c3nit1t ex :1. 8: d. & idro conftar c-x duplo ipiius a.& ex VniCJ'CC.& m1 meme 'n. comhtcx 11,8: b. Pct nomm prxcsdcnris iiin‘i: quoninm h. cf} pane alum longior quinti 10 CL Er 5.9!": quartus quad rat" cums radix a. Igitui~ ex a.in a I). lie: 6. 8: ex duplo ipiius a" in h", COROLLARIVM. Hint :1er n1 rcguh clicimr ad habcndum cumulum qua» dmmruzu :1 quotwnqmab vnime ordimtis nuiici'aus {1&0 rum.%fid ii pro mdicibus proponitur alix qmnzimtcs (i:- cundil 11 pint crcm :ntum ordimmz , tunc proportio caruzn (inguhmin mi iinguliis indicts duplicmh cit & fccfidum mi :m proportion :m mizugcniia , v-cl dimiuucmia Cl'it fllln'inl radicum, vtpi‘oucniat 111mm" th1;ir.1t<)rii in pro.~ Bofimrum qimntimtum.. PROPOSLTLO 37".. 'P'ropofltfs Lil; Unintc qzz_1tlibct ridiciuusfi inzdir proximc {it (11137;: m i [Eur nggri._ «zudréto pn,7rc;;rz.c (fi' (1' di- Ao iv'zu; portrait: pro, . "cm," "20154?" film-:2 ifq/Jl'mn if. 'um.02‘0.!JJ'IZ,;¢'.-'¢,7~1_). Exemplig écs 0&0 (iiiboiim: :15 \'i1it.1[¢iin;tli§ Cum iziis qxudmrislh. dix pr- ' "mi: {cqucns crit 9.;iczgi'cg-1tum cx quiuimz'p noih'cmre, {ciiicct 6 5.. & ex (iiinidio ipiius polka-mt iciiica‘t 4. crit 6E3. Aio igimrquiui ii 9. ducuur in 63,13i'ciiucemrrripium fuming miium qilldl‘dEOl‘lHl} omqiuni igiiicgt 612. (Mod tic plutpcr56'111L‘L11'1dii10111n)_11'i:i11113nc sum , ex (lggi‘tgdto ipfbrum'S. "v o. iiOC¢lip0'h~c1\1£ ping-ii mm, (Ski'hlucntis‘ proximc radicis , hoc ci‘tcx 17.}u Drainslum , Cfil‘unr‘itm {Ciiica 7 2. iii {:xcupium (umm L‘ dicbmm qiu i .' quod J11 dhnidium tiled smcr";\,{‘1ri, 612-.t7‘zplun21d104.7%! dutorum. Iagirur - c): in 7 l-fiCt mplu mhs {um 111:2.Scd limit 7 2.13.9114 09.1.6. 82 (,?]umm.z qzmdmtormru . ~ ‘ ‘ ‘ ‘ v . I quarc,pcr vigcmmm IL-pcimi Elcmcntorfiquod in ex 72m 8; Equals ' ' ‘ . . |