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Show 34 LIB'ER PRIMVS, PARS 11. ARITHMETICOR‘VM - PR09051110' 69‘. 0mm pentagonm centralzJ: conflmimr ex pentagono primi genem coZA'zztemli,c/y ex pmccdenti qlmdnzto. Excmpli gratia, pcnmgonus quintus comm-311's 51 .confh-uitur cx duobus for- quartis hmul conflabuur hcpmgonum quintum : (11103 65?: propofimm.Similitcr in alijs logis confirmarur propofitum. . mis primi gcncrisfcilicet pentagono quinro 5 5.8; quadrato quintus primi gsncris cont‘uuitur cx quadrato quinto 5; triangulo quarro.Er per pm:ccdc11tcm,qundratus quintus cum quadrato quarto ficiunt quadratum ccntralé quintfi.ngrc, pen to genus quintus cum qlmcirato 4° primi generis valebut quad 12.111111 5" centralcm ca triangulo quarto primigcncris. Vcrum per dilfinitioncmfiFquintus centralis cum trifigulo 4‘1 procrcu pégagonum quintum centralcmfirgo pétagouus 5"c1rntmiis argualc‘nit pémgon C: quiutu 86 D" 4" primi genecriszqd {nit delnonih‘idfi. (111:: dcméi‘tmtio, fic11t5°im cuili‘octlppofitoloco accémodabitur ad Cofirmfidfi propofitfi. P11011051 '110 70". Ommk bemganrw CE'L‘VJZI‘J conflamr M for 'r primi gcnerzk, fri/icct 126111130710 callamu/i' 29" quaa'mto pmccdcnti. ch pr0~ pofirio eadem eff cum 32" .Scd hicin ordinc centraliu alitc; dcumufirabitur. Dico igitur,q-, Ilzxagonus centralis quintus IO fcilicct 61. céfiaturcvx quinto hcxagono primi generis.fi45. «X'quuarco 16. 45 351 1 6---_j Qupd quiu'Ts in 3 2a huius fucrit demon- I fimndum,tfi & hic aliccr céfiubitficPcr diflinitioncm,hcxa- genus 59171‘1'1111'gcucris conf'rat ex A") 4" & pcumgono quinto Primizé': pct prxccdcntcm.pétagonus 59 talis cum quadrato 4° primi , componunt penrugouum ccntmlcm 5". (Luarc, 61{ 10» Hchgonus 59 11112111 cum 1:1" 4° xquiunlchunt triangulum 4" cum pcutogono ccutrali quinto. VL-1L‘1m,pcr difli11.pémgo nus ccutmiis 50611111 A" 4" confiituir hexagonum centralcm 5" .15th hemgonus centralis 59mquiunlfibithexagOnum 5‘1 cum D" 45' pi gcucriszquod cmt demonf'cmndu 111.12: fimilitcr pro alus locis argumémtio proccdatad pcludédu propofitfi. PROP osxTxo 713. Omniybepmgonm conflntw‘ (xzrébm fair/113$ primigenerzk‘, frificel‘bcmfgono tctazgcnfro col/atcruz'i, (It/[1'56 qzmdratn (9" tri- urzguZ0,pmcc.rz'€iz:zbm. Excmfli gr.1tia,hcpmgonus 5971.con- PROPOSITIO ?aterazg. Excph gratia, 59 oétogonus 6118141 quidcm D" d} Imparls 5i,hoc aft nouenanj. Nammer diflimtioné, 590610gonus pih‘uitur 5x 4‘.‘ Al°primi gancris o&11plicato,& ex vni- Fate.5§d,pcr 53," h111us,rglc oétuplfi cu vnimtc CR quadratus 11111321115 51' Igmlr mhs CI" cft ipfc oftogonus 59.q110dc[‘t propourum. . Non alitcx‘ pro Coetcris in infinitum locis conflnt propofiulm. PROPOSLTLO 74". Omnw fqz‘ma centralis plum £072}?th ox vizémfl? (7v ex radécc pmcezfmn m numerum Intcmm dufiuz,@ ex Abrda'ircm pmce- demc mv tandem numerfl dufio. Exépligfn,l1eanon113 CErraIis 5961.c6fl:at ex vnimrc,ex {excuplo 1';1d1'CiS A," .1119 cf} 24.. 8: FX fexcuplo A" rcrti} 6.hocefi 36.11) liquido CSI‘tatrpcr diffin. lpilus hlzxagonizficutin 26" fiut olféfum.Nam diél'a duo {ex1. , 1 1‘, . . 4 , . . I cupln [haunt {Lx A '9 4.qu11 cum vmmte compaqmat lpium 61 24 hemgonfi. Simifi‘ in A!" cérmlivp fexcuphs accipc tripladn [1‘0 cctrali,quadrupln;in yémgouoquincuplazin heptavono {eptugluzin oQogono 061v. pln jplhR; radicu przeccdédfim 8:, 56 3550 Alfaan prx‘cca‘éufi \‘t m 01' Propolho loco pdudas fpuoiitfi. Vn,q; 1.6; at hexagoumprxicus dc of piano cétmli‘ cé‘cludir. PLANXPRIMIGENERIS. I'LANICEV'I‘RAIES l i 1 l 9 7w I25 I I I 1 1 "41),: f 71 j 81 9 J_9GI.J IoGAF 2-1 64 136 I 64.] 92.1120] flatur ex primx genu‘is he; one (juinto 4 squadmto quarto _,-l,:r_5_l_8_'_l I ' 7 1,1,5 21,} 16.8: triangulo 4° .10. ]\l;‘.m,n.\ ({Jfiinizicnc, ipfc 59 hcpmgonus conflpt ex 5011cxagono 031111321 8; ex 4" tl‘ianqulo : . ) . . ‘1'. 1 T 5631 per plxccdcntcm , 11,11. hcxagonus acquumlct qu 111mm mdiccsi Alil D" {O 11.[ 3:1": ~_.__ hexa- 72". Omlr'm' ofiog'ony efi gqmzl/d qnyzzlrato imparz'a' numcri {7111' vol- cwucxm-pwlN- quarto 15. (bod {1C confmt . Perdifiinition. Pcntagonus 35 hexagonum primi generis, &. quadratum quartum . Igitur hexagonus qumtus primi generis cum quadrato & triikoul') 1911120"! X42120 i 1 , 35 [107611527 il4‘Sm'V-VIT9 [ 85[115j_141_l_1ifl(;:'hz_§ W9 3‘45 J'IS'JZJLIEEF I 52?, 5:81: L219! 2w H I s GI I an; a" 101*!!05 $9. Y z. Duo" |