Clavius, Christoph - Geometria practica

Clavius, Christoph, Geometria practica

Table of contents

[51.] COROLLARIVM I.

[52.] COROLLARIVM II.

[53.] PROBLEMA II.

[54.] 2. ITEM ſi fiat.

[55.] ALITER.

[56.] Ergo ſi fiat,

[57.] Si igitur fiat.

[58.] COROLLARIVM I.

[59.] COROLLARIVM II.

[60.] PROBLEMA III.

[61.] ALITER.

[62.] PROBLEMA IV.

[63.] ALITER.

[64.] ALITER.

[65.] COROLLARIVM.

[66.] VEL PER SOLOS SINVS.

[67.] PROBLEMA V.

[68.] ALITER.

[69.] PROBLEMA VI.

[70.] PROBLEMA VII.

[71.] PROBLEMA VIII.

[72.] PROBLEMA IX.

[73.] ALITER

[74.] ALITER

[75.] PROBLEMA X.

[76.] PROBLEMA XI.

[77.] PROBLEMA XII.

[78.] PROBLEMA XIII.

[79.] PROBLEMA XIV.

[80.] PROBLEMA XV.

9868GEOMETR. PRACT.& dioptra ad illud punctum mente notatum dirigatur, indicabunt gradus in-
ter illam ſemidiametrum, & dioptram prædictum angulum reliquum. Si deni-
que altera illa ſemidiameter præcisè in C, tendat, angulus C G D, rectus erit.
Quia ergo in triangulo G C D, obliquangulo latera nota G C, G D, continent
angulum notum G; cognoſcetur latus C D, per problema 12. triang. rectil.
cap. 3. lib. 1.

2. Absqve numeris facile problema ſoluetur, ſi fiat angulus G, æqualis
ei, qui per Quadrantem obſeruatus fuit, & in rectis G C, GD, ex inſtrumento
11Problematis
ſolutio ſine
numeris. partium tot particulæ ſumantur, quot palmi, aut pedes in diſtantiis G C, GD,
inuenti ſunt, & c.

1. Sit exquirenda longitudo A B, hoc eſt, diſtan-

31[Figure 31] tia inter A, & B, etiamſi puncta intermedia ſiue propter
tumores interiectos, ſiue propter valles, cerninequeant,
dummodo in extremo A, exiſtens menſor, vel in aliqua
altitudine cognita ad planum, in quo linea A B, perpen-
diculari, ita vt A C, ſit vel ſtatura menſoris, vel haſta ali-
qua erecta, vel turris. Inſpecto extremo B, obſeruetur angulus C. Et quia po-
ſito ſinu toto AC, diſtantia AB, eſt Tangens anguli obſeruati C: ſi fiat,

22
Vt ſinus totus \\ AC, # ad AB, tangentem anguli \\ obſeruati C. # Ita AC, ſtatura menſoris, \\ vel altitudo nota, # Ad AB, longi- \\ tudinem.

procreabitur longitudo A B, in partibus altitudinis notæ A C. Quæ per ſolos
334. Triang.
rectil. ſinus etiam producetur, ſi fiat,

44
Vt ſinus anguli B, com- \\ plenti anguli C, ob- \\ ſeruati # Ad AC, ſtaturam menſo- \\ ris, vel altitudinem no- \\ tam # Ita ſinus angu- \\ li C, obſerua- \\ uationis # ad AB, longi- \\ tudinem

2. Sine numeris eadem longitudo AB, cognoſcetur, vt in præcedentibus
55Solutio pro-
blematis ſine
numeris. dictum eſt: ſi videlicet ex inſtrumento partium accipiatur A C, tot particula-
rum, quot palmi, pedeſue in altitudine AC, exiſtunt, conſtituatur que angulus
obſeruationis C, ac tandem ad AC, perpendicularis excitetur AB, & c.

LONGITVDINEM, ad cuius extrema accedere non liceat, dum-
modo ea appareant, & ipſa longitudo producta ad pedes menſoris
pertingat, ex altitudine aliqua nota dim@tiri:

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