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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 253, page id 175905688X:0275
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# Lines: 57 recognised, mean confidence 0.80
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abeo
Paret
uareba
E dicer
neunibe
1cuta
emont
dide
ccedun
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COMMENFARLS TN LEDRuMII.
253
CrIEL. IT∞ -. Denique, cum, ob similia criangula C DF, HIP.
CD SEad D F SCUCL, HoC Cst, y ad =, SICUEH LSCNCL, hoc
est, = ad TP: erit IP ∞ bC
eaque assumatur C D aequalis C B, ac deinde ex puncto D recta
agacur D F aequalis CIP., d parallela AC: manifeltum eAt, re-
ctam, quae punctasF, C connectie, esse lincam quaelicam, quippe
quae Conchoidem secar ad ansulos rectos. Ouandoquidem, (I
producatur ad P, OIAC∞
+
b0c bbcc
00
D
y3l
D
bbcc
 3atque adCO FOFA A P X
. Ouod erat faciendu.
Porro, ut constructio adhuc brerior cradat, operae pretium
eAconsiderare, rectam ab FI ad C ductam ips C C esse perven-
dicularem. Id quod, ab acurissimo nostro Tlugenio primum ob-
Terratum, deinde sic rerum deprehendi:
Ouoniam enim L. HL ipsi A O est parallela, crit angulus FILC
aequalis ansulo L O A. Deinde, quoniam C A ∞ b mulciplicata
Det LH ∞ CFaCILbCC
1
p
quadratum ixsusOL, qux est : erie
AC ad GL. SCuEC L ad L II. Unde cum in criangulis ACL.
T. CHIlatera circa aequales angulos ad C d L sint proportiona-
lia, erunt icidem anguli C AC e L. GFI aquales. FA aurem
OAL rectus. Ouare _ L G HI rectus erit.
tlinctalis emeroit constructio:
Ducta CC, secante AB in L, agatuF CX L ipsI AC
parallela L HI, doncc occurrat perpendiculari (FFI in
HI: eritque recta HI Ci, quae ex II per C ducitur, sccanS
Qualta.
Non distimili ratione invenire licet constructiorem exempli
∞28. 47.
Verum enimvero quoniam linex C P alio quoque modoinve-
Aigari queune, beneficio Methodi de Maximis de Minimis, cujus
Auchor est Vir Clarissimus D. de Fermat, in Partamento Tol0-
Tano Consiliarius, quam Flerigonius in supplemento C’urlus lui
Machemarici exemplis aliquor illustrarie, acque ibidem eriam ad
inreniendas tansentes adhibere docuit: haud absre fore duxi, (
hocu