Clavius, Christoph - Geometria practica

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10777LIBER SECVNDVS. nor FB, ex maiore DE, per problema 18. vel 19. exploranda erit. Nam rurſus FB,
detracta ex AB, notam relinquet portionem AF.

3. Non ſecus per problema 18. vel 19. indaganda erit vtraque altitudo mi-
nor F B, GB, ex maiore D E, vtillarum differentia F G, quæ quæritur, colliga-
tur nota.

ALTITVDINEM, cuius baſis impoſita ſit alteri altitudini, & vtra-
que illius extremitas cerni poſſit, etiamſi infimum punctum alterius,
cui imponitur, lateat, & eiuſdem puncti infimi diſtantia à loco men-
ſoris cognita non ſit, per Quadrantem ex valle, aut ex plano Horizon-
tis explorare.

PROBLEMA XXI.

1. Hvivscemodi altitudo eſt tur-

44[Figure 44] ris ſupra montem poſita, & portio ali-
cuius ædificij inter duas feneſtras, vel duo
ſigna, quorum alterum altero ſuperius eſt.
Sit igitur ſupra montem altitudo turris
A B, propoſita. Ex aliquoloco E, in pla-
nitie, aut valle, vnde vtrumque extremum
A, B, videatur, obſeruentur per Quadran-
tem anguli A D C, B D C, quos radij D A,
DB, cũ recta D C, quæ ex D, ad AB, pro-
ductam intra montẽ eſt perpendicularis:
ita vt ſtatura menſoris ſit D E. Deinde
per problema 6. inueſtigetur longitudo
vtriuſque radij D A, D B. Nam ſi fiat 1110. Triang.
rectil. triangulo A B D,

22
Vt ſin{us} anguli B A D, \\ qui complèmentum eſt \\ maioris anguli ADC, \\ obſeruati, # adradium DB, \\ proximè inuẽ- \\ tum: # Ita ſin{us} anguli A D B, \\ qui differentia est an- \\ gulorum obſeruationũ \\ ADC, BDC, # ad A B, alti- \\ tudinem,

inuenta erit altitudo AB, quæſita, in partibus, in quibus cognitus eſt radius
DB. Sic etiam, ſi fiat,

3310. Triang.
rectil.44
Vt ſin{us} anguli A B D, vel (quod \\ idem eſt) anguli D B C, qui \\ complementum est minoris \\ anguli obſeruati B D C, # ad radium \\ D A, proxi- \\ mè inuen- \\ tum # Ita ſin{us} anguli A B D, \\ differentiæ angulorum \\ obſeruatorum A D C, \\ B D C, # ad A B, \\ altitu- \\ dinem

pro dibit rurſus altitudo quæſita A B, in partibus radij inuenti D A.

ALITER.

2, Per problema 2. vel 15. inueſtigetur tam altitudo inacceſsibilis A

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Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
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100	70
101	71
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103	73
104	74
105	75
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116	86
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119	89
120	90

Scan	Original
91	61
92	62
93	63
94	64
95	65
96	68
97	67
98	68
99	69
100	70
101	71
102	72
103	73
104	74
105	75
106	76
107	77
108	78
109	79
110	80
111	81
112	82
113	83
114	84
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116	86
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118	88
119	89
120	90