Clavius, Christoph - Geometria practica

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147117LIBER TERTIVS.11
Vt H I, differentia vm- \\ brarum rectarum # ad A a, differentiam \\ ſtationum; # Ita d H, vmbra \\ recta maior # ad AF,

nota fiet tota recta AF, ex quaſi dematur portio haſtæ A d, quod duo quadra-
ta occupant, cognita fiet reliqua altitudo d F.

2. Si vero in vtraque ſtatione vmbra verſa à radijs interſecetur, vt in 2. figu-
ra problematis 3. hic repetita ordine inuerſo, & fiat,

74[Figure 74]22
vt I E, differentia vm- \\ brarum verſarum, # ad Aa, differentiam \\ ſtationum: # Ita B E, vmbra ver- \\ ſa maior # ad AF,

pro dibit recta A F, ex qua ſi detrahatur portio haſtæ

75[Figure 75] A d, à principio primi quadrati ad finem ſecundi, re-
33Ad ſiniſtrum
angulum in-
feriorem, in-
ferioris qua-
drati, poned liqua d F, altitudo fiet quo que nota: veluti in pro-
blemate 3. Num. 3. oſtendimus.

3. At ſiin vna ſtatione ſecetur latus vmbræ rectæ,
& in altera latus vmbræ verſæ, vtin 3. figura proble-
matis 3. quæ inuerſa huc translata eſt, reducenda erit
vel recta vmbra ad verſam, vel verſa ad rectam. Nam
vt in problemate 3. Num. 5. oſtendimus, ſi fiat,

44
Vt I N, differentia vm- \\ brarum ſiue verſarum, \\ ſiue rectarum, # ad Aa, differen- \\ tiam ſtationum: # Ita B N, maior vmbra \\ verſa, veld N, maior \\ vmbrarecta, # ad AF,

effi cietur nota recta A F, ex qua ſi dematur portio haſtæ A d, nota relinquetur
altitudo d F.

4. Qvod ſi turris eſſet A F, & ex duabus feneſtris d, D, obſeruatio fieret,
deprehenderetur eo dem modo altitudo turris A F, vt patet.

SCHOLIVM.

1. Qvod præcedentia duo problemata per duas ſtationes ſiue in plano
ſummitatis turris, vel montis, ſiue in haſta aliqua erecta factas docuerunt,

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Scan	Original
51	21
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