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# Title: LBr. 396 · Hermann
# Folio 116r, page id DE-611-HS-973581:0233
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 115v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973581&page=233
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 329, 2026-09-10T23:03:46Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.90
# 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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# After the first blank line: the recognised lines in reading order, one per line.

Cecto + EBB - aA BC
ectot
22 = setpam: h, ac denique linea LM in fig. 158 =
= seEde: D, -sedm: R, = d. libi singula a, b, C, d, e, et h sunt quantitates daea, et elementum Curvei
AY quod est Ly = ds, LM = m, reliqua indeterminata omnes A, B, P et Q in hisce ds et m ita data sunt ut inde
terminata ab invicem separatu sint atque adeo curva AM per puncta describi possit. Hac vero omnia ita se
habere dico salvo catculi errore, quia diebus hisce ita distractus sui ut nulli rei seris et antonte ucare polucrim,
Elegantia sunt qua circa quastionem utrum omnes cujusque cornoris partes aequales aquales gravitatir
ictus excipiant nec ne, mones, eaque ita comparata mihi nunc videntur ut indem cedendum sit. Interim nungua
controversum lemma tanguam Propositionem qeometrice demonstrabilem sed phytice tantum respexi et hor
posteriori modo idem probare conntur sunt utunque: plura tamen super hunc rem adhuc proferri porsent et
nonnulla in qualem cunque mei exuationem allegare ponem niti tabellarii dircenus instant haic epistolio
finem imponeret. Vale Vir Mhestrimme atque favere non detine
Celeberrimi Nominis suc
A = b - (Bdsi m, F
Sfurti ad Oderam die 6 Jan.
1716.
Eudem circa problema speciale, cum O T est constans a, sic colligo ex calculo
ob triangula similia OYV, OAT est u -y,: x = u :t. ubi a et t sunt
Demenae, y et X Simplae, ergo differentiando sit du: dt = (2) = y - v, : f- X
jam in eas OT constantis, sit un+ H =  3 = aa Et du: dt = 4 =- t. u
Ex 2 et 4 fit t: u = 5 = u - y,: t - x. ope harum trium aeg9. 1,3,5 Cultori obsequioritrimo
tolli possunt t et u. Sed compendio res ita firt. Ex 1 est F- x = yt : u. Ex
S est +- X = G, u-yrit quos duos valores aequando fit HE: Uu = U-y, 
et componendo Et+uu, : uu = V -y +y,:y seu (per 3) aa: q:
vel aay =  W et pari jure aax = F. Ergo uu = _
et tt = aisaxx et un +H = aa = a iaxx t agys
a = Vaxx + ayy
Aermanno.
layu