. Bericht über die zur Bekanntmachung geeigneten Verhandlungen der der Wissenschaften zu Berlin. genealogy. 357 Si eadem ordinata / per quandam quaniitatcm * multiplicetur, et postea per eandem x + cognita sive constante b, erit differentia summarum produclorum aequalis cylindro figurae: utz/„— zy-^-by n by. Hoc ctsi per se manifeste pateat in genere, applicaliones tarnen non semper manifestae. Sit v. g. id est tem pro - Fl y, multiplicando per \'ax-^-b fiet — b 2 yax — b (D) i quoniam au- fax -+- b, Va. (O) et multiplicando per Vax — b fiet -j= vw' yax -}- b fieri potes
. Bericht über die zur Bekanntmachung geeigneten Verhandlungen der der Wissenschaften zu Berlin. genealogy. 357 Si eadem ordinata / per quandam quaniitatcm * multiplicetur, et postea per eandem x + cognita sive constante b, erit differentia summarum produclorum aequalis cylindro figurae: utz/„— zy-^-by n by. Hoc ctsi per se manifeste pateat in genere, applicaliones tarnen non semper manifestae. Sit v. g. id est tem pro - Fl y, multiplicando per \'ax-^-b fiet — b 2 yax — b (D) i quoniam au- fax -+- b, Va. (O) et multiplicando per Vax — b fiet -j= vw' yax -}- b fieri potestx -f- —, quae pendet ex quadra- — b"1 * ' ax — 6' tura hyperbolae, itaquc una ex his duabus data ]) et ©, dabitiir et altera, supposita hyperbolae Suppone curvae cuidam in aliquo piano positae BCDE in (in,o ei aliler) punctis C, D, E imponi alterius curvae jFGZfordiiiatas perpendicu- Iariter ad planum, et ita ut medium ordinatae punctum incidat in planum, patet ipsas LC, MD, NE, ductas in FL, GM, UN, id est in C, D, E impositas curvae BCDE seu rectangulum FLC, GMD, HNE, sive ductum borum diiorum planorum in se invicem aequari momento omnium LC, MD, NE etc. Unde si PR sit alius axis et intervallum a QL recta PQ, momenlum ex PR differet a momento ex QL cylindro ipsarum LC, MD etc. in PQ. Quod si iam tum ex recta PO, tum alias ex alia recta, ut TS, alind haberetur momentum eiusilcni figurae ordinatarum LF'm C impositarum, tunc baberetur etiam cylinder omnium LF, quodprobo: quia appcllando QZ} x; 6*. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Königlich Preussische Akademie der Wissenschaften zu Berlin.
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Keywords: ., 1851, bookcentury1800, bookdecade1850, booksubjectge, bookyear1851
