Clavius, Christoph, Geometria practica

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[161.] ALITER.
[162.] PROBLEMA XLI.
[163.] PROBLEMA XLII.
[164.] PROBLEMA XLIII.
[165.] PROBLEMA XLIV.
[166.] SCHOLIVM.
[167.] PROBLEMA XLV.
[168.] FINIS LIBRI TERTII.
[169.] GEOMETRIÆ PRACTICÆ LIBER QVARTVS.
[170.] AREAS
[171.] DE AREA RECTANGVLORVM Capvt I.
[172.] DE AREA TRIANGVLORVM Capvt II.
[173.] DE AREA QVADRILATERORVM non rectangulorum. Capvt III.
[174.] DE AREA MVLTIL ATERARVM figurarum irregularium. Capvt IV.
[175.] DE AREA MVLTILATERA-rum figurarum regularium. Capvt V.
[176.] De dimenſione circuli ex Archimede. Capvt VI.
[177.] PROPOSITIO I.
[178.] SCHOLIVM.
[179.] PROPOSITIO II.
[180.] COROLLARIVM.
[181.] PROPOSITIO III.
[182.] DE AREA CIRCVLI, INVENTIONE-que circumferentiæ ex diametro, & diametri ex circumfetentia. Capvt VII.
[184.] II.
[185.] III.
[186.] IIII.
[187.] PROPOSITIO I.
[188.] PROPOSITIO II.
[189.] PROPOSITIO III.
[190.] I. EX diametro aream circuli vera maiorem inueſtigare.
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162132GEOMETR. PRACT. tur, inueſtigetur perproblema 6. vel 7. tam altitudo AF, quam B F, proutſcili-
cet duæ ſtationes fiunt aut in plano, aut in aliqua haſta erecta.
Vtraque tamen
93[Figure 93] altitudo A F, BF, facilius inuenietur per ſcholium problem.
7. ſi in E, bis qua-
dratum accommodetur, vtin eo ſcholio factum eſt.
Vtraque altitudine inuen-
ta, altitudo montis BF, dempta ex tota altitudine AF, notam relinquet opta-
tam altitudinem A B.
SCHOLIVM.
Itaqve ſi AB, portio ſuperior totius alicuius altitudinis AF, deſideretur,
11Suprema me-
dia atque in-
fima pars alti-
tudinis quo
pacto metien-
da ſit.
indaganda erit per problem.
6. vel 7. aut potius per ſcholium probl. 7. tam tota
altitudo AF, quàm eius portio BF.
Earum enim differentia notam dabitſupe-
riorem portionem A B, deſideratam.
Si autem media aliqua portio IB, cognoſcenda ſit, coniicienda rurſum erit
per problema 6.
vel 7. aut potius per ſcholium problem. 7. vtraque altitudo
IF, BF, vt earum differentia IB, nota reddatur.
Si denique infima pars B F, proponatur inquirenda, exploranda ea erit per
problema quoque 6.
vel 7. aut potius per ſcholium problem. 7.
DISTANTIAM accliuem montis à loco menſoris vſque ad baſem
altitudinis monti impoſitæ, etiam non viſam, vna cum ipſa altitudine
quando menſor in aſcenſu montis conſiſtit, propè verum, beneficio
quadrati efficere cognitam.
PROBLEMA XXVI.
1. Sit turris AB, monti impoſita, in cuius aſcenſu, ſeu latere menſor conſi-
ſtat in C, ex quo loco baſem turris videre nõ poſsit.
Erigatur haſta aliqua C G,
ad Horizontem, non autem ad latus montis, perpendicularis, ſitque men-
ſoris ſtatura C E.
Cogitetur ducta EK, ad altitudinem perpendicularis,

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