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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 178r, page id 00068198:0355
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Ouaratura et tugonomema epe curvae circino in cylingo deriatae septembir. 1677
designata
et hnu provontione inplano
entro puncto in cylindio assumto, radio quolibet AB
BCDEF
describatur peripheria super charta cylindio applicata
Charta postea explicetur in planum, quaeritur qualis
prodeat curva. Prima specie aliquis Ellipsiu esse putet
sarcu
sed non est. Qualis sit ita ostendemus AH, est pontro circuli
basi cylindri patalleli. Ht est recta quae ut aliae parallelae
 GC. KD, postea explicatur in rectum.
punctum aliquod perpheriae
et CH est recta ex peripheria in cylindio ducta, usque ad 
circulum cylindri nobis primarium,
per centrum assumtum transeuutem
eadem semper recta manet, in cum charta explicatur. Recta
AC, est aequalis ipsi AB. cogitanda est autem per solidum cylindri trajici
vt et recta AH, quae est Morda arcus A H.
Cum pria puncta
AHiC. sint in eodem plano, et recta, cH, sit perpendicularis ad rectam
AH, erit planum AHC triangulum, AC vocemus aequalem AB nocemus
b. et dam circuli AH, Hordam arcus AH, vocemus V2aX. posito
a esse radium cylindri seu circuli qui ejus sectio est. et X esse sinum
versum arcus seu sagittam arcus AH. erit CH p,V b - 2aX atque ita
smper quae longitudo permanet explicuta Marta, at, ipsa curva
4 1t ra seu arcus AH extenditur in rectam, Nam in fig. 2
ficit
liu
ego
erit
erit AB, et (H)C, aequalis ipsi AB eb (A+ C fHC
figurae I. sed A(H) erit aequalis non rectae AH figurae 1.
sed ipsi arcui in rectum exteniso
at autem arcus
inbencum non est opus charta circumplicata
uno provori
vestigium crauli in cylindro)
ax
aux
V2ax X
adx
Areufigurae
Nb-raxdX
Srax. X X2aX-
 relicrum dabit curjam quaesitam
curva propositu si una corrdinatarum sit b rax, altera
atx
azax.
Hinc elegans habetur ratio ope hujus papyti
instrumenti ex data chorda inveniendi arcum vel contra, scilicet
ex angulis latera et ex lateribus angulos
Nimirum descripta
cu circulo supra peripheria super charta cylindio satis magno
applicata, e radio quolibet; detrahatur quadratum Mhordae datae a
radio isto novo residui radio ponatur in AN. unde ducta perpendiculaus
peripheriae explicatae occurrens in C erit arcus chordae ditae quaesiti
e
contra sit arcus datis AH), qaeritur horda (ratio scilicet ejus ad circum ferentiam
NC
AP) C(H) erigatur pergendicularis (HC, ab hi hgjus detrahatur a quadrato
quadratum
In Eimcita
rndii descriptoris. e residua erit aMorda quaesita
Refer ad
fis
Ad cutrum