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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 861, page id 1815201908:0918
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d
duc
IN PL A. H N M.
864
Demonstratio.
ESCdenuo commune corpus ex superticie MIG in GO. IBIME FCSdUA COMMUHI
Lodempro sunr incer se aequalia hoc cA PML in G O, XqualC MIG, in ON, quod
erar demonstrandum.
PROPOSITIONCALII
LecHTI
DArabOlX ABC, DA E TubAIEerNA ALAEHIANEUE HADCHICES AC, BE
axes, quossecent ordinatim Dolicx FC, HL. l; Ht auteM COrpuS ex balI
C.M in alcicudinem M O, aequale solido quodbalim hâbee M N, ee alti.
Tudinem KM.
Dicocorpusemersens ex ductu plaroriim L. M, NO eglarirolido
quod Ec ex mulciplicatione superficierum KL _e M N.
Demonstratio.
DVoniAM COrPUS Cx MPT, in 2l-
Lcicudinem KM, a quacur Colidis
duobus, vni quod gereracur ex ductu
MIN in ML, e alceri quod reSUITaE
CX duCTU MN, _ PR. Deinde cum
solidum balcos LM, _ alcicudinis
MO, aequecur duabus quancicacibus
quarum rna estorca ex ductu (uper-
ACICrUM LMI, M N, e alcera produ-
eta ex ductu planOrUM LM, NO.
Ioitur si commune collatur CorpuS
verienque scilicet quod Hc ex ductu LM in M N. CAdua que remanentincer le c.
runc aequalia, hoc est LM in MO, aequabitur solido, quod brirur ex ductu RI in
M NI. Ouoderar demonstrandum.
DROPOSITIC
L nis axis in partes aecules in punctis L. LGD, ec. e ductx linvordi
nacim adarem AIL, IF, EG, AD.
Dico Corpora quae genC-
FaNEUE ex duCtUO R in RV
PS in SX, e OPin YY
inter sele essexqualla.
Demonstratio
tBro de parabola Hcontra-
Aec HIB, ridelicetO RV, PSR.
scumr inmeniesa guadraeum co-
cingentis FTF, aequale este cuinis
rectangulo quod Ac sub parcibus
cuiuscunque linca quae aequidi-
vel. OTY. quare rectangula
DOnantur dux parabolae parallele A BC, d T F Z, divisus sic commu
351
OR V. a , bet  LL. EtBDCC AHETEHNIMES POHAHEUE
aglate
1t
   it ite ta uet    it   e t e  pe t a sut ie t  e  pet  e i a  ta  e   e t t  ta  s at   e a    a      i