Clavius, Christoph
,
Geometria practica
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
>
1
2
3
4
5
6
7
8
9
10
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
>
page
|<
<
(99)
of 450
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div244
"
type
="
section
"
level
="
1
"
n
="
107
">
<
p
>
<
s
xml:id
="
echoid-s3828
"
xml:space
="
preserve
">
<
pb
o
="
99
"
file
="
129
"
n
="
129
"
rhead
="
LIBER TERTIVS.
"/>
ta
<
unsure
/>
A E. </
s
>
<
s
xml:id
="
echoid-s3829
"
xml:space
="
preserve
">Erigatur quadratum ad Horizontem ad rectos angulos, circumduca-
<
lb
/>
turque, donec per eius planum oculus in A, conſtitutus ſignum E, perſpiciat,
<
lb
/>
<
figure
xlink:label
="
fig-129-01
"
xlink:href
="
fig-129-01a
"
number
="
56
">
<
image
file
="
129-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/129-01
"/>
</
figure
>
atque linea notetur AG. </
s
>
<
s
xml:id
="
echoid-s3830
"
xml:space
="
preserve
">Demiſſo deinde Qua-
<
lb
/>
dratovſquead Horizontis planum, ita vt latus
<
lb
/>
A B, recta tendat ad ſignum E, hoc eſt, à recta
<
lb
/>
notata A G, non recedat, protendatur linea re-
<
lb
/>
cta per latus A D, in qua accipiantur quotcun-
<
lb
/>
que partes lateri A D, æquales: </
s
>
<
s
xml:id
="
echoid-s3831
"
xml:space
="
preserve
">vel quotcun-
<
lb
/>
quealiæ menſuræ æquales, vt paſſus, vel cubiti,
<
lb
/>
vſque ad punctum a, in quo rurſus erigatur qua-
<
lb
/>
dratum, (In hoc ſecundo quadrato aſſcripſi-
<
lb
/>
mus Iiteras minuſculas, ne literæ vnius quadra-
<
lb
/>
ti cum literis alterius confundantur, quod in
<
lb
/>
ſequentibus etiam obſeruabimus.) </
s
>
<
s
xml:id
="
echoid-s3832
"
xml:space
="
preserve
">vertatur-
<
lb
/>
que, donec per eius planum idem ſignum E, ap-
<
lb
/>
pareat per rectam a H. </
s
>
<
s
xml:id
="
echoid-s3833
"
xml:space
="
preserve
">Poſt hæc quadratum
<
lb
/>
Horizonti incumbat, latuſque a d, rectæ A a
<
lb
/>
congruat, & </
s
>
<
s
xml:id
="
echoid-s3834
"
xml:space
="
preserve
">dioptra circumducatur, donec
<
lb
/>
eius linea fiduciæ rectæ a H, præcisè ſit ſuppoſita, notenturque partes milleſi-
<
lb
/>
mæin portione vmbræ verſæ b F, quam diligentiſsimè. </
s
>
<
s
xml:id
="
echoid-s3835
"
xml:space
="
preserve
">Abſcindetur autem ſem-
<
lb
/>
per vmbra verſa, propterea quod diſtantia AE, proponitur magna, ſaltem ma-
<
lb
/>
ior, quam A a: </
s
>
<
s
xml:id
="
echoid-s3836
"
xml:space
="
preserve
">alio quin menſurari poſſet ſine quadrato, quemadmodum & </
s
>
<
s
xml:id
="
echoid-s3837
"
xml:space
="
preserve
">
<
lb
/>
A a. </
s
>
<
s
xml:id
="
echoid-s3838
"
xml:space
="
preserve
">Quibus peractis, erunt triangula a b F, a A E, æquiangula, cum angulos
<
lb
/>
<
note
symbol
="
a
"
position
="
right
"
xlink:label
="
note-129-01
"
xlink:href
="
note-129-01a
"
xml:space
="
preserve
">29. primi.</
note
>
habeant rectos b, A, & </
s
>
<
s
xml:id
="
echoid-s3839
"
xml:space
="
preserve
">alternos æquales b a F, A E a. </
s
>
<
s
xml:id
="
echoid-s3840
"
xml:space
="
preserve
"> Si ergo fiat,</
s
>
</
p
>
<
note
symbol
="
b
"
position
="
right
"
xml:space
="
preserve
">4. ſexti.</
note
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Vt vmbra b F, # ad lat{us} b a, 1000, # Ita a A, nota # ad A E, diſtantiam,
<
lb
/>
</
note
>
<
p
>
<
s
xml:id
="
echoid-s3841
"
xml:space
="
preserve
">inuenietur diſtantia A E, in partibus rectæ A a. </
s
>
<
s
xml:id
="
echoid-s3842
"
xml:space
="
preserve
">Vel ſi diuidatur latus b a, 1000.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3843
"
xml:space
="
preserve
">per partes milleſimas vmbræ B F, procreabitur numerus, ſecundum quem re-
<
lb
/>
cta A a, in diſtantia eadem A E, continetur: </
s
>
<
s
xml:id
="
echoid-s3844
"
xml:space
="
preserve
">poſita nimirum recta A a, vt 1. </
s
>
<
s
xml:id
="
echoid-s3845
"
xml:space
="
preserve
">vt
<
lb
/>
Num. </
s
>
<
s
xml:id
="
echoid-s3846
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s3847
"
xml:space
="
preserve
">oſtendimus.</
s
>
<
s
xml:id
="
echoid-s3848
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3849
"
xml:space
="
preserve
">6. </
s
>
<
s
xml:id
="
echoid-s3850
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Qvod</
emph
>
ſi ad manum non habeamus Quadratum, obtinebimus eandem
<
lb
/>
diſtantiam beneficio baculi, vel arundinis hoc artificio. </
s
>
<
s
xml:id
="
echoid-s3851
"
xml:space
="
preserve
">Figatur baculus, vel
<
lb
/>
arundo in G, ad rectos angulos plano Horizontis, quod per filum aliquod cum
<
lb
/>
perpendiculo facile fiet. </
s
>
<
s
xml:id
="
echoid-s3852
"
xml:space
="
preserve
">Deinderecede per quotlibet paſlus vſque ad A, ita vt
<
lb
/>
viſus per baculum incedens feratur in ſignũ E. </
s
>
<
s
xml:id
="
echoid-s3853
"
xml:space
="
preserve
">Poſt hæc ducatur linea A a, ad
<
lb
/>
AE, perpẽdicularis, in qua numera quotlibet etiam paſſus vſq; </
s
>
<
s
xml:id
="
echoid-s3854
"
xml:space
="
preserve
">ad a. </
s
>
<
s
xml:id
="
echoid-s3855
"
xml:space
="
preserve
">Ducta tan-
<
lb
/>
dem GI, ad A E, quoque perpendiculari, & </
s
>
<
s
xml:id
="
echoid-s3856
"
xml:space
="
preserve
">ipſi A a, æquali, figatur rurſum ba-
<
lb
/>
culus ad angulos rectos in tali puncto rectæ GI, nimirumin H, vt oculus iterum
<
lb
/>
ex a, per baculum in cedens feratur in ſignum E: </
s
>
<
s
xml:id
="
echoid-s3857
"
xml:space
="
preserve
">inquiranturque exquiſitiſsi-
<
lb
/>
me paſſus vna cum fragmentis vnius paſſus in H I, contenti. </
s
>
<
s
xml:id
="
echoid-s3858
"
xml:space
="
preserve
">His enim pera-
<
lb
/>
ctis, quo niam rurſus triangula H I a, a A E, æquiangula ſunt, ob angulos re-
<
lb
/>
ctos I, A, & </
s
>
<
s
xml:id
="
echoid-s3859
"
xml:space
="
preserve
">alternos æquales I a H, A E a, ſi fiat,</
s
>
</
p
>
<
note
symbol
="
c
"
position
="
right
"
xml:space
="
preserve
">4. ſexti.</
note
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Vt H I, nota # ad I a, notam # Ita a A, nota # ad A E, diſtantiam ′
<
lb
/>
</
note
>
<
p
>
<
s
xml:id
="
echoid-s3860
"
xml:space
="
preserve
">effi cietur nota diſtantia A E, in partibus rectarum G A, A a, a I. </
s
>
<
s
xml:id
="
echoid-s3861
"
xml:space
="
preserve
">Vel ſi diuidatur
<
lb
/>
a I, nota per IH, notam, reperiemus, quoties Aa, in diſtantia AE, contineatur, ſi
<
lb
/>
nimirum recta A a, ponatur vt 1.</
s
>
<
s
xml:id
="
echoid-s3862
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>