# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067960:0050 # Permalink to this reading: https://leibnizlegible.com/page/00067960:0050?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 1 # Folio [25]v, page id 00067960:0050 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067960&page=50 # Source image: https://digitale-sammlungen.gwlb.de/content/00067960/jpgs/default/00000050.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.96 # 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. Puncta designabimus majusculis, loca minusculis circuli CX ~ CA x est circulus circumferendia planum p, quodvis plani punctum P Recta Cum in plano tantum versemus omne punctum erit P. omnium punctorum locus erit W Recta esto Y, cuius punctum quodvis R, quae faciat duo segmenta plani A nen, H V et _ (V) congruta. Sit sg in N haberi potest (1) in (~), + sit () R (9) in (V) ita ut sit H fq7 q.r ~ (4XY) in q sint A, B, C in Y e sint A, C, B in Y et sit AXB A3 B in _e0 ita ut sit _RC CX ~ CA ~ CB et moveatur AC in in Y sint A et C, et munente C moventur recta CM mobilis congruens ipsi CA, manente C immoto, moveatur ab A existente in Y donec redeat ad ipsam Y in B. A intelligatur idem fieris in (o) congruent et describatur AX B idem intelligatur fieri in (a) ubi et fiat A(X) B congrua erunt AXB et A(X) B et o erit AXB + A(X) B circuli ∞ circumferentia Y posito CY ~ CA, et Y esse X vel (X) sumto si sumas in recta A. R, dat habetur B, sic ut sit B. R ~ A. R AL + LM = AM crr L recta sunt A, L, M, in e recta et recipirce e converso AB V LM Recta AB eodem modo se habet ad A et ad B AB. A ~ AB. B nea extremo si recta uno puncto manente immoto, in plano moveatur, altero extremo lineam ircumse lineam describet quae in se redit. nam continuari potest motus, linea autem mobile autem non potest recedere a loco primo ultra distantiam quandam dimetri longitudinem, neque enim maj radii duplicati longitudinem