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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5
# Folio 52v, page id 00067964:0104
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ergo duns perpendiculare  a puncto E in recta AB eductam ad rectam cD
aequalem perpediculari a puncto F in recta Cd eductae ad rectam CD
sed ut punc demonstraretur rectas AB et Cd nunquam concurrere,  opus
effet ostendere multa ad huc zatrocinatione opus foret veut
i quis prius ostenderet perpenduularem esse minimam quae a puncto
ato E, ad rectam C Cd duci potest, atque hinc colluere rursus
IE est minimam quae ex puncto 1 ad rectam an duci potest, su it esse necessario
majoiem nempe ut angulus rectae E1 ad Cd est rectus, ita ostendendum essese
etiam angulutus recta E ad AB esse rectum. si non sit esto ipsius it gulus
ad AB
in s ad AD rectus quo ostenso probari posset regulam normalem ad AD,
in ad AB incedentem puncto L per A et grectam AB, adeoque per punct
transituram per KF, Et, et adeo desgipturam esse
ectam Cd. Heece ergo en
KE
simplicior ergo rabio
est hoc theorema demonstrandi; et quidem talis
ectae AB et CP congruuut ad pantus
congruunt alicubi concurrunt alicubi velut in N, ad partes B, D
eadem ratione concurrent inp ad partes CA, quia congruunt AEFC
a
ubi in
et D, F, E, B. Ergo rectae AB et CD concurrent in dubbus punctis N et p
adeoque ireci quod fieri nequit. Demonstrata hoc modo d propositione
7. recte ostendit Phirmius dicto 5. 10, et sequente I1, quomodo
hine consequuntur propositiones 28 et 29
L