Philosophiae naturalis principia mathematica . 4^2), ^yC, denfitates AH, DLyGOy femper exiftentes continue proportionales, manebunt etiam-num continue proportionales. ^ E. 2). Corel. Hinc fi detur denfitast]Ey colligi potefl: ejus denfitasm alio quovis loco ^ Centro4^, Afymptotis reftangulis S^SXy defcribatur Hyperbola fe-cans perpendicula A H, E M,^Tin a,e,t^, ut & perpendicu-WHX, MT, r^,adAfympto-ton SX demifiTa , in h, m h area ZTmtZ ad aream da-tam TmhXvX area data Eeq^ad aream datam EeaA; & li-nea Zt produda abfcindet line-am ^^ denfitati proportiona-lem. Namquefi lineas SA, SE, »y
Philosophiae naturalis principia mathematica . 4^2), ^yC, denfitates AH, DLyGOy femper exiftentes continue proportionales, manebunt etiam-num continue proportionales. ^ E. 2). Corel. Hinc fi detur denfitast]Ey colligi potefl: ejus denfitasm alio quovis loco ^ Centro4^, Afymptotis reftangulis S^SXy defcribatur Hyperbola fe-cans perpendicula A H, E M,^Tin a,e,t^, ut & perpendicu-WHX, MT, r^,adAfympto-ton SX demifiTa , in h, m h area ZTmtZ ad aream da-tam TmhXvX area data Eeq^ad aream datam EeaA; & li-nea Zt produda abfcindet line-am ^^ denfitati proportiona-lem. Namquefi lineas SA, SE, »y^funt continue proportionales,erunt areae Eeq^, ^^^y^aequales, & inde arese his proportiona-les TmtZ, XhmTQX.\zm aequales, & line« ^X,^r,.yZ,idefl^i/,EM, ^T continue proportionales, ut oportet. Et fi lineae SAySE, ^y^ obtinent alium quemvis ordinem in ferie continue propor-tionalium, linese AH, EM, ^T, ob proportionales areas Hyper-bolicas, obtinebunt eundem ordinem in alia ferie quantitatum con-tinue proportionalium. PROFO-. PRINGIPIA XXII. THEOREMA XVII. ^, SE diftantias inprogreffione Geometrica. Erigantur perpendicula jiH, BI, CK,&c. quae fmt ut^Fluidi denfitates in locis yf,5,C,2),£^, &c. & ipfms LlBER !.
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