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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 152v, page id 00068195:0304
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Jam et superficiem demispraeri,
necessano minorem Cylindrica
cludatur. Cylinder est ax Ergus emiphaeri
est 2aY. dividatur per dinictium radiis; a. + a
producetur x 1x superficiis sciluet Hemi spheri.
Erit ergo superficies Gglindica. Hemissheric aequalis Ergo non ut quadralum ad Quadrante
n
u
vespigemus
E 
eni
gugererans gan
adGenerans
sphaeram.
ut Generatum
ad Gameratum
Ergo ina diametro posita a. ejusu quadrato
q
Erit circulus 2a. dividatur semiradium,
du quartam diametu,  partem, a producetur
8a Ergo diametio posita 1. erit circamferentia 8
3 Ergo ratio forea quae 8 ad 3. quod est d
absardum.
se lunula quadrabilis cricanagatur circa
axem suum, id est, diametrum circuli arcus
exterioris productum est dimictum sphaerae
su diametri dicti arcus exterioris. Ergos
segmentum setragoni (differentia interninulam
et remicirculum arcus extenoris) circa chordem
Quam volvatur fusum pro ductum erit semi-
dimidium sphaerae circuli dimdii
diameter
poadintum est ad cirrumferenticem, nt
quadratum ad circulum subra euius diamete
se dragonalis quadiati
Rad
= quadr
crcunf super f. cyl.
Bad. = circumf
quadr superf. eyl.
Rad Quadr.
circumf.  superf. Cyl. Quad circums. 
Radius est ad quadri cylndii generans
ut circumf. ad circit superf cylindriae quasem
superfa cylR ad Ancpiontus coliede esto radi ille latus quadruli, idem ergo
aequalis
Quadrc circumf.
lati quadrali euctum in Gicumferentiam
generabit Circulum. Ecce specimen rationis
inter heterogenea
Circumferentia demto radio est ad Circulum superficiei
Cysindricae aequalem, demto quadrato cylindium generante
ut Radius est ad quadratum ponaturratio Radi
ad quadratum esse ipse radius. Ergo ciculgille +quadmplcatum c
demto quadrato, seu segmentur retragorum fiet
ex ductu radii in differentiam a sua circumfeentia
Esto ciref. radius a. circumf. X. circulus superficiei
Glindricae aequalis bqe. Rectangulam cylindim generan
C. Ratio  iter Btum B radium C. = Z-c
c- a
Eapo E +.C, = b7 ergo XC = ac  0 = b y
X
lenc
cn de= 27
Xna ergeeit a- Ego  Z = x Erpo e - ne Ego bae
cylini
+criculo duplo enscripti
Euce usum rationis per
mulateo etiam in hetero
geneis
Ergr ut est iru
qualibet aeit
superficie, cylindricae
aequalis, ita est g recta
tutum ex radio da
et radio Cericuli superfici
eae
Drectansulum cntindum
generans qua ruper
m esta2b.