. Divers ouvrages . oge-neis ab altéra conftitutis , pcr parabolam, circulum velhypcrbolam folvctur quarftio. Proponatur ad cxemplum inventio duarum mediarumin continua proportione, Sine dux rcfta: B major, D minor, inter quas dua:mcdix proportionales funt invenicndx , fiet 4 cubusy> b\ in d, pofito nempe quod major mediarum ponatur 4^ jEquentur fingula homogenca b in a in e. IIIinc fiet ^q I» ^ in e. Iftinc /7 in f Do h in d. Ideoque quxftio per hypcrbola: &: parabola. interfcc-tionem perficietur. De Resolutione jÎ, q^u a t ionu m. 245Exponatur enim reda quxvis pofitione data OVN inqua dct
. Divers ouvrages . oge-neis ab altéra conftitutis , pcr parabolam, circulum velhypcrbolam folvctur quarftio. Proponatur ad cxemplum inventio duarum mediarumin continua proportione, Sine dux rcfta: B major, D minor, inter quas dua:mcdix proportionales funt invenicndx , fiet 4 cubusy> b\ in d, pofito nempe quod major mediarum ponatur 4^ jEquentur fingula homogenca b in a in e. IIIinc fiet ^q I» ^ in e. Iftinc /7 in f Do h in d. Ideoque quxftio per hypcrbola: &: parabola. interfcc-tionem perficietur. De Resolutione jÎ, q^u a t ionu m. 245Exponatur enim reda quxvis pofitione data OVN inqua dctur punflum O. Sine red:a; datae B &: D interquas duar média: proportionales invcnicnd^e. Ponaturrefta OV arquari .7, & rcda VM ipfi OV ad redos an-gulos arquari e. Ex priori xqualitate, qua^î* arquatur ^in e, conftac pcr pundum O ranquam verticcm, de-icribendam parabolam ciijus rciftum larus fie b , diamcccripfi VM parallela &: appiicaraj ipfi OV ; tranlibit igicurhxc parabola per pundum M. B JD. Ex fecunda arqualitate quâ b in ^ arquatur rfin^, punftum ubilibcc in reâ:a OV , ut N , à quo ex-citetvir perpendicularis NZ, & fiât rcctangulum ONZsquale rcftangulo b in d. Excitetur perpendicularis afymptotos RO, OV defcribenda hvperbola per- Hhij i44 ^^ Resolutione tÈq^uat i o n u m*.punctum Z, ex noftra mcthodo locali dabitur poficio-ne, &; tranfibit per piindum M. Scd parabola eciamquam fuprà defcripfimus datur pofitione, & per idempun6tum M tranfic : datur igitur pundum M pofitivone,à quo fi demitcatur perpendicularis MV, dabitur pun-â:um V, & reda OV major duarum continué proportio-nalium quas quxrimus. Inventa igitiu: funt du^e medix per interfe£tionemparaboix &c hyperbolx. Si ad quadrato-quadrata lubeat quxftionem extcnde-re, omnia ducantur in a, tune a^li a:quabitur hl m din a. ^quentur fîngula homogenea juxta fupcriorem mc-thodum ^ 1 in e s. Fient du^e a:qualitates, nempc al &c i> in e. Et d ïn a Se el. Qiix fingula
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Keywords: ., bookcentury1600, bookdecade1690, bookpublish, booksubjectgeometry
