Clavius, Christoph, Geometria practica

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10171LIBER SECVNDVS.
gignetur longitudo optata C E, in partibus differentiæ ſtationum H E, vel F G,
&
c. Quod ſi rurſus fiat,
11
Vt H E, differentia Tangentium \\ angulorum obſeruationum # Ad FD, ſi- \\ num totum # Ita H E, vel F G, differen- \\ tia ſtationum # ad F D,
inuenietur recta F D, à qua ſi tollatur ſtatura menſoris A F, reliqua fiet altitudo
turris A D.
2. Sediam ex duabus feneſtris F, G, inſpiciatur extremum E, per angulos
CFE, CGE, ducaturq;
FH, ipſi GE, parallela. Quoniã igitur angulus C F 2229. primi. angulo CGE, æqualis eſt: ſi ponatur ſinus totus C E, erit C G, Tangens anguli
CEG, complementi minoris anguli obſeruationis G, &
CF, Tangens anguli
CEF, complementi maioris anguli obſeruationis C F E:
at F G, differentia ſta-
tionum, hoc eſt, interuallum inter feneſtras, differentia erit dictarum Tangen-
tium.
# Quamobrem ſi fiat,
33
VFG, differentia \\ Tangentium cõ- \\ plemẽtorum an- \\ gulorum obſer- \\ uationum, # Ad CE, \\ ſinum to- \\ tum # Ita F G, diffe- \\ rentia ſtatio- \\ num interfe- \\ neſtr{as}, # ad C E, \\ longitudi- \\ nem pro- \\ poſitam,
35[Figure 35]
cognita erit longitudo CE, deſiderata. Et ſirurſum fiat,
44
Vt F G, differentia \\ Tangentium com- \\ plementorũ angu- \\ lorũ obſeruationũ # ad G C, Tangen- \\ tem complemen- \\ ti minoris angu- \\ li obſeruati # Ita F G, ad GC, \\ differentia ſta- \\ tionum inter \\ feneſtr{as}
inuenta erit altitudo G C, à ſup eriori feneſtra ad baſem, in partibus differentiæ
ſtationum, cui ſi addatur portio GB, à ſuperiori feneſtra ad faſtigium vſque, to-
ta turris altitudo BC, non ignorabitur.
3. Sine auxilio numerorum procedendum eſt, vtin ſuperioribus.
LONGITVDINEM rectæè directo menſoris poſitæ, cuius extre-
mum vtrumque, vel alterum non appareat, niſi ad dextram, vel fini-
ſtram accedat menſor, per quadrantem comprehendere.
PROBLEMA XII.
1. Sit longitudo A B, & menſor in extremo A, conſtitutus videre non poſ-
fit alterum extremum, niſi ad dextram ſiniſtramue
36[Figure 36] recedat vſq;
adD, punctũ, è quo vtrumq; extremũ
cerni poſsit.
Eritigitur longitudo AB, menſori in
D, exiſtenti poſita in tranſuerſum.
Quare ea per
problema 10.
inueſtigabitur.
2. Eodẽ modo, ſi mẽſor exiſtat in C, è directo lõgi-
tudinis, ſed vel neutrũ extremũ, vel alterũ

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