Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 87

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: 0.85.

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The machine reads it as

  1. PROP. 36.
  2. DeSectionibus Coneis.
  3. quanticas a, adeoq: _ iphus mulciplicia idas 12 a, s: 4) eric
  4. 3fu T2fu- f 1+25 d. FCC dividendo per 2f) 1d t u = = 11 t) d:
  5. (hoc CA D AHa =HC HF;) vel 21 F d 1+ d:: d. f -
  6. Hoc eA HC. Ha:: HA. AF. Quod erat inquirendum.
  7. eita do
  8. Guod Theoremasic inventum, hoc est; Si Tc ordina-
  9. cim applicata in Hrperbola H2, aeg ab applicationis
  10. puncto H continuetur diameter H A ad F; CIc9; uE di-
  11. ctancia puncti applicationis a C entro H C, ad argre0a-
  12. tum diametrorum trantverse ec intercepie Ha;
  13. sic diameter intercepta HI A, ad eandem concinuatam
  14. HIF. recta eF juncta Hyperbolam in puncto a con-
  15. tingct.
  16. Vel sic; E recta aF Hyperbolum contingat in termino ordi-
  17. nacim applicacae ai crit, ut dittancia puncti applicacionis HI
  18. aceneroH C, ad ejuldem distanciam a vereice remociore H a;
  19. Tic dittancia a verrice propiori H A, ad distanciam a puncto con-
  20. curtus canpencis e diamecri H F.
  21. Demonstracio, si lic opus, insticui poteric repecicis Analy(CoS
  22. veltigiis.
  23. Sed _ Patet, quod, cum (E HC. Ha:: HI H. HF. hoC CAHC.
  24. ACtCa:: HA. HI + FIF, eric (diridendo) HC. Ca = CA::
  25. HIR. AF. Adeoq; li Cumacur (in diametrO COnCINUatA) A F =
  26. HA.AC
  27. HC, habecur punCtUm F. Sed etiam, ciim sIC HC major
  28. QuAmI CA, (DAPSEOTO) CFIE PEOPEerCA HA major qUAI A F;
  29. hoc est. Diamerer intercepta, major quam ipsius continuaio ad Concur-
  30. sum dancentis; C conera qam in F. Hipli abi minor est; et in l’a-
  31. Tabola, ubi aequalis; uc oRendimes PeoV 23 20.)
  32. lcem, (ponendo C1 = 2 -5, _ CH CA F AG- 5t d- c,
  33. ideoq; HA = 5 - 5, _ Ha -c F5) cric HF -
  34. =5, _ CF -c
  35. EF.
  36. iutu
  37. HOc cA CH. C A: : C A.
  38. la

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 87. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0171?run=74