# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/73061350X:0029 # Permalink to this reading: https://leibnizlegible.com/page/73061350X:0029?run=74 # Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a) # Folio 21, page id 73061350X:0029 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=29 # Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000029.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.86 # 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. raI Lclx ADEEFL CtZ CFIR: ita uc iveta VC ipsim CKscceciuL, iplam TIE in HI. Rele- Cencurex L GipBIEFaequales LH, HIO, OP, donec ulcimum relectionis punctum cadar vel in HI, rel incerHI_C, e du- e cancur ip(IL Eparallelae NOR, OSL, PV. Denique secvadum oqi rectas MIF, OR, SI, PV dissectum parallelogrammium re- concinnetur ita, uc ordinare cactaL PR in LMI, RY in MO. Tr in OS, VCin SII: Sic orietur Paralleloxrammum con- gruum ipAABCD. Coroll. T. Licet itaque darum parallelogrammum E. F6 l in na. ralleloerammum dati anculi B AD eransmutare: si nimirum con- struatur in dato aneulo B D aliud, ipsi super aequali basi aequeal Eum. 2. Licetitem paralleloerammum quod vis uniea sectione in rect angulum transmutere. 23. Datoparalleloorammo oblonso ABCD, aequa- le caequiangulum, sibi rero aequilarerum, parallelor erammum construere. (Erc daro rectansulo oblon 80aequale quadratum; datoitem rhomboidi, aequ’a lem dcaeguiansulumrhombum invenire.) In loneiorciplius larere B A producto per A, lumaear AF aequalis breriori AD, E bilecerur BE in F. CentroF, inter- ralloFE, describatur peripheria, cui ex A ad iplam BF exci- taca perpendicularis occutat in C. FririClacus quaesiri sibixquilateri parallelosianmi. 24. Datam rectam terminaram ABica Secare, ut quadratum majoris seomenti aequetur rectansuto, quod subtota, deminore leomento comprchenditur. F. XXX. H. LH XI. Ex Aad iplam AB excicetur perpendicularis AC, aequalis ips AB; bisececUT AC in D, _C ceneroD, intervalloDB, de- leribatur peripheria, iplam DA per Aproductum secans in E. Denigi ex AB ip (i AC aequalis relecetur AP; eric quadra- cum ipsius At xquale rectangulo ABF (h. c. rectansulo sub ABEC BF comprehenso.) 2o cea