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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 25, page id 73061350X:0033
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t
proutdata Fucrinccomensurabiles rel in commelurabiles.
33. Dacum parallelorrammum laterum (vet
revera, vel. quantum. ad senlum) commenlurabilium
(hoc est. cujus contermina. latera sunt commensurabilia) par al.
Leloerammo, super communem laterum enturam
Constructoetir.
Laceribus in parres communi menturae aequales lectis,
connectaneur ordinelectionum puncta, in oppolicislaceri-
bus exictencia. Rectx connectenteslacerib. Parallelogram-
miparalela erune, es parallelosrammum inmerasincer se
consruasparallelogrammas areolas (quae rel quadrata, rel
Phombierune) dissecabumi quirum quaeris proinde dacum
Parallelosrammum secundum omnium arcolarum nume-
TIIM METICEMF.
DeF. 97. SiFuerine quoceunq; magnicudines commen-
Turabiles, commenturalis cujusq; numerus, diciturn-
merus, secundum quem eadem communis menturaunam
NGLIAIGS METIEUIE.
27. Si propoliti parallelogrammi ABDC concermina
lacera BA, AC Fuerinc commenturabilia; parallelogram-
mum sibi quidem aequilarerum ipsirero ABD C. Equianou.
lum, supra communem eorundem laterum menluram EF
constructum nimirum E.FCFE,meciecur propoticum paral.
leloxrammum ABD C. secundum numerum productum ex
nulriplicacione murua numerorum commenturatium.
COrOIL. I. Ouadratum communis menturae laterum rectanes
liconterminorum, metitur ipsum producto meeno e commensuralibus
laterum eorundem.
2. Rbombus obliquangulo paralleloerammo aequiangulus; supr
communem laterum mensuram constructus, metitur ipsum parallele
Brammum productoe commensuralibus laterum eorundem.
3. Quia