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# Title: Leibniz-Handschriften zur Technica LH 38
# Folio 283v, page id 00068537:0568
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Lemma
Si trium se mutuo secantuum planorum
AD, AF, CF, duae quamo communes sectiones
AB, EF, parallela faerint; erit et reliqua
.
sectio CD,
communis quoanmment ipsio quoqu
par allela.
Si enim recta CD ipsio AB, F. F, dicatur
non esse parallela; vec ipsa alteruti saltem,
vel neutri prorsus erit parallela.
o
quod si 1. recta CD, alterutur, v. 9. epi. AB)
concedatur esse parallela; cum F. F eidem AB
oe
parcelela quoque posita sit, erunt egitus tres
rectae AB, CD, EF, inter se parallel ae: quod
est propositum.
Si 2. recta eH cD neutri prorsus
rectarum AB, FF, paraleala sit; cum diota
CD in iisdem sit planis cum ipsis AB, FF; ips a
eC+
egitur produita concurret cum utraque.
b
CD
et iam produeta, quare, in unico erit cum
ipsis plano; ideoque rua plana A, ex. At
AB, F F,
hec ipsas duita AD, AF, CF, unicum planum
conficient, non viro tria duversa: quad est
contra hypothesim.
Lemma 2 un
Si trium se mutuo secantium planorm.
AD, AF, Ct, duae quaevis communes factiones
V. 9. AB, F F concuarant maliquo punito, ce;
etiam reliqua communis sectio cD concurret
cum ipus in eodem puncta 6.
2. 9: 11. Euce.
. def. 34. 5. E.
b. 7, 11. E.