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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 115, page id 898203430:0307
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=307
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11
ADDEHDA LIBRO I
Ad pa5. Gl. Pos   n L1s. 37. adde quae
numbut setotia.
CHOL HV
ls
sulo lub mecia arichmerica, e media harmonica inter Catucus
sicque idem rectangulum sub exrremis daris aequale quadrato mecia
seometrica inter caldem datas; erit etiam quadrarum medix seo-
metricx incer exrremas dacas aequale rectangulo sub media arict.
metica, ee media harmoniea incer caldem.:
Eu. Ouum sic rectangulum tub exrremis daris aeguan rectan.
dbOL 1VA
BB; eric duplum rectanguli lub extremis AB, BC, aequale dupla
rectansuli sub media arichmerica BD, in mediam harmonicaru BF;
hoc est, erit aequale unico rectangulo sub lumma exrremarum AB.
BC (quae est dupla medix arichmnerica BD) in iplam mediam hur-
monicam BF..
Tidem. Ooum rectangulum sab extremis daris AB, BC tic xqu2.
le rectangulo sub media arichmerica BD in mediam harmonicam
CH OLIVM, III.
Anllem. C caplum rectanguli lub exrremis datis masnitu.
sub Cumma dacarum in meclam honicam incer datas; hie carim
habemus demonstrarionem sequeneis Canonis, per quem expedice
repeTiri queEnumerus, qui sic medius haeniomieus incer auos quol.
cumque dacos. Oui calis est, nimirum.
Duplum prodiels cacoram Bonictorum dividatur per Cummam ip.
lorum, ee quoriens erit quaelitus medius harmonicus; nemperatio in-
ter daros primum, ex cerrium erie eadem ac rario diferentix inFCF
primum dacum, ee medium inventum ad differentiam incer medium
inventum, ec cerrium dacum, ut apparet proximo exemplo.
Propolitum siC inter numerOs datoS 17, ee 5 invenire medium
harmonicum.
ipsi dari 17, ec s mulcipliceneur simul, _ Het 85, qui duplico.
tur, et hec 170, qui dividatur per dacorum lummam, quae elt 22,
de quociens est7, qui demum erie medius quaesicus inter datos
17, _ 5
dinibus sic aequale, uti nuper oltensum est, unico rectangulo
Nam