Clavius, Christoph - Geometria practica

Clavius, Christoph, Geometria practica

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8858GEOMETR. PRACT.

inuenta erit altitudo F A, in partibus differentiæ ſtationum, cuiſi adij ciatur F B,
11Altitudinis
inuentio per
Tangent{es}. ſtatura menſoris, tota altitudo AB, nota euadet.

2. ITEM ſi fiat.

22
Vt G M, differentia Tangen- \\ tium complementorum an- \\ gulorum obſeruationum. # ad G E, diffe- \\ rentiam ſta- \\ tionum: # ita G L, Tangens \\ complementi angu- \\ li obſeruationis in \\ remotiori ſtatione # ad \\ G F,

effi cietur nota G F, diſtantia maior, quando quidem paulo ante demonſtratum
33Diſtantiæ in-
uentio. eſt, eſſe GM, ad GE, vt GL, ad GF. Quod ſi ex GF, inuenta detrahatur GE, dif-
ferentia ſtationum, nota relinquetur EF, diſtantia minor.

3. Si per ſolos ſinus dimenſio inſtituatur, inueſtiganda primum erit alteru-
4432. primi. tra hypotenuſarum GA, EA, vel vtraque. hoc ſcilicet modo. Quoniam an- gulus A E F, duobus G, G A E, æqualis eſt, ſi angulus G, in remotiore ſtatione
tollatur ex angulo AEF, in ſtatione propinquiore, reliquus fiet angulus GAE,
differentia inter duos angulos G, AEF obſeruationum.

5510. triang.
rectil.66
Vt ſin{us} anguli G A E, \\ differentiæ inter duos \\ angulos obſeruationum # ad G E, dif- \\ ferentiam \\ ſtationum: # ita ſin{us} anguli A G E, \\ vel \\ it a ſin{us}(anguli G E A, \\ complementi)anguli \\ A E F, ad duosrectos. # ad AE, \\ ad G A,
77Hypotenuſa-
rum inuentio.

nota fiet tam A E, quam A G, in partibus differentiæ ſtationum.

Si igitur fiat.

8810. triang.
rectil.99
Vt ſin{us} to- \\ t{us} anguli \\ recti F, # ad rectam \\ E A: \\ vel \\ ad rectam \\ G A, proxi- \\ mè inuentam # ita ſin{us} anguli AEF, in pro- \\ pinquiore ſtatione, \\ vel \\ ita ſin{us} anguli A G F, in re- \\ motiore ſtatione # ad A F, \\ ad A F,
1010Altitudinis
inuentio per
ſolos ſin{us}.

gignetur altitudo A F, & ſi adiungetur F B, ſtatura menſoris, tota altitudo AB,
efficietur nota.

Distantia autem vtraque E F, G F, per ſolos etiam ſinus inuenietur, 111110. triang.
rectil.fiat.

1212
Vt ſin{us} \\ tot{us} an- \\ guli recti \\ F. # ad hypotenu- \\ ſam E A. \\ vel \\ ad hypotenu- \\ ſam G A: # ita ſin{us} anguli E A F, complementi \\ anguli in propinquiore ſtatione, \\ vel \\ ita ſin{us} anguli G A F, complementi \\ anguli in remotiore ſtatione. # ad E F.
1313Diſtantiæ in-
uẽtis per ſo-
los ſinus.

24[Figure 24]

4. Sine numerorum multiplicatione ac diui-
1414Problemaque
pacti ſi ſine
@ imeris ſol@
uatur. ſione eadem inueſtigabuntur, ſi illi figuræ, quam ab
oculo menſoris ad altitu dinem vſque concepimus
eſſe conſtruendam, ſimilem omni diligentia conſti-
tuamus, vt Num. 6. & 8. præcedentis problematis 1.

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