# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/DE-611-HS-860722:0144 # Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-860722:0144?run=74 # Title: LBr. 695 · Oldenburg # Folio 72v, page id DE-611-HS-860722:0144 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 73r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-860722&page=144 # Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860722/jpgs/default/00000144.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 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. Mhonks he can procure a copy, perchance tote soure entaryeats os tudden. Much os thyx lenud iis readu done; as ye 2 aud 5te 600k by de Wvalles, aud hi fosters miscollanios. See also Hhae Elemons Nouveaux de Geometrie. Me 10tu. Boote vell done by por ouglitred aud le Pieur le Tannour. Part es ye ota 600k handled by. Canullus gloriosus. Toye ql muylt be subjoined idhat Brouhius hata de numeris perfectes; aud toye 13, souce exellont proxertios os a number devided un extreme aud moan proportion; a Table made by addition sor domus there os; rote te Consequoncos ensumq, as ye currquius on os a rank os continuul Propor tionals bu meer addition or substraction. Divaudius hater illustrated ali dee pra positions in the 10 thooks cora examples in numbers, or surds, aud Henrion the last. Those about the sregular Bodios are done by degys et The peat ad vantage aud case there y in niventuiy os demonstrations bys Hyde es Aelgebra, is haudromeleus treated of by Bartolonus in his B0ok de Arte Arales tica inveniondi omnia Problemata Proportionaliro maxime harmonicarum. A dis course about te Bethods os bringuig problens to un aequation, is exspected siveu Mr Necoton, benius by hiu prouused As toye Coricts, por Strode hata colleesed an Maalytical hodys thereof Trour his ouon Lnvolodys, ye hoo Rooks es Kirkckuyson aud al otuer quod Butlors extant Je Ravroro hater contlen aud put into my hands au Exercitaon abot Conical aud Me charical Constructions sor Rquations; ef vel g0od use may be made: Mr Necoto hate done the like. To complvat se Conical doctrine, tis sit (i regurd e sind un divers authors diverse constructions cothont ans aequations on Calculaons suited tothen) that this Probleme be considerd, viz. Any too giuen Coniek sections benig dracon in any position at plensure, to sind, Wohat aequation y soeved by ordinates salerius stau tudir Intersections on The diumeters or soxos ot either figure. E. g. Mydorgens giues Conical Constructions (out no Cal culations) Sor those Problouos In an Ellipsis (on Hperbola) te situation os thore Conjugates othez equal to ye angle 1. 3 givinus the Axes AB, Cd, to snnd That phale rate au argle rota eache Mud hoco frocu ye Locus s’au requation to derive Coniral or other Construitcons sor aequations, sccurs a prelly consideraon; sor un sldir natural locus, the root, lye allun one rigat lire, coch beriy sound bys a construction cote a corcle aud a para bola, the oqury may be, lohother the neurvation os that rigut line hatl any ha bitude ofthe archos osthe quadu lateral sigure es te Circe; or, is the 4 roors be made perpendiculars, viz. ye sinst of tadur on the Cesolvend es te Bequadratiet aequation; another, on tue Resolvend os the inserior Cubick cequation that serves Sor sindrius the next root, aud te demaining tov ou te Resolvend or Absolute et dhe quadratick aequatior that serves sor Thoir discoverys; or, is hhuy be made all Per pendiculars ou He roots ef ye respective pure povers os thes Pesolvends, The quarés may dhon be tohother dhooi extremisies beuig soined shale matee a quadrlatoint sigure inscriptible m’a cincle, aud such an one as may have its diuueters aud nn Hry parallol tothe line os aesolvends; or Wohether, in suit a construction