# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/73061350X:0031 # Permalink to this reading: https://leibnizlegible.com/page/73061350X:0031?run=74 # Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a) # Folio 23, page id 73061350X:0031 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=31 # Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000031.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.87 # 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. . 2. Datum Rhomboides in rhombum transmutare. 27. Daris duobustriongulis A ec B, inter screquati bus, quorum neutrum ansulum ullum alterius an Suto, neg; ullum lacus alterius lareri, a qua le habec; al cerum corum alteri congruentertransmutare. Inveniacur eriangutum C, unidacorum, r. 8. A, super aouali bale xecucalcum alcerius vero Bansulo alicui angu- lum aliquemxqualem habens; eran smurerur B in C, PeF L5. probl. e C porroin A, Per ZI. 28. Datis duobus parallelogrammis, A dc B, intex Ecaequalibus, noncam en incer se vet aquiansulis, vel aequilateris; alterum eorum alteri COnSTUENLCE traNS ATUTaFC: Inreniatur paralselogrammum C’ uni darorum, v. 8. ipsi M. Tuper xqualibalexquealcum, alceri B equiansulums eranlmuretur Bin C per 26. probl. d C. Porroin A, PeF22. 29. Dacum criansulum B AC in parallologram. MLMIMI ETAHCIMETATE. Biseceneur bina ejus lacera qua cunque, V. G. C. AiA D, CB In Es ductA DB, de per alEeruErum terminu, V. S. Per D, Pro- ductas lumarur ipsi DE equalis DF. _ connectantur F, A: V et producta DE. Per E. sumstur EC agnatis ipH FD, ducacurq BC. Facta post sectione lecundum DE, criamBILUMEEDCOr- dinace congrueceriansulo PD 1; adc09 triansulum ABC eranmuracum exic in parallelogrammum ABEP: rel erian- culum DECordinace congruectrianguloCEB; adeog; eri- angulum ABC transimurabicur in paralleloeraminum ADCB. CoroII. 1. Triangulum itaque datum scalenum insexspecie di versa paralle loeramma transmutari poterit. 2. Licetisirurerianculum datum cui vis parallelozrammos quod ibsi aequale datur, conoruenter transmutare. 30. Dacotrapezio BCDequale parallelosram. mum, in dato ansulo L COnAtrUCLO. D