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

Table of figures

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[91] Pag. 506.TAB. XLV.Fig. 1.C F D B
[92] Fig. 2.C B A E F
[93] Fig. 3.B b F f H c
[94] Fig. 4.C D B A E F G H
[95] Fig. 5.C b d D B E F G f g e
[96] Fig. 6.B G A C D
[Figure 97]
[Figure 98]
[Figure 99]
[Figure 100]
[Figure 101]
[Figure 102]
[103] Pag. 520.TAB. XLVI.Fig. 1.D C E A X F K V O I L T α M N
[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 @
[105] Fig. 5.C B A D E
[106] Fig. 4.H C L E B A D F K G
[107] Fig. 6.L G C F M A H B E I D K
[108] Fig. 2.G C H B A Y L X P K V Q I O S R F D E N
[Figure 109]
[Figure 110]
[Figure 111]
[Figure 112]
[113] Pag. 542.Fig. 1.♃
[114] Fig. 2.♃
[115] Fig. 3.♂
[116] Fig. 5.25 Mart. 1655. * a b *
[117] Fig. 7.26 Mart. * a b *
[118] Fig. 4.
[119] Fig. 6.
[120] Pag. 550.TAB. XLV III.Fig. 1.* a * b 27. Mart. 1655.
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page |< < (507) of 568 > >|
243507 97[Figure 97]
IV.
CHRISTIANI HUGENII
EPISTOLA
DE
CURVIS QUIBUSDAM PECULIARIBUS.
MItto tibi conſtructionem Problematis, quod ſine
dubio Geometris placebit, ſi id cum ipſis com-
municare velis, cum pulcherrimum ſit, &
ſingula-
ria quædam contineat:
accepi hoc a Marchione
de l’Hoſpital, quem ex ſpecimine hoc &
variis aliis, in-
ter ſummos noſtri ævi Geometras referendum puto.
Hac
etiam occaſione ad te mitto quaſdam ex poſterioribus, ſuper
rebus fere ſimilibus, contemplationibus noſtris.
Problema March. eſt; Invenire lineam rectam æqualem
datæ portioni lineæ logarithmicæ.
Ut hujus inveniat ſolu-
tionem, ſagaciter utitur Calculo differentiali celeberrimi Lei-
bnitii, &
reducit problema ad quadraturam curvæ, cujus æ-
quatio eſt, a6 = aaxxyy + y4xx;
poſitis x & y indeter
minatis, quæ angulum rectum efficiunt;
Hanc quadra-
turam oſtendit dependere à quadraturâ Hyperboles;
quæ da-
tur, ut notum eſt, poſitâ logarithmicâ deſcriptâ;
conſtru-
ctio autem huc redit.
Sit logarithmica indefinita A C D, a-
11TAB. XLVI.
fig. 1.
ſymptos L O, ſubtangens conſtans data a, &
portio curvæ
ſit C D, cui æqualem rectam invenire oportet.
Duc D L, C O perpendiculares ad aſymptoton, CE perpen-
dicularem ad D L, &
fac L T in aſymptoto æqualem ſubtan-
genti a, &
ductis rectis T D, T E, fiat T V = T D & T

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