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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137125DE PERSPECT.
Ad cuius rei ſpeculationem, imaginatione con
188[Figure 188]CORPOREA. cipiamus lineam .b.c. corpoream, protractam eſ
ſe vſque ad .y. lineæ .s.n. & imaginatione ſit com
præhenſa linea .y.o. et .b. R. parallela eidem, ideo
ob rationes iam dictas de figura .A. hæ tres li-
neæ .o.y: i.c: et.
R .b. ſimul cum linea .o.b. erunt
in vna eademq́ue ſuperficie plana, quam cha-
racteribus .y. R. notemus .et .i.c. eius erit ſe-
ctio communis cum plano, in quo quæritur pun-
ctum
, et .f.k. ipſius plani cum triangulo .o.b.m.
erit ſectio communis, & parallela ipſi .q.d. ex .
6. lib. 11. quia .k.f. perpendicularis eſt ſuperfi-
ciei .p.t. ex .19. eiuſdem cum triangulus .o.
b.m.
eidem ſuperficiei .p.t. ex .18. eiuſdem
perpendicularis exiſtat.
Vnde perſpicuè pa-
tet ratio quare protracta ſit parallela .b.c. et
quare ducta ſit .i.c. et coniuncta .x.m. cum .x.
p.
directè, & quare ducta ſit .o.m. et .f.k.
Lau-
do igitur vt ſemper præſupponatur .p.x. perpen
dicularis baſi ipſius plani & præſupponatur, (vt
rem totam vnò verbo complectar) ſuperficies .
p.t.
perpendicularis plano, & orizonti.
Quod
reliquum eſt, neceſſarivm non eſt, niſi ad ſpe-
culandum.
Neceſſariæ ergo non ſunt aliæli-
neæ, quàm.p.x: p.o.x.i: b.c: et .x.m. è dire-
cto coniuncta cum .p.x. (quæ .x.m. coniuncta
189[Figure 189]SVPERFICIALIS.

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