# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068529:0251 # Permalink to this reading: https://leibnizlegible.com/page/00068529:0251?run=74 # Title: Leibniz-Handschriften zur Militaria LH 36 # Folio 125r, page id 00068529:0251 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 124v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068529&page=251 # Source image: https://digitale-sammlungen.gwlb.de/content/00068529/jpgs/default/00000251.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.95 # 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. Res jam ed redit, ut datis lateribus tatis quadrilateri, et basi una diagonali F (quae est basis cormunis congruorum triangulorum) autem non difficile est Recta PF si opus producta secet circulos, contro P descriptum ins Sed jam viteo nullis opus esse ambagibus d. Datur angulus NpF, paulo ante inventus et angulus Bes, quod in trangulo ert rectanus i scilicet quam segmentum super BC descrbendum capite debet seu = ang. BCd datur ergo et angulus BPF. Ergo et ejus BB. as Z dalo ro A qua est ad B P invinlam, ut sinus ad radium. ergo BD inveniatur dingonalis altera Bd Hoc et centro F descriptum in 1 Hinc Bd = bis B3P. _ in sin. angs. B PF dsivis per radium Eodem modo ad hac semel inverriri potest Bd quia datur angulus NFP jam inventus est et datur angulus HFB. Ergo et ang. BFP et rursus fiet Bd = bis BF in sin ang. 13F p civis. per rad. Unde patet esse BF: BP:: sings. anus BPF: sin ang. BFp quod aliunde patet, sinus scilicet angulorum esse ut iatera opposita Quin et ad huc breviorem nam video tn Datur angulus PBF hoc modo: Ns si angulles ABC date, detrahatur a summadatorum angulor FHtB AB HBF MBp du restat angulus _ p BF qui proinde, est datus. Ergo res comnis huc redit: datis at trianguli BPF duobus lateribus PB et FB et uno angulo FB p, invenire reliqua, sufficit autem inveniri reliquos angulos, aut galtem eorum unum, ut BPF, est enim quaesita Bd ad ipsam Bp, ut duplyssinus anguli BpF, ad Calculus Constctiergo in summa huc redit: radium. dates triangulo ABC, et angulis ADB, CDB quaeritur recta DB. Fiat ut radius ad secantem complementi anguli AdB dati ita dimidia AB data ad B FB. Similiter Fiat ut radius ad secantem complementi anguli per calculum otrebraicum. Et notabilis CDB ita dimidia BC data ad PB. sma porro summam duorum complementorum anguli AdB et anguet cDB deba et anguli erit angulus FBP iitaque in triangulo FBP datur hic ingulus, et habetur hic angulus, et duo circa ipsum latera _FB, PB habentur habentur ergo et reliqua, adeoque et angulus BPF BPF Et siet p ut radius ad temntan complementi anguli BpF ita radius ad sinum anguli BpF ita PB ad Bd quaesitam. solat sed Geometricam ab Algebraicu differentem solutione satis brevi rem omnem placet de integro ordiri et constructiorem pariter ac demonstrationem Inventa jam per Analysius per siuthesin dare. en differentia inter angulum ABC et