Philosophiae naturalis principia mathematica . um diftantix verticis illim ab nmbilico ftgurx. Patet ex Conick Lemma XIV. Ferpendiculumqnod ab umbilico FaraboU ad tangeniem ejm demit-titnr, medium eft proportionale inter diftantias nmbihci a punBoconiaSius eft S Nq. ut P S. Corol. 3. Et coticurfus tangentis cujufvis PMcum rech SNqux ab umbilico in ipfam perpendicularis eft, incidit in reclamANy quae Parabolam tangitinvertice principali. Prop. Z M Fs*J Prop. XIII. Prob. VIII. Moveatur corpm inperimetro ParaboU: requiritur Lex vis centripe- t& tendentis acl umbilicum hujus jigur<e. Mancat con
Philosophiae naturalis principia mathematica . um diftantix verticis illim ab nmbilico ftgurx. Patet ex Conick Lemma XIV. Ferpendiculumqnod ab umbilico FaraboU ad tangeniem ejm demit-titnr, medium eft proportionale inter diftantias nmbihci a punBoconiaSius eft S Nq. ut P S. Corol. 3. Et coticurfus tangentis cujufvis PMcum rech SNqux ab umbilico in ipfam perpendicularis eft, incidit in reclamANy quae Parabolam tangitinvertice principali. Prop. Z M Fs*J Prop. XIII. Prob. VIII. Moveatur corpm inperimetro ParaboU: requiritur Lex vis centripe- t& tendentis acl umbilicum hujus jigur<e. Mancat conftruclio Lemmatis,iitq; Pcorpusin perimetro Para-bola*, & a Ioeo Qjn quem corpus proxirne movetur, age ipli S PParallelamQK &perpendicularem<9T, necnon^^ tangentipa-rallelam & occurentem tum diametro TPG in^, tum diftantiseSP in x. Jam ob fimilia triangula Px^, MS P & aequalia uniuslateraSM, SP, aequalia funt alterius latera Px feu QK &lP<, ex Conicis, quadratum ordinatae Qjv a:quale eft re&angulofub laterereclo&fegmentodiametri P^, id eft ( per )re&angulo 4 P£x Pv feu^PSx Q_K; & pun&is P& 2_coeun-tibus, ratio Qjc ( per Lem. 8. ) fit xqualitatis. ErgoQxq. eo incaiu, aequale yeft re&angu-lo ^ Eft au-teni ( ob x-quales angu-los Qjc T, MPS, ?M0 )Qxq. ad Q7f. ut ?Sq. ad SNq. hoc eft ( per Corol. I. Lem. X IV. ) ut P S adAS, id eft ut 4P^x£R ad /^ASxQJL
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