Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of Notes
<
1 - 2
[out of range]
>
[Note]
Page: 71
[Note]
Page: 71
[Note]
Page: 72
[Note]
Page: 72
[Note]
Page: 73
[Note]
Page: 73
[Note]
Page: 74
[Note]
Page: 74
[Note]
Page: 74
[Note]
Page: 75
[Note]
Page: 76
[Note]
Page: 76
[Note]
Page: 77
[Note]
Page: 78
[Note]
Page: 82
[Note]
Page: 82
[Note]
Page: 84
[Note]
Page: 85
[Note]
Page: 86
[Note]
Page: 87
[Note]
Page: 88
[Note]
Page: 88
[Note]
Page: 88
[Note]
Page: 88
[Note]
Page: 91
[Note]
Page: 91
[Note]
Page: 95
[Note]
Page: 95
[Note]
Page: 96
[Note]
Page: 96
<
1 - 2
[out of range]
>
page
|<
<
(452)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div210
"
type
="
section
"
level
="
1
"
n
="
102
">
<
pb
o
="
452
"
file
="
0172
"
n
="
182
"
rhead
="
VERA CIRCULI
"/>
<
p
>
<
s
xml:id
="
echoid-s3811
"
xml:space
="
preserve
">Poteſtigitur abſque periculo erroris ſumi ſequens numerus
<
lb
/>
pro hyperbolæ ſectore, cujus numeri multiplices uſque ad
<
lb
/>
decem, diviſionis facilitandæ gratia in compoſitione logorith-
<
lb
/>
morum, hic ſubjicimus; </
s
>
<
s
xml:id
="
echoid-s3812
"
xml:space
="
preserve
">in magnis namque diviſionibus præ-
<
lb
/>
ſtat uti repetita diviſoris multiplicium ſubſtractione quam or-
<
lb
/>
dinaria diviſione, ut conſtat expertis arithmeticis.</
s
>
<
s
xml:id
="
echoid-s3813
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3814
"
xml:space
="
preserve
">Manifeſtum eſt hoc
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0172-01
"
xlink:href
="
note-0172-01a
"
xml:space
="
preserve
">
<
lb
/>
1 # 23025850929940456240178700
<
lb
/>
2 # 46051701859880912480357400
<
lb
/>
3 # 69077552789821368720536100
<
lb
/>
4 # 92103403719761824960714800
<
lb
/>
5 # 115129254649702281200893500
<
lb
/>
6 # 138155105579642737441072200
<
lb
/>
7 # 161180956509583193681250900
<
lb
/>
8 # 184206807439523649921429600
<
lb
/>
9 # 207232658369464106161608300
<
lb
/>
10 # 230258509299404562401787000
<
lb
/>
</
note
>
problema eodem
<
lb
/>
ferè modo poſſe reſol-
<
lb
/>
vi, etiamſi aſymptota
<
lb
/>
A O, A K, non ſint
<
lb
/>
conſtiruta ad angulum
<
lb
/>
rectum: </
s
>
<
s
xml:id
="
echoid-s3815
"
xml:space
="
preserve
">nos autem ita
<
lb
/>
fuppoſuimus, ut faci-
<
lb
/>
lior & </
s
>
<
s
xml:id
="
echoid-s3816
"
xml:space
="
preserve
">paratior eſſet
<
lb
/>
problematis uſus in doctrina logorithmica, quam primò
<
lb
/>
invenit nobiliſſimus noſter Neperus, & </
s
>
<
s
xml:id
="
echoid-s3817
"
xml:space
="
preserve
">quam nos (ni fal-
<
lb
/>
lor) ad ſummum perfectionis faſtigium nunc elevamus.</
s
>
<
s
xml:id
="
echoid-s3818
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div213
"
type
="
section
"
level
="
1
"
n
="
103
">
<
head
xml:id
="
echoid-head142
"
xml:space
="
preserve
">PROP. XXXIII. PROBLEMA.</
head
>
<
head
xml:id
="
echoid-head143
"
style
="
it
"
xml:space
="
preserve
">Propoſiti cujuscunque numeri logorithmum invenire.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3819
"
xml:space
="
preserve
">Eiſdem poſitis quæ in antecedente, manifeſtum eſt, poſita
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0172-02
"
xlink:href
="
note-0172-02a
"
xml:space
="
preserve
">TAB. XLIV.
<
lb
/>
fig. 1.</
note
>
I K unitate, M L eſſe decem: </
s
>
<
s
xml:id
="
echoid-s3820
"
xml:space
="
preserve
">poſita ergo I K unitate ſit
<
lb
/>
G H aſymptoto quoque A O parallela numerus propoſitus
<
lb
/>
cujus deſideratur logorithmus@ manifeſtum eſt ex data rectà
<
lb
/>
G H dari K F, & </
s
>
<
s
xml:id
="
echoid-s3821
"
xml:space
="
preserve
">ex præcedenti dari etiam ſpatium hyper-
<
lb
/>
bolicum G I K H, quod ſpatium hyperbolicum dico eſſe lo-
<
lb
/>
gorithmum numeri propoſiti G H, poſito ſpatio hyperbo-
<
lb
/>
lico L I K M logorithmo numeri denarii: </
s
>
<
s
xml:id
="
echoid-s3822
"
xml:space
="
preserve
">eſt enim (ex Gre-
<
lb
/>
gorio à S. </
s
>
<
s
xml:id
="
echoid-s3823
"
xml:space
="
preserve
">Vincentio) ſpatium G H K I in eadem ratione ad
<
lb
/>
ſpatium L M K I, in qua ratio G H ad I K eſt multiplicata
<
lb
/>
rationis L M ad I K; </
s
>
<
s
xml:id
="
echoid-s3824
"
xml:space
="
preserve
">ſed ratio G H ad I K eſt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>