# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066520976:0102 # Permalink to this reading: https://leibnizlegible.com/page/1066520976:0102?run=74 # Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134) # Folio 82, page id 1066520976:0102 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066520976&page=102 # Source image: https://digitale-sammlungen.gwlb.de/content/1066520976/jpgs/default/00000102.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 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. 82 aequibilecandis, nec non mediis proportionalibusinre niendis abhibetur, ut suo loco ostendemus; et uc uno verbo cuncta ejus ofticia complectar bona pars propoli- tionum feometricarum perpendicularis auxilio indiset, vel ad constructionem, rel ad demonstrationem. SPECEMENUM M A YETEM AFTCORUM Ouando perpenatmum. in quo sumpta fuerint aliqua puncta transverpm, es urrimque supra subjectam suam mo- veri sic intellicirur, ut a directo cum ea situnu spiam in mo- tione sua deflectat, accepra puncta cum dicto perpendiculo lata fuxu suo rectas describent, quae tum inter (e, tum adt subjectam parallelae, sive aequidistantes vocansur. Vel (C, Parallelae, sive aequidistantes lineae dicuntur, qua cum inter se distent, nusquam tamen ad se invicem accedunt. aut a se invicem recedunt, sed per aequidistantia semper inter- valla porricuntur. Vel adhuc, Parallelae, sive aequidistantes lineae dicun- tur, inter quas aequialtum ubique mediat intervallum. VARE parallelismus sire x quidistancia cAt in magni cudinibus, quoris incerrallo à se invicem distanci- bus inrariatio, sive immucabilitas distantix per toram intervalli lacicudinem; vel est perperuus ejusdem distan- eic cenor, per coram existentis inter semoras magnicudines Spacii laricudinem alcicudinemre constantissime serracx. EXPLICATIO. FAo LLD, supra basim AB crectum, in quo su- D.. mantur quorlibet puncta FI e D. Dictum aurem jum CD cranlversim, hoc est se cundum Cuam lonsicudinem. ec uerimque, nimirum versus OpPOSICASPATEES A _ B, supra nominatam rectam AB in- remoreri, ut a duceo cum ea licunuspiam ex 270. celsisaru