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pundo H;& proje&ile fecandumred&tam A H emiffum incidetin pundum K. Q.E.I. Nam pund&um H, ob datam longitudinemAH, locaturalicubi in eireulo defcripto.— AgaturC H-occurrensipfis 4K& KF, illiin.C,-huicin F,_& ob,.parallelas CH, MX& zquales AC, AT, erit AE xqualis AM,& propterea etiamgqualis KN.. Sed.CE eftad A4E utF Had K N,&propterea CE& FH zquantur.. Incidit ergo pundum H in_HyperbolamAfymptotis 4 K, K F deferiptam, cujus conjugata tranlit perpundum C, atq adeo reperitur in communiinterfedtione Hyper-bolz hujus& circuli deferipti. Q. E. D. Notandum eft autemquod hxc operatio'perinde fe habet, five re&ta AK N horizontiparallela fit, five ad horizontem in angulo quovis inclinata:quodq; ex duabus interfectionibus H, H duo prodeunt anguliNAH, NAH, quorum minor eligendus eft;& quodin Praxi me-chanica fufficit circulum femel deferibere, deinde regulam intermi-natam C H itaapplicare ad puncum:C, ut ejus pars FH, circulo 8redtz F K interjeCta;zqualis fit ejus partı CE inter pun&um€& redtam HK fite.

Quz de Hyperbolis di&a funt facile applicantur ad Parabolas.Nam fi X4G K Parabolam defignet quam re&ta XV tangat invertice X, fintq; ordinatim ap-

. plicatz 7 4, VG ut quzlibet abfeif-farum XI; XV dignitates XI x,X Va; agantur X T, TG, HA,quarum X T parallela fit VG,& TG,H A parabolam tangantinG& A: 8& corpus de loco quo-vis 4, fecundum re&am AH pro- -" duCtam, Jufta cum velocitate pro-Jectum, deferibet hanc Parabolam,{imodo denfitas Medij, in locisfingulis G, fit reciproce ut tangensG T. Velocitas autem in G ca erit quacum Projedtile pergeret,Mm in