Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 31

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

1. L L. G
2. ex semicirenli.
3. Accamen, C contra, E Fsurae dux ica sine consticura, uc in il
4. lis rectae omnes limiliter Posrae, sinc (respectire Tumpta) pro-
5. Porcionales, quomodocunq; ducantur; eorum lacera e ansis
6. los omnes similicer polica esse, quis dubitarer: Nisi enim simi
7. lis eser linearum inter (e (Icus acq; curratura (sed in hac an
8. culi acuriores, et major Hexuum curvatura, in illa lecus) im-
9. Doslibile cAt, ut inscripea in una tigura, proxortionales sine simi-
10. licer Inleripiis in rcliqua: uc per se videtur Caeis manifectum
11. viro Machemarico. AC vero in lemicirculis omnibus, (aut exi-
12. am Cermeneis aliis quibulcunq; similibus, rectae similicer in
13. Ceripx lunc inter le proporcionales; e quidem, proporciona-
14. lium Cubcentarum, Timileo arcus iune etiam peODOrEIONR
15. les; uc Machemacicis omnibus es nocistimam: Ideoq; ec similes
16. in omnibus curraturas, E angulos aquales, videcur omniro
17. dicendum esfe.
18. Non ignoro quidem Euclidem alicer sigerras similes rectili
19. neas, alicer similia circulorum sermenca detinivisse. Nempe
20. Similes fieurae rectilineae definiuntur, quae aneulos sixillatim aquales ha-
21. beni, es lalera quae circa agnales aneulos proporrionalia. 1 d6. Similia
22. vero circalorum seementa dehinie, non quidem ex aqualitace anou-
23. lorum quos habent. Ccd gnos capium: 20 d 3. Non quas similium
24. seementorum anguli essene inaquales; sed quonium, ubi poltea
25. de Similicudine scgmeneorum axendum ettet, Facilius eset
26. quancicatem ansuli in Cegmiento, quam anguli lcxmenei, de-
27. monstrare.
28. Ec quidem certissimum eRt; Euelidem ea nemieu definicieni-
29. bus interere, non semper qux reinacuram incimius spectent, led
30. quae sccucuris demonstracionibus melius subserriane, Exsempli
31. gracia. In ulc. deF. Primi, definiinr Parallelilmus rectarum, ex
32. non concurrentia, quamvis infinite mrinq. producantur; quod quidem
33. in lincis rectis eiusd n. plani, Cac infallibile cA cricerium paral.
34. lelilmi: hoc aurem nernecor prae aliis sclesit, uccomeliiis in-
35. Terriret ca detinirio ciemenstentioni Frop. 27 cr ubi primode
36. Parallelismo agendum: cRcc. AC interim nemo dubitare pote
37. ric, quin equalis ulique ab irvicem distantia intimius spectet paral-
38. lelismi nacuram, licec ivlius propolico nimis Forcasse conveni-
39. rec. Nam cercissimum cA, mulca non. concurrentia non camen elle
40. parallela, uc liquee ex rectienon in eodem plano, item ex cir-
41. culis qui ica duci poltunc, urneq; sine ccnconirici, neqi camen Ce
42. mucue

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0051?run=74