Pagina:Principia newton la.djvu/294

calcaneo Persei (Bayero o) B stellam sequentem in sinistro pede (Bayero ζ) & C, D, E, F, G, H, I, K, L, M, N stellas alias minores in eodem pede. Sintque P, Q, R, S, T loca Cometæ in observationibus supra descriptis: & existente distantiâ AB partium 80${\tfrac {7}{12}}$, erat AC partium 52${\tfrac {1}{4}}$, BC 58${\tfrac {5}{6}}$, AD 57${\tfrac {5}{12}}$, BD 82${\tfrac {6}{11}}$, CD 23${\tfrac {2}{3}}$, AE 29${\tfrac {4}{7}}$, CE 57${\tfrac {1}{2}}$, DE 49${\tfrac {11}{12}}$, AK 38${\tfrac {2}{3}}$, BK 43, CK 31${\tfrac {5}{9}}$, FK 29, FB 23, FC 36${\tfrac {1}{4}}$, AH 18${\tfrac {6}{7}}$, DH 53${\tfrac {5}{11}}$, BN 46${\tfrac {5}{12}}$, CN 31${\tfrac {1}{3}}$, BL 45${\tfrac {5}{12}}$, NL 31${\tfrac {5}{7}}$. LM erat ad LB ut 2 ad 9 & producta transibat per stellam H. His determinabantur positiones fixarum inter se.

Die Veneris Feb. 25. St. vet. Hor. 8${\tfrac {1}{2}}$ P.M. Cometæ in p existentis distantia à stella E erat major quàm ${\tfrac {3}{13}}$ AE, minor quàm ${\tfrac {1}{5}}$AE, adeoque æqualis ${\tfrac {3}{14}}$AE proximè; & angulus ApE nonnihil obtusus erat, sed fere rectus. Nempe si demitteretur ad pE perpendiculum ab A, distantia Cometæ à perpendiculo illo erat ${\tfrac {1}{5}}$pE.

Eadem nocte, horâ 9${\tfrac {1}{2}}$, Cometæ in P existentis distantia à stella E erat major quàm ${\tfrac {1}{4{\tfrac {1}{2}}}}$AE, minor quàm ${\tfrac {1}{5{\tfrac {1}{4}}}}$AE, adeoque æqualis ${\tfrac {1}{4{\tfrac {7}{8}}}}$AE, seu ${\tfrac {8}{39}}$AE quamproximè. A perpendiculo autem à Stella A ad rectam PE demisso distantia Cometæ erat ${\tfrac {4}{5}}$PE.

Die ♂^tis, Mart. 1, hor. 11. P.M. Cometa in R existens, stellis K & C accuratè interjacebat, & rectæ CRK pars CR paulo major erat quàm ${\tfrac {1}{3}}$CK, & paulo minor quam ${\tfrac {1}{3}}$CK+${\tfrac {1}{8}}$CR, adeoque æqualis ${\tfrac {1}{3}}$CK+${\tfrac {1}{16}}$CR seu ${\tfrac {16}{45}}$CK.