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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 79, page id 898203430:0107
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=107
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ORDINATTOIYM COHIC. LIMITIBVS LIB. I.
firx; hoc est, ducto ex vertice B quolibet ramo BA, ipsique crecta nOr-
mali AK, et per A ordinaca AC vsque ad F. lipsim C HL D producta in
I: ipsam C A normali AK aequalem esse.
lunsatur regulatrix DF, guxe producta cum CL, a puncto (7 ipA BF
aequidictanter ducta, convenide in L, de LC, F B protratraneur ad F, M,
HI, e lumatur BO aequalis recto laceri BF,
Ouum sic enim, ex Hypocheli, disferencia incer DB, BF, vel intet DB,
BO, hoc est DO, ad DB (ex constructione) veDB ad D C, exit con
verrendo, ee per convertionem rationis D B ad B O, seu ad BL, vel
DC ad CL ve eadem DC ad C B: quare (3L, OB lune aequales,
Fic quoniam quadraium B E ad rectangulum.
CB D, habet rarionem compolicam ex ratione
lineae BF ad BC,, Tive ad GL, ipAt BC aequa-
lem modo otenlam, ee ex ratione ciuldem B F.
2dBD, siuc GL ad GD, de racio BF ad C V
componitur ex ijldem rationibus, ergo quadra-
tum BF. ad rectangulum CBD est ve linea BL
ad GD, Sed BE est rectum latus FllipIS CHD.
CD vero eius cransuerlum, ex constructione, d
rectum ad cranluertum est ve a quadratum seu
miordinara BII ad rectangulum C B D, ergO
quadracum B F. ad reccangulum C B D est VE
quadratum BEI ad idem rectanoulum C B D.
quadrata igitur BF, B II sune aequalia, hoc est
delcripta Ellip(iS G FL D transit quoque per E cerminum recti lateris dutae-
Intuper, quoniam Fllipses DHLC, D AB sunc per eundem verricem D
Timul adcriptae cum eodem recto latere BF, exic rectangulum FI B F ad
TAM vE b quadracum BD ad D C, vel ve quadratum BF ad C F, led
permucando rectangulum H B F. aequatur quadrata BF, ergO e reCtaNOU.
b6, huius.
lum IAM quadraco C F est aequale; sed lacus C F Xquatur c ip(I C. K C 43. huius.
alcicudini normalis A K Super ramum B A, erBO d reCLAHBU, . 
. 1C1SC
d
hum Y A M quadrato C K aequale est, de communi addiu
10 quadrato AC, recrangulum L AM cum qua-
drato AC, sive vnicum quadracum LC
et
duobus simul quadcatis AC,
CK, vel rnico quadrato
A K aequale
exic, dC
ideo
semiordinora C L in deleripra EslipsI G. ID ∞.
qualis ipsi normali AK super ramum
5
BA ex verrice B datae F. Iipsis
ductum, et sic de lingulis, dec.
duare concauum F.lliplis GHD est
Eimes Ordinationis propolita.
u Duod etac, eco
e
prim