Full text: Clavius, Christoph: Geometria practica

Vt NI, differentia vm- \\ brarumrectarum # ad Aa, differentiam \\ ſtationum: # Ita AD, latus qua- \\ drati # ad A F,
#### Vel ſine reductione.
Vt Onumerus, qui relinquitur, \\ ſi numerus genitus ex vmbra \\ verſa in rectam ex quadrato \\ lateris dematur, # ad numerum P, qui \\ ex vmbra verſa BE, \\ in latus AD, produ- \\ citur: # Ita Aa, \\ differẽ- \\ tia ſta- \\ tionum # ad AF,

producetur AF, altitudo in partibus differentiæ ſtationum Aa, & c.

4. Iam verò ſi diſtantia FG, à turri ad ſignum G, in Horizonte viſum nota
fuerit, facilius per vnicam ſtationem in A, factam altitudinem coniiciemus. Nam
ſi vmbra recta DC, ſecetur in E, vt in 1. figura: Fiat autem.

4. ſexti.
Vt vmbra recta D E, # ad latus A D: # Ita diſtantia cognita FG, # ad A F,
4. ſexti.

Vel quando vmbra verſa BC, ſecetur in E, vt in 2. figura; ſi fiat.

Vt lat{us} A B, # ad vmbram ver- \\ ſam B E, # Ita diſtantia cognita \\ F G, # ad A F.

effi cietnr nota recta AF, in partibus diſtantiæ F G, à qua ſi dematur latus quadra-
ti AD, notum in eiſdem partibus diſtantiæ F G, nota relin quetur altitudo DF.

Qvod ſi dio ptra per C, tranſeat, erit diſtantia F G, altitudini AF, æqualis. Dempto ergo latere quadrati AD, altitudo turris DF, cognita fiet.

124.1.

6. primi.

Hoc idem problema in ſcholio ſequentis problematis abſoluemus per vni-
cam ſtationem.

ALTITVDINEM turris vel montis ex eius ſummitate per duas ſta-
tiones in haſta aliqua erecta factas, inueſtigare per quadratum, quan-
do ſignum aliquod in Horizonte videri poteſt.

125. PROBLEMA IX.

146-01

1. Qvando in ſummitate non eſt pla-
nities tanta, vt in ea duæ ſtationes poſsint
fieri, erigatur haſta aliqua in qua duæ ſta-
tiones fiant. Vt ſi altitudo inueſtiganda
ſit d F, erigatur haſta d A, & centro dio-
ptræ applicato ad haſtam primum in a,
deinde in A, inſpiciatur ſignum aliquod
G, in Horizonte per radios a G, A G, ſe-
ceturque primum vtraque vmbra recta in
H E, vt in prima figura problematis 3. quam hic inuerſo ordine repetiuimus. Nam vt in præcedenti problemate dixi-
mus, in hac inuerſione D C, fit latus vm-
bræ rectæ, & B C, verſæ. Si ergo, vt in
problemate 1. demonſtrauimus Num. 1. fiat,

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