| OCR Text |
Show 272 lag ,fP-x}. DE LINEIS HORARIIS REGVLA 3" . Exponaturirem hyperbolcm c.abfquc diametris EIBER TERTIVS7.7; fiuc ordimtas g m. h n. k 0. c C. fingulms ipfis a i. a y. a z. a w. fizigulis & ccntro. volo cius ccnrrum inucuirc. per tcrtiam Regulam ante- aequalcs. Er pct pum‘h a mu 0 c. ducam molli flcxu ac iuxta fignn« prmmifli capiti, dllCfim in llypt‘rbola m c. duas diametros rm. d c. torum punc'lorum tcnorcm curmmm pcrifieriam , qua: crit ipliu: qua: produflec lc iuuiccm {cccnrin punito s.crit('l; s. hyperbolcs inn dclincandae circumferentia , co quidcm ccrtior , quo crcbriom punch cxhi‘oucrir in principio {1&1 diuilio . Er limilitcr, it centrum liypcrlnolesJicutin 4,5" fecundi docct Apol. lonius. Nam cum parabole centri expcrs lit habcns di.1mctr05 xquidilbnrcs. Eliipfis intra perifi'rim rimbitum : hyperbole vcro extra ccntrum lbrtitur. Per illud cnim inccdcntcs diamctri ordinatas [innulas ct medium partiuntur. a P VREGVLi-l 4" . Eflo & hyperbole m c. iubcor eius ax1m rcpcrlrc. lnucniam primo, cx prasmilli Regula, c1115 ccntrum : quod {it s. fiipcr quod dcfcri. bnm Circulum , qui feccr perifcriam hyperbolcm in duobus plinélis m r. Er ducam chordam m roux [ccftur per :rqualia in punch d. Sic cnim s d‘ rcéla, {ccus tolcm chordam orthogonalitcr ac pct medium, crit nus liypcrlvolcs m apex: 475 iccundi conicorum. R E cv 12A 5" . El‘to dcniquc hyperbolcs Cuiul‘niam {mower-[1 diamctros a b. Rafts. vcro af. V010 dclmcare hyperbolcn talcm. Capiam cy axejiue diniiictro partem , vtpum a c" cui in rectum apPuco iplam a £5it<juc,pcr 5" Regulam (excl ca. 1n prsemiilo libro fiiCut b a. "a f. QC :1 c *-- fx. Punchs g h k c. protenlis vltcrius mqualibus fpacijs, linca'oo rcli~ quum pcrilErix. Cuius operationis dcmonflmtio cit, quod in (cmi‘ circulis,lmcm a i. :1 y. a z. rm. lingulm pollimt rcc'hngula, qux in dcfcriptionc hygcrbolcs Pollunt iPiic g 1T}.l1_ll.k 0.6 cfmgulx ordinamz: qunrum quidcmvnaqumquc porcfl: rcéhngulam fliptrficicm rub rc- cepta ex di-unctro ad Verticcm & ad rcftzun of. cxccdcntem {peck fimili {pccici liib b a f'. diametris contentrc . wanbl'Cl‘n , pct 12.. primi conicorum, delirium pcrif‘cril a m n o c.critl1ypcrbolc, cuius diamctcr trrmi‘ucrlil b surcfla vcro fl E quod Fuir Eicicndum. Co R0 L. lec manifcllum cl}, quod in dclincationc hyperbolcs , lEmicirculi, qr1iabfc.ndunt ordinamsuninimi- c contingunr, ctlnbcnt diuzrflx centra: qumdo diametri tranlucrfit ct rcéh funt iuxqunlcs. Conccn- trici vcro, fun: femicirculi, quando dic'tie diametri flint :cqualcs . COROLL. Et hinc fumis ulium modum lincgndi hyperbolcn , aut c0ntrapolit15.Nam poltquam dclincaucro liypcrbolcn c in max dalis cius diamcn-is b :m F. iic & eius contrapofimm,cuiuspcrifcria tranfit per punchim b. dclincabo : Haber-it cnim contra-pours: hyperboltc communcs dinmctros: commune ccntrumquod tranlucrfam diamotrum xbycr iircdium diuidir:& Periods fun: limilcs 8c zq ualcs. lec, ill);1.:1 2.1'ucrintss unlcs, erunr &. a F. PX. :equal‘cs muicem. Er continulbo in reclum ipli a f.iplam Fx. D;=i11dc1ccnbo in aliquot parts 2-: 96 Mngmtiémwtqmfimmiéw conic»; fic‘iimm Eagles ipCim i1 6. vr puta quaruor in. puné‘tis <7 h 1:02: Efff‘ldm-l poiiziaripfam {loin punc‘lis 5 tall. deficiiigusggiffw _u.h‘r..g s.dmmcrros fingulas > i \ 3.1 05: lCnllCll‘CnlOS c a) z.l{ z u. h y 3.315. 8: a punélo a. cxcirabo ipli ex. nerpcn' icularcmfccantcm pcrifcrias in puncotisL (a z yi. In diamc tro nuté hypboles 2‘1 punch: k h k c. educam diametro 19,4 WW" fiuc, 3 (32p. 4.. MN 1 s rcéh linca tangens conicam fcfcioncm apud eirtrcmum omnis lin'ca ad O diamctriprc inata cllc id talcm dininctrum . Er i mngi: cxtrcmum diamcrri ordinaté applicant apud dié‘tum extrcmi‘ {caioné {cationcmha'c all 17" primi conicorum.l LOIS lincn tingéti coincid1tlfclincx xquidifians per puné‘tum intro feéh'oncm, vtrinq3 hyperborcn, é‘cioni.18‘1 primi. III.Omnis linm mngés Parabolcn,aut . m intra . cllipfi tangés linen. is ILOmn I I coincide: diametro. 7. 4." primi. . .dmmctros mtcl . riini . 251.p tro dinmc vrriq; idet coinc rros, duas diamc ui- umgq tror dmmc vmus mo lige coniugatas.Qu§d (i tangnt in extrc ra; ad illam diametrum. V. diflans erit rcliqur diamcrro, quia ordina olesf in viio Omnis linen zquidil‘tans diametro Paraboles, aut hyperb s lmcrie: Om.ni L V imi. zéipr lioni. detléc mnu‘im punéro coinci 2.7‘l primi. -mns dmmctrum Parabolx , vtrinquc coincide: fcélsiom. VII. |
