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

Table of figures

< >
[11] Fig. 7.E S D P B
Page: 26
[12] Pag. 326.TAB. XXXV.Fig. 1.N H T Z Ψ G K X S Σ Α E Ξ Y F O L B Δ R P V C Q Ω D M
Page: 31
[13] Fig. 5.B L A C D F M G K E H
Page: 31
[14] Fig. 4.B L A C D F M G K H E
Page: 31
[15] Fig. 2.B Δ P R V C Q Ω D A L F O Y Ξ Α Σ X S G K Ψ Z T H E N M
Page: 31
[16] Fig. 3.B Δ P R V A D Ω Q C L F O Y Ξ Α Σ X S G K E Ψ Z T H E N M
Page: 31
[17] Pag. 328.Fig. 2.B L F A D C H E
Page: 36
[18] Fig. 1.B L F A D C H E
Page: 36
[19] Fig. 3.B E A D C
Page: 36
[20] Fig. 4.Q B H A F C E G R D K
Page: 36
[21] Fig. 5.B E D A C G F
Page: 36
[Figure 22]
Page: 49
[23] Pag. 340.TAB. XXXVII.Fig. 1.C G H F E DH A X Q Y T N V B G
Page: 51
[24] Fig. 3.γ A F D X B P N V E Q C
Page: 51
[25] Fig. 2.K C Δ R Θ Z O Γ D I
Page: 51
[26] Fig. 4.A B D C Π Φ N E S P F
Page: 51
[27] Fig. 2.M E Ψ Λ Φ S Ξ Π Ρ Σ Ω F L
Page: 51
[28] Fig. 5.K B Δ E Z A C R O D Θ Γ I
Page: 51
[Figure 29]
Page: 55
[Figure 30]
Page: 65
[Figure 31]
Page: 69
[32] Pag. 366.TAB.XXXVIII.Fig. 1.B E F G A D C
Page: 80
[33] Fig. 2.E F G B A C
Page: 80
[34] Fig. 3.B E D C A F
Page: 80
[35] Fig. 4.D G E F I B K M N H L A C
Page: 80
[36] Fig. 5.HD A B C
Page: 80
[37] Fig. 6.E D C B F G A
Page: 80
[38] Fig. 8.D E G B A F C
Page: 80
[39] Fig. 7.N G H I KE L M A P C O F B D
Page: 80
[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
Page: 93
< >
page |< < of 568 > >|
69 31[Figure 31]
CHRISTIANI HUGENII,
Const. f.
DE
CIRCULI MAGNITUDINE
INVENTA.
Theorema I. Propositio I.
SI Circuli portioni, ſemicirculo minori, trian-
gulum maximum inſcribatur, & portioni-
bus reliquis triangula ſimiliter inſcribantur,
erit triangulum primo deſcriptum duorum ſimul
quæ in portionibus reliquis deſcripta ſunt minus
quam quadruplum.
Eſto circuli portio A B C, ſemicirculo minor, cujus diameter
11TAB. XXXVI@
Fig. 1. B D; maximum autem inſcriptum ſit triangulum A B C,
hoc eſt, quod baſin & altitudinem habeat cum portione eandem.
Et reliquis duabus portionibus inſcribantur triangula item ma-
xima A E B, B F C. Dico triangulum A B C minus eſſe quam
quadruplum triangulorum A E B, B F C ſimul ſumpto-
rum. Jungatur enim E F, quæ ſecet diametrum portionis
in puncto G. Quoniam igitur arcus A B bifariam dividitur
in E puncto, erit utraque harum E A, E B, major dimi-
diâ A B. Quamobrem quadratum A B minus erit quam qua-
druplum quadrati E B vel E A. Sicut autem quadratum A B
ad quadr. E B, ita eſt D B ad B G longitudine; quia qua-
dratum quidem A B æquale eſt rectangulo quod à D B &
circuli totius diametro continetur, quadratum vero E B æ-
quale rectangulo ſub eadem diametro & recta B G. Minor
igitur eſt B D quam quadrupla B G. Sed & A C minor
eſt quam dupla E F, quoniam hæc ipſi A B æquatur. Er-
go patet triangulum A B C minus eſſe quam octuplum

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


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