# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0672 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0672?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 652, page id 851387705:0672 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=672 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000672.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine # Lines: 60 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. De Canoro taatis. LAOP. VIEI; sit Si unico sui puncto sustineatur Grare: quocunque situ ponatur; Fal tem unum per punctum illud incedens Perpendiculare planum, cA planum sguilibrii. Adeoque; Per omne Craris Punetum incedit aliquod sequilibrii Planum. 1i u Fip. 88. C H XASB Geare; pincto sui Mt suctencum; per quod transeat Pespendiculum AMB; perque hOc incedat ANBN perpendiculare Planum. Prit hoc AMBN, vel Planum Aquilibrii (adeoque habetur quod erac probandum;) vel seomentum alterum, pura AB NS, praeponderabit. Duo catu; Planum A M BH (cujus Faciem alteram, Dura quae S respicir, Anteriorem dicemus; alteram. Poste. riorem;) incelligatur, immoto Crrari, imaginatione converti cirea AMB axem; donec eo perreniatur ut quae utrinque lune segmenta Craris Aguiponderent. FIOC enim omnino fore certum est: Oippe, lacta lemi convertione, quod erat ab an- ceriore converti. Plani facie, a Polteriore relinquetur, scementum Craris prxepon derans; et contra: Cunque a prxpondergnria antica ad polticam sic concinuo Ocu pervencum (ic, Co momenio quo ab hiac ad. illam cransibatur, neucca exac: sed aequiponderantia. Ouodque cum converso Plano, hoc liu potuo, coincidit in Onde e contlat Corollarium. Ouipee quovis ui pisncto sustencum inteltisi Postie GCarB. ((1. H3113ISCLO) Ldi Od 19 seris (11 1 e set et (sidoe Si unico sui puncto sustircatur Crare: Per illud incedens Perpen diculare Planum squilibrii, manebie Horiconi rectum. Tdeoque; vel quielcet grare; (nempe si perpendiculum per centrum mocus, seu punctum illud quo sustinetur erare, sit Pervendiculum Rquilibrii iltius Plani sc grarati.)istis ri Vel (R perpendiculum illud non sie Perpendiculum Rquilibrir icrius Plani) rocabitur circa Horizontalem Axem, Plano illi rectum, per centrum mocus scu punctum illud quo sustinetur Crare rranteun- tem; donec, ad seguilibrium redigatur. Sin Planum aliquod Perpendiculare, non sic Planum Aquilibrii: See mentum prxxonderans descendet (adeoque obliquabitur Planum;) donec ad Aquilibrium redisatur. Onde; Si duo quaeris per idem punctum plana perpendicularia sint Plana sequilibrii: etiam reliqua sic erunt; exirgue perpendiculum per illud Punetum, Axis squilibrii. .133I S isi Ex vunctum M, quo, sultineri incellixatur Craves cranleac cum X S recta torisoncalis, quae pro onusta Labra habeatur; tum huie ad angulos rectos AMB N Perpendiculare planum per AXem, Crare dirimens in duo legmen- a AMBX, A MBS; quibus respectire onerantur M X, M S, librae brachia. DeF X3 Cap. 3. Cumque (Per PXced. J ex Perpendicularibus per M planis, Calcem unum ali- mod sic Planum Aquilibrii. Inccllisaeur, primo, illud AMB N planum Aqui- librii; adeoque (per deF. Blani A. quilibrii) AMBX, AMBS, segmenra inricem Aquiponderantia. Perie ixime MI (per def. F3. Cap. 3.) centrum A quilibrii 000 cum (ex hypochetr) Pultincatur Libra, in neucram partem movebitur, per y vel 20. Cap. 3. Adeoque nec obliquabier A M BN, sed manebic (uE prIuS) FlOri zonei rectum. Quod crat primo demonstrandum. Adeoque; rel non moreblur crare, rel circa manentem _M Sasem rorabie, pex F18. 88. ol F. C11F