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

Table of figures

< >
[91] Pag. 506.TAB. XLV.Fig. 1.C F D B
Page: 241
[92] Fig. 2.C B A E F
Page: 241
[93] Fig. 3.B b F f H c
Page: 241
[94] Fig. 4.C D B A E F G H
Page: 241
[95] Fig. 5.C b d D B E F G f g e
Page: 241
[96] Fig. 6.B G A C D
Page: 241
[Figure 97]
Page: 243
[Figure 98]
Page: 250
[Figure 99]
Page: 251
[Figure 100]
Page: 252
[Figure 101]
Page: 254
[Figure 102]
Page: 256
[103] Pag. 520.TAB. XLVI.Fig. 1.D C E A X F K V O I L T α M N
Page: 258
[104] Fig. 3.Δ A Φ G F N E M I D H L B C K O P Q Σ R T V X Y Z S Γ Δ Θ @
Page: 258
[105] Fig. 5.C B A D E
Page: 258
[106] Fig. 4.H C L E B A D F K G
Page: 258
[107] Fig. 6.L G C F M A H B E I D K
Page: 258
[108] Fig. 2.G C H B A Y L X P K V Q I O S R F D E N
Page: 258
[Figure 109]
Page: 264
[Figure 110]
Page: 267
[Figure 111]
Page: 270
[Figure 112]
Page: 276
[113] Pag. 542.Fig. 1.♃
Page: 285
[114] Fig. 2.♃
Page: 285
[115] Fig. 3.♂
Page: 285
[116] Fig. 5.25 Mart. 1655. * a b *
Page: 285
[117] Fig. 7.26 Mart. * a b *
Page: 285
[118] Fig. 4.
Page: 285
[119] Fig. 6.
Page: 285
[120] Pag. 550.TAB. XLV III.Fig. 1.* a * b 27. Mart. 1655.
Page: 296
< >
page |< < (444) of 568 > >|
171444VERA CIRCULI ut ſemper quilibet terminus unius ſeriei ſit major quam idem
numero terminus alterius ſeriei; ſed in talibus ſeriebus quò
longius producuntur, eò minor eſt eorundem numero termi-
norum differentia: ſed è contra noſtræ ſeries quò longius
producuntur, eò magis differunt iidem numero termini, ſicut
facillimè demonſtrari poteſt.
Experientia obſervo differentiam inter ſecundam duarum
mediarum arithmetice proportionalium & ſecundam duarum
mediarum geometricè proportionalium ſemper eſſe multò
majorem differentia inter ſecundam duarum mediarum geo-
metricè proportionalium & ſectorem circuli, ellipſeos vel
hyperbolæ; quod notatu dignum exiſtimo, hinc enim col-
ligitur ſectorem differre vix ultra unitatem à ſecunda duarum
mediarum arithmeticè continuè proportionalium, quando
medium arithmeticum non excedit medium geometricum ul-
tra unitatem, quod ſummopere notandum, nam ex hoc evi-
dens eſt approximationem audacter eſſe adhibendam, quan-
do ita continuatur ſeries ut medietas prima notarum ſit
eadem in utroque termino convergente, quod experientia
etiam evincit; nunquam enim in hoc caſu differt ſector
unitate à ſecunda duarum mediarum arithmeticè continuè
proportionalium.
Eſt etiam alia approximatio omnium breviſſima & maximè
admiranda, etiamſi mihi non contingat illam demonſtratio-
ne geometrica munire; nempe ſi primus notarum triens in
utroque termino convergente ſit eadem, ſector circuli, el-
lipſeos vel hyperbolæ ſemper differt infra unitatem à maxi-
mo quatuor arithmeticè continuè proportionalium inter ter-
minos noſtræ approximationis.
PROP. XXVI. THEOREMA.
Sit hyperbola quæcunque C F N cujus centrum A, aſym-
11TAB. XLIII.
fig. 4. ptota A B, A O; ſitque ejus ſector A F G L cum triangulo
circum ſcripto A F L: aſymptotorum uni A B parallellæ du-
cantur rectæ F D, I M; & compleantur

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index
Impressum