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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 82, page id 898203430:0274
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82
VINCENTM VIVTANI DE LOCIS SOLIDIS
CNE LOCUM pEOpOTITUM: hOc es ordinatam C D esse mediam Arithmeri.
CaI INEEF DArteS AC, CB.
Hoc non alia indiset probatione.
QUAM GuOd SUMMIA CXFFCMATUIM AC,
CB aequalis est duplo medix CD
inter caldem, ex constructione, er
80. ex definitione. CD est media.
Arichmetica: de sic de lingulis similiu
bus ordinatis. Duare P. L CA Locus
propolicae Ordinationis. Ouod dc.
PROPOSF FIO XXVIII.
Ocus mediarum Prithmericarum inter coaaullas
quascunque datae, C5 ad ipsam ordinatarum, est
Locus planus, nempe recta angulum semirectum con-
situens ad punctum bisecans datam adt partem eiusdem.
GTE AB dua linea, A C vero, d CB conddicae, sectaque AB bitariam
D in D hac angulus CDE. semirectuS. Dico rectam DF. ese Locum
propotrum: nempe ordinatam C L.
esse mediam Arichmericam inFeF CO-
additas AC, CB.
Patet id, quum ob angulos semi-
rectos ad D. E, C C F aequalis CD,
quae media eA Arichmetica inter CO-
additas A C, C B: nam prima
disterentia ad secundam, nempe AD A
2d D B est ve prima magnicudo ad
primam, vel ve AC ad AC, ergo
e C P es media Arichmerica inter caldem; &e Rc de linoulis smilibus
ordinatis: quare DE. CH Locus propolitae Ordinarionis. Ouod erat demon.
Arandum.
des
EHe.