# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068126:0124 # Permalink to this reading: https://leibnizlegible.com/page/00068126:0124?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2 # Folio 62v, page id 00068126:0124 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 63r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=124 # Source image: https://digitale-sammlungen.gwlb.de/content/00068126/jpgs/default/00000124.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.84 # 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. en laterum inter potestates summa larum trianguli bascos, ut meeta preportionatis inter latera est ad laterum summam Itaque tomo) MR est ad rectam quae potect A qu. O= qu. id est (pet 8) ad De, ut mebra preportionalis n inter 3 MO et 3 MF Scllcer 6 et 7) ut dimidium latas de Nor qua0 qu’est ad M2 Kursus (Hmo) M s DH et t Laca n Qa qu. Suplo Friangulo 03MF. quod etium habetur, si mediae proportionalis, inter summam et disselen tiam baseos et summa latenitus, ducatur in dimidiatam mediam proportionalem inter summam et dissetentiam baseos notum et differentia laterum (per nostrum canonum invecti gandi aream trianguli ex datis lateribus): ergo (per 1I et 12) fiet (13 mo) Ma in a 03i+FE= Vor qu 67 qu fiet seu (pere) BC in dimid. V0 qu-0 8 qu. Peu MaadBe at ut a dimid. 0F qu0∞quad O31 +FZ. ergo (per 10et 13) fit (14 mo) vol a qu0pqu ad ut et qu c qua fionteF adan ut et qu OF O∞qu. ad 03+Fa scutoda ad et autios qu.odqu. ad2 qu. -0∞ qu. sed (15mo) OH1+F ad 3 Mo +3MMF seu ad A2 est ut 08 ad 3 MO (per5.) Ergo (per 14. 15) fit (16mo) OH ad 3mo utsF qu68 qu’ad equ0 Sproinde et rima (17 mo) _3 Moque-81 qu id est 3Md1 qu. eot ad 3 Moqu. ut A.2 qu - 0∞ qu demto O Fqu. 09 qu e seu ut Aor qu-6F qu. seu ut Bequ. est ad e qu O∞qu itaque ex 15 et17 (12mo) funt inter so L3MH (quae ut velotitas circulana) O (quae ut velocitas para et quae ut ut centrica) 3M (vclocitas inorbita) qua ut sunt interse DE intente OSquB qu(seu mod. prop. inter OF +0F et OF.) et A2 quie∞qu. (seu dupla med. prop. inter