Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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10088IO. BAPT. BENED. ducto .2. g. in .d.p. ex .20. ſeptimi, proptereà quòd proportio .q.o. ad .o.p. hoc eſt ad .
d
.p.
eſt vt .a.g. ad .g.n. coniunctim cum diſiunctim it a ſit .q.p. ad .p.o. vt .a.n. ad .n.g.
permutando eo quòd .q.p. ad .a.n. (ideſt ad .e.c.) ita ſe hent ut .p.o. (hoc eſt .d.p.) ad .n.g.
ex
conditionibus armonicæ proportio nalitatis.
Deinde ſi detraxerimus .n.g. ex .a.g.
remanebit
.e.c. minor terminus.
THEOREMA CXXXI.
Pro cuius ratione, ponamus in eſſe terminum .q.p. tunc ex forma huius proportio
nalitatis
nulli dubium erit quin .q.p. ad .e.c. fit vt .d.p. ad .n.g. hoc eft ad .t.c. vnde ex
19
. quinti vel .12. ſeptimi ita eſſet .q.d. ad .e.t. vt .q.p. ad .e.c.
quare ex .20. @cptimi pro
ductum
quod naſcitur ex .p.d. (hoc eſt .a.g.) in .e.c. æquale eric producto .e.t. in .q.p. qua-
propter
ſi diuiſerimus id per .e.t. proueniet nobis .q.p.

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