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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 326, page id 826603459:0372
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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t
Elemenii quini Enelidis declaratio.
+B
+ F, hoc
E A
23 2 te3 1c3 d
10
a erie
a adeOque
P = A FZ = + = a + +, HOC CA
a
a
A
a + 7 = a
Echmilicee insticui pocernne de-
monstraciones non modo prop. 17, e 18. uc lupra, led _ earum
quas illis subjunsir Clarius. Ouod obicer dictum etto.
Vel eciam per lemma nocrum; Si AFB. B: : a + B. B, erie
(A B + BB =- B a t BB, 8 TeOque AB =-Ba, _ A a + Ba =
A a Y AB, id eogue) A L B. A: : a + B. a.
Sed _ relticui pocerit eadem hujulce propolitionis demon-
Rracio quam modo repudiarie Clarius, co adhibico remedio
quod adprov. 16. innuimus. Paca, siHic, verbi gracia, ut A + B
numerus pedum in linea coca, ad B numerum pedum in ablacas
Sic a + B numerusunciarum incocopondere, adB numerum
unciarum in ablaco; (ut Symbola jam non lineas e pondera,
quanticaces heceroseneas, immediace senihicent, sed ucrobique
numeros, adeoque homogencas:) erie permutando AtB.
e + B:: B. B. uc numerus eocus ad eorum ho ablatus ad abla-
cum; ideoq; _, per pr. 19. lic reliquus ad reliquum, nempe
A = B. _76C:: B. B):: R. a. icerum q: permucando A+ B. A : 5
a +B, a. uc pedum numerus cocus ad reliquum, Sic unciarum
numerus cocus ad reliquum; et propterea etiam, uc linca tora ad
reliquam, sic pondus tocum ad reliquum. Guod erat proban-
dum. Vel Sic; Si sc linea coca ad ablaram, ut numerus T. ad A,
e pondus corum ad ablacum, uc numerus r ad a; Ccg; eadem
urrobiqi racio; hoc est T. A:: 7. a; adeoque permucando
quippe jam de numeris agitur) T. T:: A, a; ideoq; Per DE.
19, T. 7:: T = A.. 4 = a. ICCTUMQ; Permucando T. T A::
T. T  . E FZO _Cquia ponuntur numeri illic lincis, hICPOn
deribus provorrionales) uc linea eoca ad residuam, sic _ POn-
dus tocum ad retiduum. Ouod erac probandum. Acgi HOC Pa-
vel