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Show -'**'<\ warm-Em WW .3; . _. DE LINEIS HORARIIS Diameter igitut erit g h.quonia1n trnnfit pet z.c6ttfi feétionisz8c Céiugata ipfi diametro .1 d.quoniam eius zquidifiantcm b C. per medium, Sc perinde teliquas {ecabig modb recite formata (it. Et [1 data diamctms filcl'it axis feétioniszaxis erit 8: céiugam: & £18m: tfic fefiioncs ad angulos reétos. Sicut auté diameter g h. fecat diametrfi a d. ciufq; parallelos fingulas per medifizlta & a d.d1am.ipfam g h.dinm.ciusc'1; equidiflzi‘ tes 9 acqutllia partirur,ficut in 1551)i conicoly ofidit‘. R123" . Sitdeinde hyperbole a b.cuius diametto a d. centrum z. V010 ipfi ad. diametro Couiugatam dm metrum duccrc.Duc§ primo ipfi a d.diamctro acqui- dil'tantem b c. qua per 5‘ Concl. prmmifli capiti co- incidet fingulis contrapoficis hyperbolis ad lingula p11110:a.Coincidat ipfi quidem a b. hyperbole ad punflum b. contrapofita: autcm c d. ad punétum C. Deindc {ccabo ipl‘am l) c. per :cquulia in punClso F. Seducam e F. qu: crit coniugam diameter ipfi a d. diametro :quandoquidem {scat cam , eiultwe p.1- tallelum b c. per medium in punéh's e F. ficut in 161 primi conicogz oficnditurlfit Ii :1 d.nxis {merit {E6110num:& efiaxis crit {ecfidus,& fcélioncs linearfi ficnt ad angulos refitos. Er licut e fifecat iplhm a cl.cius(1uo Parallclos per xqualia : im & a d. ipfam e F. eiusquc parallelos intm l‘cé‘tionfi perifcrins per'mcdium partitur. Nunc veniam ad mngcn tc-s . R EG v L A 4‘ . Propomtur fcé‘tio conic: :1g.& in cius perifcria pun6th a. Volo Iineam reéhim dLlCcre, quae fedioncm a g. tangat in punclo a. Ducam per punaum adiamct‘rfi le€tionis,quze lit a cl. [it per przmillhs rcgulas ipfi a (l. coniugnmm diamelrum g1}. {ecanms le in z. p6&0,pro ellipli & llyperlzolatpro paraltola vcré gh metrum a d.Dcinde per punaum mducam ipli q hmquidiflitem a k. Igitur a k.ordimta erlt ad diametrfi a d.& idco Pct p4 COHCll,:llOnClll graceécutisganget(Eétionéin puCto a.quocl cmt Facienclum.R t G. 5‘. ed qm 1n parabola non datur lylndcfcri'nendi otdinamm ad datum dlfimc‘l‘um : qubd in alijs {Eé‘tionibus fitpet coniuggntas dinmctws: vtemur alto mod0.Sit Paralfiola a g.cuius diameter 1 u'. Volo lint-am dllCCl‘quU-‘e in leéto g. tangur parabolum . Penman primum .1 cl. 3X13 5 56 dqutur ipli ad rec'los linca g d. qux erit ordinutu ad :uem. ptoducatur Vltm verticcm axis , Pomturcjucipli d.1.;tqu.1;is n. e. 85 ducatut LIBER TERT'IVS.‘ ' L79 ducxtur ree'h c g.quc per 125 conclufionéprrgmiflimngct in >131» gpamboliquod fiiit ficicm'lum 11:50.6" . Ptopomtut 8: P .2; bolt: 1 g. Cuius diameter (luxlilxet c :1 d. V010 pct Punétum aliquod pci‘iferix thotc g.ducetc ordimmm ad diamcttfi a d. Per prxmill‘amReguinm, ducam linenm a x qum tangat feé‘ti‘zoncm in iplb mextremo diametro.Deinde pet datum pfiétum g.L‘lUC01TI ipli a x.t5gcnti mquidifbntem d g. qua: per prima céclufim , nem pmmiflifitit ordinata ad diametrfi a d'. R 1-: arr. Si igitur per dam": punétfi g.tangent€ in Parabol'a del‘criberc iubeat: ducam diamc ttum quamlibet e .1 (L66 per Punétum got: dinatam ad talc-m diametrum ex prxmilla \ a, '9 69 3‘s" . Regulis‘ :t e. N1m,vt antes Regula-flux fit g d.deinde filciam ipfi d azqualcm per 12" c.0ncl.di&am. Per axem,c glanget {ellionem in punéh) gdata quodpmm e. V0101} punétum REG. 8. Detur 86 extra parabolcn :1 g. per punftu g.tangat.Agam :1 parabolcn unéto clincam ducc1‘e,quae dmmeter {1: ea (1.85 poadiametrum zquidilhntem {cilicet axi.quz ordmatam 2d d. ducam rmm ipfi e a. xqunlcm 3 cl. 8: per punélum Regulnm.N'am lie :lutcprxmilfim g.per d lit (Lqux a a Ll dirtmctmm 2"" concl. quod eratfaeiemlu. reé‘ta c glanget fec'tioné in Efic'lo gper vel hyperbole : ems diag.cllipfis a {cfiio conica R 55.9.Sit ptxtetca a 4,-9.3? dia- natam ad mctcr a d.volo Pet Punthlm g. duccre otdi illhnu, 3* Regulam pixin meters. d. Ducam per 25 vel etrum e f. Dcmdc pet diam am ugat coni r mete ipfi a ddia quxdfitmuem g d quze Puné‘tum gdatum ducnm ipfi efiz orduum ad ipfam um, coi‘ coni i Prim exigpct 155 V6116" extra 1pfam lxs a g b.& a d.diamettum. REG. 1 Cliff!) Elllp cere lincam, qua: tar}e.du éto plin h data pumflum c.Volo um,Perq; z.elllplis iné‘t e.p1, gut Efili pfim a gb.Ducam per metcr ellipfim 1n punch: a b.dm cfttum lineamfluz fecct , faciam ficut b e --n c1‘a. fic b Dein b. a igitur ctit fefi‘ionis prxcedentcm BL‘ , meam (fwd a.& pet pfiétum d.duca,9 Nam fic,11nen e ginger b. a dinmetrum nd d gord mamm . CCd-Cflp. REG. 1 I .1 . -. ‘ PlfC ‘ puéto gpcr Vlt.?Ll. crifcriam m {1anme cnuodf) puncrtuin eddntum Similiter faciam pro hyperbol S'liaénm FEE POI nu e. étu pun m per ma l‘e‘c‘tionis 8:perifcnf1.fccus eni '. um‘ lwldc po tim equcs problemmcfl'e mnqensl‘efiionem.&per conf mopo: (Lgt litb or mai p {em c-c a.& cniin lit Gout bdfld mfic i5 1) es.! cnt N0" mng (‘0‘, a s circ 4- r ‘ " C (1. L ammo: A K ,(1 U31 ' t vt m. '7 {Ctz "" ' s Et hxc lint {ati |