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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285273EPISTOL AE. genter inſpexeris, omnis tua dubitatio euaneſcet. in qua figura apertè vi debis cor-
reſpondentiam talium triangulorum inter ſe, nec magis, nec minus quam in infra-
ſcripta hic figura cernere licet, quamuis in hac, triangula quadrati, ſeparata ſint ab
imaginarijs .A.E.V. et .A.E.I. in ſupradicta vero coniuncta, & inuicem communican
tia in puncto .u.i. quod quidem nihil refert.
Dempta igitur .a.e. minori ex .a.e. ma-
iori, reliquum ita ſe habebit ad .a.e. minorem, vt, V.I. ad .I.E. quod nunc tibi
clarè patebit.
Vnde ex te poteris ordinem operationis proſequi, vt in cognitionem
peruenias ipſius .I.E. ipſius .A.E. & ipſius .I.A. vel .V.A.
311[Figure 311]
Sed quando in proximiori ſtatione latus .b.c. in remotiori vero latus .c.e. ſecatur à fi
lo (pro ſecunda dubitatione)
Tunc oportet imaginatione conſiderare latus .b.c. in
re motiori ſtatione diſtentum eſſe vſque ad filum in puncto .n. vbi videbis triangulum .
u.b.n.
ſimile triangulo .A.E.V. ita vt .i.b.a. ſimile ſuo .A.E.I. reperitur, vbi tam in vno
312[Figure 312]

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