# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/827130880:0109 # Permalink to this reading: https://leibnizlegible.com/page/827130880:0109?run=74 # Title: An Introduction To Algebra (shelfmark Leibn. Marg. 87) # Folio 93, page id 827130880:0109 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=827130880&page=109 # Source image: https://digitale-sammlungen.gwlb.de/content/827130880/jpgs/default/00000109.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.79 # 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. d 2 1 - dd Resolution of Problemes. A Proposrion Ein an oblique crianole, a perpendicular be let FaIL FTOMM ANV thenis che Dupon the oppolite lide ichin or michout the trianele; iHference oFche squares oF the sides (AB, and BC) conteimins che Caid angle equal to the difference oF thie lines AD and CD) conteined betreen the perpendicular and BOFh d encs oEille ue (et oppohce lice atorelata.) b 2. 1 AB =-aa 1 2ab 1 bb AC + CD = d 1 0 = AV SH AD. =dd 1 2de t ee E BC =CC (OAC D = eC C+ D AB EsBC = a A t 2 ab + bb - cc c2 1 AD DCD =- dd- 1 2de 23) aa 1 2 ab t bb - c0 = dd F 2de a5 Cay es ch PropOlicion 14 15 Demonstration. aa 1 2ab + bb, dd- ec- 2de = BBD C6 e6 =HBD 16 aa l 2 ab + bb dd - 2de - c0 =0 17 aa- + 2ab t bb - c0 = dd 1 2de 25 above in (+3) 9. C. d. And alter ehis ray may all sorts oF Geometricat PropOLi tions Dedemonstrated.