# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/824573315:0233 # Permalink to this reading: https://leibnizlegible.com/page/824573315:0233?run=74 # Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2) # Folio 21, page id 824573315:0233 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=233 # Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000233.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.91 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. drithmetica En Euitorum. rioram. L Parscer de quoeris circulacionibus judicanctum est, habica semper numeri circulacionum consideracione. DROP. ZZVII. Corollarium. T autem Spiralis ultra circulationem primam sed non duabus inceeris continuetur, sigura spiralis sic descripta (bis sumpto quod bis describitur) a quabitur trienti tam inteeri circuli contermini, quam e jusdem continuationis supra circulum inteorum. Nam incerea dum delcribicur figura (piralis MATM, de Ccribicur eriam Eigura circularis aucta PPTM: nempe circuluS inceger De, cum adjuncto cciam sectore PMT. PROP. XXVIII. Corollarium. E Dariter, se spiralis continuetur per circulatio- nes duas tres, quatuor, aut plures inteeras, cum additamento; ficuraspiralis sic descripta (repeti- ia tolies qualibet parte quoties describitur,) aqnabitur trienti tam inteeri circuli conterminibis, ter, quater, aut sapius sumpti (pro numero nempe inteerarum circulatio- num,) quam etiam additamenti sive sectoris adjuncti. Ouia nempedum Egura illa (piralis (a circumducta recta crelcence) delcribitur, cories delcribicur, Ca recta circumdu- eta aquabili) circulus concerminus, acq; insuper addicamen. tum. PR OP. XZIZ. C010H. F9i insuper. Pienre spirales quae prima, que prima e secunda, quae prima, secunda e ter- tia, qua prima, secunda, tertia et quarta, Ce sic deinceps) circulationibus describuntur, Cput a M AM, MaBML, AIABCMI, MABCDM, C c. ) se habent ad invi- Cem ui numerorum drithmetice proportionalium cHbi, I. E C Z B PROP: 27, 28, 29.