# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067980:0036 # Permalink to this reading: https://leibnizlegible.com/page/00067980:0036?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 18 # Folio 18v, page id 00067980:0036 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067980&page=36 # Source image: https://digitale-sammlungen.gwlb.de/content/00067980/jpgs/default/00000036.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 75 lines, status machine # Lines: 75 recognised, mean confidence 0.82 # 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. ditis tribus circulis quorum centro sunt in lucta recta oportet in eorum circum ferentias trdanguli 1 triangulo dato similis angulos colloare, ita ut trianguli latera sub datis augulis sed lineam per centra transemulem circulorum inc linentur et polerat omitti cosditio duanguli data similis Ea senim sequitur ex angulis ad rectam percentra transcuntem datis let Edmundus Halleius Astionomus celetris, Geoinetras C 1 inquit insignes impensius oro Astionoaum eorum, opem efflagitantem ad jabure vel iut problerum hoc solulum dare Haec Halleius in calaloga stellarum australum uppendice. moblum ad hic sedueitur panlo sumeiciu: eatum clordum cd su dirculo duto adR. taco ut ex pnctis C, d, itelim rectas auc po adt ad ecta eR (per hujus et duorum pdhuo daporum frt ut ecentu transenitem) valis ansulis inclinati dluc simpilicius: in circuro dato Iscribere quadrita- et circulis in N et est quia similiter ob angulum HDP datu vecurrentes, recta MN tum opus est uno dec s ad huc ali quod nec pratleu at instat angulum isiu MNdari ad Ct AB sum et CH: HX: XC: : NH. AM. M ng. XCA sessem rHexse sungnitudine. cunto in Det dantur AB, CD, EF Rcta item t D ob eunda noem, dulto enum angulo CHD, NH ilem datur recta LD ob datum angulm LHd (quia dantur jam anguli CHD et NHL datur eodem modo et recta LC vidur ergo et triangut LCdmagubdine datur recta HP 2t at duto angulo proplera propositu redud est ad hoc G. Cuculor dulo et is andemetru dissim recton centio Dt aten tur hos quod cercm ex puncto no ut (idem est est de relquis C gele) demittendo re secent in cunei circuli ermsaat perpendicularem ad diametum datam eR eamue producendo it por segns ex urdo um cnculo ita occunat et agulo pDH didendo cordam ee cde (qu aeb osse cnstat ita collocare atade puncto CD ducta recta DS, panellela diam etro op et AH cujus pagulu ad D5 detus. frt quncta HL ifiBC desau est iees ad plra uc sergulilus dsia datur et HS (ob datum dagulum SDH) a chordum sD qurallatum dalae rector L) ito sapplicare c Ssi datus Aden smprinus indrilateriem in setendo des tabla oecunt in T angulo dalo. A sint data. Dinginalis vero fB CH datum faliant angulum inter se. Nam si simel hoc triangntum ut atterntra dimioualium sint pprallelo rectae data flnlle ectu H snt lo HNA renam terum HSed cujus duo latera opposita sint data CD, HS quadritaterum descripteris, facile id postea ita convi tes