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Show ARITHMETICORVM l1 l3 [6 110 li5 ]21 {2 [36145 [55 jTrianguliprimi. IPjics 9|; {4| 618 ll0|12l14116l18 ‘ _______._. _62 l LIBRIPRIMI, PARSII. 63 loco,i1}1pu'oll :7. quldrupluiu tl‘lzln guli Vzio rcrro infor- millo, lumpti , lcilicct tcmarij cilii. Pvmmis szccilcns l‘ I; t 5 l7 ! 9 In In 115 £17 [19 llmpares c'fl: l9. cuius fcxcuplum [14. (luod cum iz. Ezcit [2.6. out lunt duolupplcinfia, {cilicct6;.& 6;.(1112: lingulm fifit cx [ 1 [9 [25 |+9 [81 [12.1 [1691125I289lgy6I] @drati imparii-i; impart: dicffo 7. in 9. larus , {cilicct fecundi quldmri PI‘£~ Pact-051110 ccdcntis , 5111i fuit 81. 86 conixméh cum quidmro dick: imparis, {cilicer 49. Eiciunt 17;. gnomoncm qmrtum , qui coniuné‘tzis {ccnndo quadmto pricdic‘lo , {cilicct 81. F.1cit 2. 56. fccundum quadratum {aquentanAdlmc in quin- 98‘. Qadmplum diéZi trianguli, (Una intermflb pmwdcntixirm parem , cumfexcuplo pyramid/is quadrata ccntmlix immediate difium imparem pmcedcntis coniunft'um, conficit duo fupplemanta , qua fingula fiunt ex duflu ipfiu: impart}: in law: jk. tundi quadratipmcedcntis : (‘7‘ coniunfi‘u cum qutdrato ipfiur imparis confiituunt gnomonem: qui coniunfim mmfecundo qua drato pmdifla, (onflruitfccundum quadratum firquentem, boa cfl,ipfiu5 imparis collutcralem... Intelligo fecundos quadratos cos,qui ex primis in {c dudh's fiunt : v: 16.cft fecundus qua dmt9 binarij 81.fecfidus quadtams ternai'ijg & flc dcinccps. Imquc cxponam prim-am , dcin oficndam propofitioncm. Exponatur ab vnitatc {ex numerorfi fri‘icS, fciliccr, radiccs, 1m pares Trianguli primi,Pymmidcs quadratx cérralcs,qua drari piimi , & gnomoncs fccundorum quadratorum , pct ordincm continuati. (Minis cxaratis , iam in fccundo lo- co,impat cli 3. hic autcm quadruplum triiguli nullum ell. Nam retro intcrmiila vnitatcmullus cfl: triaxigiilus.pyrainis hunc locum prgcedés,cl‘t vnitas cius, fcxcupluscfl {enariusz qui {olus facit hic duo {Upplcmcnm 5.& 5. qumfingula 66: ex impure huius loci,icilicct ex 5. in laws {ccundi quxdmti prmccdcntis, fciliccr vniraris, hoc ell , in vnitatem. Et con- to loco, implr numcrus cit 9. quadruplum trinnguli non immediate przeccdcntis , {ciliccr 6. cf} 24. pyrmn‘is przcc- dens 44.. cuius fcxcuplum 16+. quod cum 2.4. cl'ricir 288. qua: funcduo filpplcmenmfcilicu.i+4.86 i44.qu;t filloula fiuntcx Imparcdiéto, {cilicct 9. in 16. laws fciliccr, (Cinndrari fccundi przxnilflqui filit 256.& coniunéh cum quadrato diéfi imparisfciliccr cum Sifaciunt 369.gnomoncm iungcndum fecundo quad‘rato pnedflofciliccf 2 65V: c6Hct 62. 5. quiidmtum lEcundum quimrij : qui i‘c'quirui'ym fitus in prmicnri loco.Sic pro ibxto,i}:ptimo,& (Z‘quenribus lows in infinirum fit fimilircr {criatim procrcmdo , {cu cundos radicum quadrmtos. Scd dcmonihnnduimquo 191{to in fingulis locis qmdruplum ti'innguli', cx rcrtlo rctroi{um loco lumpri , cum lcxcuplo pyramidis qimdratx prr‘ ccdcnris coniunc'Tum , Facit diéh duo fuplcmcnm , fiuc (quodidem til) quod duplum talis rrinngulicum triplo ulis Pyramidis coniunéhim , Emit vnum talc {upp-lcmcn- iuné'ta cum quadrato diéii imparisflcilicct cum noucm,con tum , quod (Vt dié‘tum all) fit ex imparc ipfius loci in latus ftcundi quadmri przrccdcntis : & proindc duo mlia {up- ficiunt 15. gnomoncm, fcilicct ciufdcm loci : qui applica- Plcmcnm coniiinéta cum quadrato diétiimpai'is , compo- rus li-cundo quadrato przdiéio, fcilicct vnitari,c6ffruit iam fecundum quadratum {aquentcm , {cilicct 16. In tertio an. (em loco , impar all 5. quadruplum rtinnguli, vno retro intermiflofumpti, {cilicct vnimtis,efl quatuor. Pyramis pr:- nu nt gnomoné, qui iiinflus CG {ccundo quadrato pmdié‘to cenficitfm quadratum {cqucntfln , imparicj; collateralé. 617 1 3 I .l‘ 5 l 9:11] [3 ccdcns ell 6. cuius fcxcuplum 36. qd cum 4. (ad: 40. qua: {unt duo fupplcmcnta , fcilicct z 0. 56 2.0. qua: fingula fiunt ex imparc diéto,(cilicct 5.in 4. latus {ccundi quadrnti prxcc dcntis,qui cfi 16.5: coniunéla cum quadrato diéli imparis, {Cilia-t cum 2 5.£1ciunt 65. gnomonem tci‘tium: qui céiuné‘tus cf: (ccundo quadrato prxdiéto, {Cilia-t 16.conflatiam {ccudum quadrarum fequétemdciliccr 8 1.111 quarto dcmdc loco, [ '71 9 I I7 to {Radiccs i [7 ilmpnrcs 101,15 [u '28 is 6 l 4+ l 85 [rylzsl ;4+ I489 [670 IPynquidilfciitijal; 4-5 I 55 lijnnguli prim-i 16] 2.5 [;6 I 49 [ 6+ I-Si lloo {Quidi'ariiriimi. i 65 [my-[369 [671]:105:1695[2465liglyjllGiioiiioncsz" V mygfigmwflg-W aw , \ ‘ " Il'll ' 'l |
