# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0396 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0396?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 374, page id 175905688X:0396 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=396 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000396.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.81 # 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. 374 A D D E X A N E N F U N. tlis policis, quaero primum rationem, quam incer le habene MO, HIQ, _KC, ut _ BM, HIC, QDK; d invenio BM. L TIC aequari 3 DK: cum BC e A D Parallela existentes inter C Sc linc, licur baculus B ad baculum A, hoc CAt, ut 3 ad L: aC pro- D inde BNI -]HIC∞ 3 DR. P quibus porro inrenitur P A ad 16Y3 2d 5 9 f 74 AO este, uF = 9- 72. 3+ 5. 6 J3 hoc est, utV 3 - 2 ad Deinde beneticio AM d A B quero perpendicularem BH, quae etiam in aliis cerminis inreniri porelt. Unde innore scit lacus ecctumr, quod pollea quoque aliter beneticiO COMLIMVEMIEUI. Ex duplicibus cerminis quancicatir x qualibus quaero f, cuW qu 2C polteactiam u. Cogniris aurem f, q, _ H, quXrICIE FaTIO AS ad AR, ostendeno Poli elerationem. Denique investigatur ratio, quae elt IntEF TX _C TR, hoc est, inteF P Y e Y R, e inde innocescie distantia inter AguatO. rem de locum solis in Ecliptica. Primoigitur MO Sic inrestigatur: IFP O seuq ad OO seur ita quadratum M Peu a X 24 X a a Y X X adeoque V rw - prOBM. RurtuS, ut qadr, ica quadratum 10 NO SpP =- 3PX F = X X ad = P P r - 3 p Y X F Z Y X X quodsi Suberahatur a = p r = Z rx, rectangulo N QO, de exreliquo ex. trahatur radix quadrata, Aet V = pr - = Y ~- 16p Pr + 8prN = r XX E PTOHF, ∞ V YX YX ∞ tertiae ridelic et parti iptius BM. Oua aequatio s reducatur, invenietur x X +P P = 3P4 2p =9 3 PrOMO. Deinde, ad inreniendam II Q, inveltisetur prius eodemmo. doHC, Vry - Tum HIaE, UE C A ad A F, Peu 4 ad 3, ita 16 GuadratUI L. O DPP =1 Py seULF. POrrO, Ut 9ad Y, I12 9y7 1620 49PPY 169 21p ry 9r97 89 169 Duc