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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 55, page id 898203430:0247
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=247
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VARTAR: DISPOSTTIONVM LIMIT. LIBEK III.
ad partem anguli acuri BDC, vel intra basim A C, vel extra, vel in
iplum punctum C.
Ouicunque tamen sic calus, in criangulo obculangulo ADB, quadratum
lateris AB excedit quadrata simul AD, D B duplo rectanguli ADF, de
in eriangulo acurangulo BD C. quadrarum lateris BC deticie a quadratis
CD, DB Ciiidem AD, DB, aequalibus) per duplum rectanouli CDF, vel
per idem duplum AD F C quum AD. CD sine aequales) quare duo (i-
imul quadrata AB, BC aqualia TUINE qLaTOT Simu Lquadratis AD, DB,
CD, D B: nimirum duobus A D cum duobus D B. Ouod CFAE _EC.
PR OPOSIT1O VII.
Ocus, ad quem conveniunt quotcunque paria
linearum potentium simul quadrata aequalia, atque
ex terminis ejusdem data recta emissarum, est LOCuS
planus, nempe concauum C irculi peripheria.
Oc neceltario lequitur ex sui converto, ita prOpotito, ac demott
AratO.
Si in Temicirculi ABC diametro AC, inera, vel ex, IIIIPEa SUICKM
duo puncta F, F, 2 cenero D aequaliter verinque distantis, ee ad periphe.
riam AD C, cuius vercex B, ducta sine quorlibet  atuI Baria F B,
BF; EC, C7F _C. Dico horum quacrata inter le aequalia esse.
Facile id patet ex praecedenti Lemmate. Nam iunctis radiis DH C
octensum est in triangulis F B F, F. C F C in quibus a puncto D balim
FF bilecance ad eorum verrices B, C, ducae sune linex D B, DC) ue
quadcata simul laterum E B, BF aequalia esse duplo quadrati L.D cum
duplo quadrati D B: cademque rarione duo simul quadrata laterum PC,
CF aquari duplo eiusdem quadrati F. D cum duplo D C, sed duo FD
Cum auobuS DB EQUaNEE duobuS F. D cum duobus D C C quum D B,
DO  aequalia) erso e duo EB, B F duobus FC,, CF aequalia sUnE.
Tinc