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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 362, page id 175906937X:0386
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362
DE CONCLHNANDES
id est, reductâ proportione sire, sumpris consequentium du-
ad xequalitatem,
Plis, vide Clavium ad 22. 5ii.
AI
IB BC CD
Ex constructione est, uE a F 2 b 2d b, ita b ad x.
Principium compositionis.
Adaperta itaque tum ad Constructionem tum ad Demonstra.
eionem ria, licebit Problema construere atque duplicicer demon-
Srare, ut sequitur.
Constructio.
Producta AB ad L, donec BTAExqualis BC, AaE VF
AIad TBvel BC, ita BC ad CD: dico rectangulum
ADC ICU AD E F quactrato DB Icu D B CHI aequale
esse.
Demonstratio.
Cum enim ex constructione R F sic ad TB vel BC, ut B C ad
8 per 17 CD: erit s rectangulum sub extremis AI, C D, id cAt, B eC
seati.
n per Y se-
ctangulum (ub AC. C D una cum rectangulo sub CT, CD, p-
vundi. Quale quadrato medix IB rel BC. A quibus si commune autc-
. omumanamum. C
nmmmmummmmmmu F
ratur reCtanoulum (UB CI, C D: CHICTCHGAAIISACC
AC, C D aequale B C quadrato, delspe euem rectangulo sub
i per 3 se CI, C D, sucu, lectangulo CDLuna cum quadrato C D.
Glncaro
cundi.
k per 5 se
canai.
ccudemp DLICclatsuto a Guadrato C B vet BIEre
Lincuacu scaccacu DB. Pacet delum rectangulum AC D
ladraco DB aquale ChC IMuS quadiato C. D. Iline cum, lu-
mendo