Clavius, Christoph - Geometria practica

Clavius, Christoph, Geometria practica

Table of figures

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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,

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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.

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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