Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

Page concordance

< >
Scan Original
181 451
182 452
183 453
184 454
185 455
186 456
187 457
188 458
189 459
190 460
191 461
192 462
193 463
194 464
195 465
196 466
197 467
198 468
199 469
200 470
201 471
202 472
203 473
204 474
205 475
206 476
207 477
208 478
209 479
210 480
< >
page |< < (452) of 568 > >|
182452VERA CIRCULI
Poteſtigitur abſque periculo erroris ſumi ſequens numerus
pro hyperbolæ ſectore, cujus numeri multiplices uſque ad
decem, diviſionis facilitandæ gratia in compoſitione logorith-
morum, hic ſubjicimus;
in magnis namque diviſionibus præ-
ſtat uti repetita diviſoris multiplicium ſubſtractione quam or-
dinaria diviſione, ut conſtat expertis arithmeticis.
Manifeſtum eſt hoc
11
1 # 23025850929940456240178700
2 # 46051701859880912480357400
3 # 69077552789821368720536100
4 # 92103403719761824960714800
5 # 115129254649702281200893500
6 # 138155105579642737441072200
7 # 161180956509583193681250900
8 # 184206807439523649921429600
9 # 207232658369464106161608300
10 # 230258509299404562401787000
problema eodem
ferè modo poſſe reſol-
vi, etiamſi aſymptota
A O, A K, non ſint
conſtiruta ad angulum
rectum:
nos autem ita
fuppoſuimus, ut faci-
lior &
paratior eſſet
problematis uſus in doctrina logorithmica, quam primò
invenit nobiliſſimus noſter Neperus, &
quam nos (ni fal-
lor) ad ſummum perfectionis faſtigium nunc elevamus.
PROP. XXXIII. PROBLEMA.
Propoſiti cujuscunque numeri logorithmum invenire.
Eiſdem poſitis quæ in antecedente, manifeſtum eſt, poſita
22TAB. XLIV.
fig. 1.
I K unitate, M L eſſe decem:
poſita ergo I K unitate ſit
G H aſymptoto quoque A O parallela numerus propoſitus
cujus deſideratur logorithmus@ manifeſtum eſt ex data rectà
G H dari K F, &
ex præcedenti dari etiam ſpatium hyper-
bolicum G I K H, quod ſpatium hyperbolicum dico eſſe lo-
gorithmum numeri propoſiti G H, poſito ſpatio hyperbo-
lico L I K M logorithmo numeri denarii:
eſt enim (ex Gre-
gorio à S.
Vincentio) ſpatium G H K I in eadem ratione ad
ſpatium L M K I, in qua ratio G H ad I K eſt multiplicata
rationis L M ad I K;
ſed ratio G H ad I K eſt

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index