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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 81

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.

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The machine reads it as

  1. PR OF. 33.
  2. De Sectionibus Conicis.
  3. Docacur recta aA = - 1, _ C in ejuldem concinvatione) AII
  4. d: Acg; ad rectam A EI ponaneur (ad opBoticas parteS) dux
  5. rectae inricem parallelae; AS -L, _HB-- d. Talcem canca lIME
  6. longicudinis AS, HB, uC EC AS a HB- 1d;) Sicq; angulus SAH
  7. =aHB quisibec acucus, (modo major lic complemento ap-
  8. euli inclinacionis in Hyperbola expolira.) Juncta vero aSpro-
  9. ducacuE nE cum recta B H producta cocac in S; d juneta BA
  10. producacurve occurrac ipsi aS in V; ue compleatur crianou-
  11. lum VBS; quod eAo Triangulum ver. axem in COno contru-
  12. endo.
  13. Deinde rectis AH, BES, duo pIanA ItA CrIGANEUE, RE COM-
  14. munis eorum sectio HO, Faciac ad rectam HB angulos rectos,
  15. ad rectam rero AH angulum AHO agualem angulo inclina-
  16. cionis in Hyperbola provotica.
  17. Hoc enim ommino heri posse constre: Si enim recta quali-
  18. bec HO perpendicalaricer intictens plano Trianguli VBS (2-
  19. deog; angulos faciens verolq. OHA, OHB, rectos) circum-
  20. volratur circa rectam BHS uc axem (invariaro anculo
  21. OAB) donec ad sicum plani perveniac in Ha, Faciacq: in plano
  22. crianguli anculum oHla acucum, qui minoc eric angulo incli-
  23. nacionis in Hyp. rbola, CeAt enim, ex constructione, angulue
  24. AHB istius inclinacionis complemento majori) neceste cR C
  25. nim uc, in crensieu, aliguando fecerie angulum inclinationie.
  26. anculo aqualem; (factus enim est cranticus ab anpulo recto,
  27. adeoq; debico majori, vel lalcem aquali, ad angulum debito
  28. MInOTEM;) adcoq; cunc tuerie in licu debito uc sic ducrum
  29. Planorum provt reguiritur concurrencium communis lectio.
  30. In plano rucem BOS sic posito scribi incelligatur circulus,
  31. diamecrum habens BHS, qui sc batis conis aliiq; tuic paraI-
  32. leli diamecros hrabenteo BDS, conum complentes, (per prop.
  33. 5.) qui plano AHO Ecctus exhibebic Ayperbolam (per PrOP.
  34. 7.) cujuo Ordinarim apelicaEx omnes (quarum HO cAuna)
  35. ad diameerum AH aneulum Faciene equalem angulo inclin-
  36. cionis ordinacim applicatarum in Experbola expoliea ad dia-
  37. erum suam; sed e cildem lune respectire xquales (ue paccbit
  38. ex demonstracione prop. 17, _ 30.) ideoqi lineuta linculis
  39. congruune, adeoq; & Hyperbola expolica Hyperbolx scctione
  40. conitactae. Quod crac taciendum. Adeoqi Hyperbola a nobis
  41. detanica

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 81. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0165?run=74