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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2
# Folio 74v, page id 00068126:0148
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068126&page=148
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.94
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sunt similia, ergo, (3+o) latera eorum homologa sunt ut
sed
OR ad Es eca (per 3) ut 3 Mo ad 3 M F adeos
ut latera homologa triangulorum similium 3 MA
et 3 Md F, porro (6+0) 3Mo+ 3 MF aeg. A-2, ex
05,
natura Ellipseos, et 3 M O- 3 M F (7 mo) vecetur et
Et (8V) differentia inter quadrata et  axis majoris sau
recti (seu distantia verticum) et DC axis transversi seu
conjugati vel minoris seu distantiae medrarum digres
sionum aequatur quadrato distantiae focorum seu A qu
q - OF qu. aqu. BC. qu. seu aqu. rectangulo
Sub A  latere transverso, et X W latere recto (quod
latus rectum invenimus aequale duplatordinatim
applicata ad axem in foco) constat etiam (9no) in
omni triangulo, sjangulus ad verticem sit bisectus
rectam lifceantem esse ad rectam qua potest diffelen
tram inter potestates summae laterum triangulibaseos ut
media proportionalis inter latera est ad laterum summam
Itaque (10mo) MR est ad rectam quae potest A -2 qu. - OF qu
qu. id est (per 8.) ad BC ut media proportionalis inter
3Mo et 3 MF seu sper 6. et 7) ut dimidium latus de
A2 qu - 0 qui est ad An.  Rursus (11 mo) MR. OM+ QF
aqu. duplo Triangulo 03 MF, quod etiam habetur
si media proportionalis intersummam et differentiam
baseos et summa ex Latenitus ducatur indimidiatam