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# Title: Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa (shelfmark Leibn. Marg. 134)
# Folio 251, page id 1066520976:0271
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ADDITAMEAPA OUA DAM.
Circulo angulus heb sic rectus, in aliis vero fguris xquerit
angulo cbp. Unde recta hc; quae inveniri debet una erie
ex applicaris ad diamerrum bc in daco puncto C, UE COnSTAE
ex harum sectionum generatione.
DEMONSTRAZLO. 10157
Deleripeis fguris, ue factum vides. Ouoniam so in cir-
culo angulus hob rectus est ex nacura circuli, ideo V vc
FLY. 2 in parabola Vop) NIY. 30 in ellyPC, et hyperbo-
la. d. P:: bc. yy. Ersobcp FLyY, ec V bcp (TLy, quoderat
demonstrandum.
SOLUTIO PROBLEMATIS EN 20 CASU.
 
PREPARATIO 22.
BCILB Termentum minus.
cd HIc Teomencum majus.
abTIqdiHFerenEIA (CGMENEOFUI
hc IIm applicata.
ha Id craulver la diamerer.
d. t. bTIn.
es reyisnOca quanricad.
i
CONSTRUCTIO.
A punctom in diameerum bedemietatur in circulo per-
pendicularis, rel in reliquis figuris parallela paramcero bp.
nempems, qua erit una ex applicatis ad diamerrum bc, et
consequenter diverla a recta mogua ab applicatarum nu-
mero excludicur proprer concelsum imparallelismum li-
nearumme, ec bp. Demum ducacur applicata B6.
5
e
DEMONSTRATIO.
Dantur omnes anguli li mes exhypocheli, e constru.
ctione, ergo datur rario omnium lacerum incer se, rideli
cex lareris es, ad lacusmf quam ponoue Zadr, ec rocopri
le BABA
Tildem qua priits
poliris, jam dacus an-
sulus mes sE MajoE,
velminorrecto in cir.
culo, vel angulo cbp
inreliquis sisuris.