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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 3
# Folio 12v, page id 00068205:0024
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half.
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# Lines: 52 recognised, mean confidence 0.80
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 quaanque potect corsiverari ut polyaonum indefinitorum laterium quomnm unum
quodu satus binaam rectam indefinite gunivam conctituiti
ed a
paralleli radii colia incidant in luonam hi vel 
pelactants ut corant in unico puncto; pont notum
d ultimae
hoc in parobola fieri val honim indefinitae intarsectu
one (odina h bmgnhini hib
c
ex inilri  adadum  est
cient polygonum indefinitorum tatenum, seu ad idem
SD
enovam quam radiis reflaxi tangunt.
sic in prascnti figura omnes MB, NN, oH RW c: denotant incidentes rodior solis. Porro in hisce portionibus Parabalarum A0, OL, L hc E in toto Curivo ADL3 quoe
NB, D6, PB, AE, RF eb: rndios nflexos:
dudefinitae intersectiones fiunt in locie A. D. C. D. EF. at:
zolygonum conctat ex lincolia AB, DE, CD, DE, EF ab.
si jour dictantia MN, N0, OZ, e ch: indefinita parvae concipiants Rolygonum ABCDEFal
regascritabit lumnam, cujus rodius arflexi NA, OB, ZC, AD eb: erunt tangentae d contra
c
c
cimnna quae cunus trugils ab indefinitia linera rectia potect concigi, iic daterurinato esa
ab indafinitia intersectionibus harum
ropositio a. 3heor:
Eit cumno DRE vertum dAHE
Linea L quae augulor LHR et  H5 aegnalea facit tangena erit cungue
e
ex evolatione descriphe AHE, in puncto H ubi incidem SH~
reflaxa RH concunnunt (vid. Fgin.)
Demonetratio
 Hic duo adunam quae jam dudim a Ma–
tematicie demonctrata; um
12c
num (vidifie: 2) E; gd si curv cil ADG e ex dato puncto D omna
BDD DH, SEdEI, DF dFK et: tmpen sint conctanti gnanbita
aequa la. ad hoec euuva sit prlta Larabola.
Edo gd in prrabola ADG finca LM, iic ducta ut auguli LD8 d
s
C
HoM siut agnalae eondim tanget in puncto B
Hisca ric positie (oidi fig. 3) sint ACedC3 rectae ad angulos rector conjunct
in C e polyaonum ex lincia BC, M, M2, IC, CD; jam intelli
de
gabs tribus lataribus B, aM, MI, vic applicatim filum, ut in b asix
affigeum sit; in I autem coniriats sic evolvi prout hoc in a
.
definitione de evoluta quamunue octandi; dico emrivam quae
hic extali avolutione describats AOL1 conctare ex tibus
X portionibus AD, OL, L3 Tua varum Parabolicarum quae
no cantriae habent tio puncta B, _M. ad vic ortendo
Dum enim filum sic volvits temper rectae MKVKH aeguant
recta lineae MI usus ad guarchimet, ubi Mitidaeti rectam lincam