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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 3
# Folio 13v, page id 00068205:0044
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Cuod autam jam in parliculari demonctrari de porti cula ne gd necestano aequats por
e
finita NR hoc idem de omnibus particulia indifinite porvaae lurvae oupi demonctrats decom
segune onei Necestorio ao eodem limna erit quam ONeI hoc E (aim ONFD
erit evoluta e hypothesin ougi euoluto eit recigroca e conctructionem Ciae afgtri BEB
Cudivar
s
Si, rodiis solie SH incidant in quamcunus cunvan i AFE sine rit
Geometrica, Mactanico aut libera mnus ducto;  sic reflartum
es ut horum intersectionae eimnam efficiant BRE; Diro gd iodius in
cidens 8H d reflexus HR dimul mmphe oguantes cimvre portioni RE
guae intercigits inter punctum danigontia Red punctum 2 contactus
Dem:
Solis enim Rudis incidentaae sit (qui porallali concigiunts ab omnibus Mathamodicium)
t
de dj
et refcex. HR efficiun anguloi aegualas SH ed LHR (grout ex diophicis notum) nondi
enur autem reflactoxorum intersectionas efficiunt (jupta: 6axio:) Cuavam BRE qua
ubiu tangits a reflexiae rndjs; HRF in R; hinc ideo enuva hac (juxto 2: proposi) evolum
ta arit enuivae AHE in qua (juxta vaxio) RHdHR aeguants cura portioni AE, Et
d.
Conrolarium
c
hinc integra Cuava BAE ex reflexorum rodionum intersectionibus determinata aequo
sii eut (jupta a ax.) rectio est o A.
e
Propositio ata Rroblani
Exhibet Mathodum Generalem qua rationa Dato lumua Crecua
HGFE modo natina ejus aegnatione aligua posiit expium (sive limva
vumr portionae ingradiants velubi in Mechanicie vic dictia siva non)
omnia ejus uncta respiciente, hinc semus determinari poscit avcoluta
XIE
cd
mo:Solutio
sint duae incidentas quae cunus rectae DF deqs reflexi FI DGi in certo puncto concimient
1data iloque aeqnatione quae liuvae HGFE naturam exrinrit a dictantia et meval
sano semo cum punctum i determinatum aegnatio invenits quoe indeterminatus AB
c
BI d dictantiam CD includeti; in itoqus in hoc aegnatione CD aegualia ponals nihilo et
omnas termini ideo e eandem multiplicati arferants obtinebits aequatio in qua
rectanum ASV BI relatio adiivicam exglicabiis hoc e lojus determinabits omnium in
terfactionem l qua vic a duobus reglexie, in definite porvo nitrr vallo dictantibus fiunt 
A consequan Cuuivae KIE natuma data scu detenminata ait E. duvendardem:
Corro Prov. ota Probl: larium
hinc data cunva Geometrica HGFC inveniets quoque luova Geometica
po evoluta KIC quae ad proinde tam integra quam quo ad omne
portas erit Mensumabilie f3d + axio:
Propos. sta: Proble:
e
AiKco
e
Dato qua drante circuli smmiia evolutam OHG seu curnam ota
determinure quae in Sgeclia Spharicie rs conoburentibus fon
m ab intersectionibus reflaexonum rodiorum holis
Solutio