Clavius, Christoph, Geometria practica

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11181LIBER SECVNDVS. prodibitrecta DB, nota, vtproblemate 4. oſtendimus: ex qua ſi ſubtrahatur
ſegmentum
haſtæ AD.
inter orificium, & oculum in prima ſtatione, reliqua fiet
profunditas
, ſiue altitudo putei, velædificij AB.
3. Si per ſolos ſinus operarilubeat, ita agendum erit. Quoniam 2232. primi. maior obſeruatus BDC, duobus angulis E, DCE, æqualis eſt; ſi angulus E,
minor
obſeruatus tollatur ex maiore BDC, notus remanebit angulus DCE, dif-
ferentia
angulorum obſeruatorum.
Igitur ſi 3310. triang.
rectil
.
44
Vt
ſin{us} anguli D C E, \\ differentiæ angulo- \\ rum obſeruatorum. # ad D E, differen- \\ rentiam ſtationũ \\ oculorum: # ita ſin{us} anguli \\ E, minoris ob- \\ ſeruati # ad D C,
proſiliet nota hypotenuſa D C.
Quapropter ſi rurſum 5510. triang.
rectil
.
66
Vt
ſin{us} tot{us} \\ anguli re- \\ cti B, # ad hypotenuſam \\ DC, proximè in- \\ uentam: # ita ſin{us} anguli BCD, com- \\ plementi maioris anguli ob- \\ ſeruati # ad D B,
euadet iterum cognita recta DB, &
c.
4. Iam verò ſi latitudo oriſicij AM, vel fundi BC, cognita fuerit, (Non erit
autem
diffi cile eam aliqua menſura nota metiri) facilius in cognitionem altitu-
dinis
, profunditatiſue AB, veniemus, pervnicam videlicet ſtationem in D, fa-
ctam
, hoc modo.
Fiat,
77
Vt
ſin{us} \\ tot{us} \\ CB, # ad BD, Tangentem anguli BCD, \\ complementi anguli obſeruatio- \\ nis: # ita latitudo co- \\ gnita CB, # ad DB.
Numerus enim procreatus offeret DB, notam, vt ſupra, &
c.
Vel per ſolos ſinus, ſi 8810. triang.
rectil
.
99
Vt
ſin{us} anguli \\ B D C, obſer- \\ uationis # ad latitudinem co- \\ gnitam BC: # ita ſin{us} anguli BCD, \\ complemeti anguli ob- \\ ſeruationis. # ad DB,
inuenietur rurſus DB, &
c.

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