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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 61v, page id 00068194:0122
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 60r); this page is its left half.
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ad lineam rectam non suffint, ut inversa sibi congrua sit, sed addendum,
 necessario actu congrant t 9vord ut inversa sibi congrua sit seq
selo quod sit uniformis. Nam si concrna est, sic poni potest ut suo ptioni vestigis ast
congruat qC e seu ACB ipsi (B (C) A. hinc autem ostendi eceanis ne unitoruitas
quidem sequitur, vmb. gr Ellipsi dimidia Elliptica itidem inverdi potest; sed liquavis
portio inverti possit, sic ut suo vestigia congrua sit, linea uniformis erit
Aequi destant a dato puncto ad qua a dato puncto eadem linea
pertingit Aeca e quae puncta connecti lonea ea et inversoitu connectet.
sacta
Si una linea puncta A et B suis extremis jungins etiam puncta L et M sus extr
mis junget, sequatlir quam quis lineum suis extremis A et B jungentem etiam
a et. M. sais extremis jangere. Sed hoc mere retur demonstrari u
Magis distat punctum ad quod eadem linea pertingi non potest.
Sid d eogn quia per majus absolutum aliquod intelligimus
definitio non satisfaciet seopos nisi constet quae secundum unam pertingenter
mongis cpare deprehenduntur, magis distant etiam secgndum
quamors pertingentem magis distare nec indinere distantiam facere per-
ingtuti tirgentia sed indicare
seteeguenta rectit in seacumat incidunt,
Quae nec magis nec minus distant, aeque distare oportet
deque distant quorum eadem
des
ais sin major unt minor magis aut minus distant
la
An ostendemus esse minimam connectantem sartam quia
quod dantur minus distantes secundum unum pertingendi modum
Minima sic qua non minor, abio sensu sic inar circulo
inter duoc potos interceplo, qui est semicirculu magnus.
se excludutur etiam aequalis, res sicus est, ut et hoc sensu
inter mo puacta non nisi unc minima absseente vel sin
en
si duo recta punctae in planum incidunt, quodvis
plano datur
aliud ejusdem rectae punctum in idem planum incidet
Recta ubique plano congruit ea in plino locari potest
quae vis lonea plana, ubiqus locari pt in plano, seu pla-
a
quam ipsius extermu. ideu
5 Iua  qual s ob
problemate quo docet Euclides la duta renta ab
ud
Scuidere partem dato aequalem, quando idtieri haec potest
seu quando haec non major est; verificatur super-
positio. Neque enim aliud est quam a recta quibus superpo
endum abscindere aequalos his quae sunt supote
ponendae