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

Table of figures

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[11] Fig. 7.E S D P B
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[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
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[18] Fig. 1.B L F A D C H E
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[19] Fig. 3.B E A D C
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[20] Fig. 4.Q B H A F C E G R D K
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[21] Fig. 5.B E D A C G F
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[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
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[24] Fig. 3.γ A F D X B P N V E Q C
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[25] Fig. 2.K C Δ R Θ Z O Γ D I
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[26] Fig. 4.A B D C Π Φ N E S P F
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[27] Fig. 2.M E Ψ Λ Φ S Ξ Π Ρ Σ Ω F L
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[28] Fig. 5.K B Δ E Z A C R O D Θ Γ I
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[Figure 29]
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[Figure 30]
Page: 65
[Figure 31]
Page: 69
[32] Pag. 366.TAB.XXXVIII.Fig. 1.B E F G A D C
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[33] Fig. 2.E F G B A C
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[34] Fig. 3.B E D C A F
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[35] Fig. 4.D G E F I B K M N H L A C
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[36] Fig. 5.HD A B C
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[37] Fig. 6.E D C B F G A
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[38] Fig. 8.D E G B A F C
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[39] Fig. 7.N G H I KE L M A P C O F B D
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[40] Pag. 376.TAB. XXXIXFig. 1.E K C B A L H G D F
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page |< < (377) of 568 > >|
95377DE CIRCULI MAGNIT. INVENTA.
Hoc Theorema alterum eſt ex iis quibus Cyclometria
Willebrordi Snellii tota innititur, quæque demonſtraſſe ipſe
videri voluit, argumentatione uſus quæ meram quæſiti pe-
titionem continet. Sed & alterum ſubjungemus, quod utile
eſt imprimis & contemplatione digniſſimum.
Theor. XIII. Prop. XVI.
SI diametro circuli ſemidiameter in directum adji-
ciatur, & ab adjectæ termino recta ducatur quæ
circulum ſecet, occurr atque tangenti circulum ad ter-
minum diametri oppoſitum: Intercipiet eapartem tan-
gentis arcu adjacente abſciſſo minorem.
Eſto circulus, cujus diameter A B; quæ producatur, &
11TAB. XL.
Fig. 1. ſit A C ſemidiametro æqualis. Et ducatur recta C L,
quæ circumferentiam ſecundò ſecet in E; occurratque tan-
genti in L, ei nimirum quæ circulum contingit in termino
diametri B. Dico interceptam B L arcu B E minorem eſſe.
Jungantur enim A E, E B, poſitâque A H ipſi A E æqua-
li ducatur H E & producatur, occurratque tangenti in K.
Denique ſit E G diametro A B ad angulos rectos, E D ve-
ro tangenti B L. Quoniam igitur iſoſceles eſt triangulus
H A E, erunt anguli inter ſe æquales H & H E A. Quia
autem angulus A E B rectus eſt, etiam recto æquales erunt
duo ſimul H E A, K E B. Verùm duo quoque iſti H &
H K B uni recto æquantur, quoniam in triangulo H K B
rectus eſt angulus B. Ergo demptis utrimque æqualibus,
hinc nimirum angulo H, inde angulo H E A, relinquen-
tur inter ſe æquales anguli K E B, H K B. Triangulus
igitur iſoſceles eſt K B E, ejuſque latera æqualia E B, B K.
Eſt autem B D æqualis E G. Ergo D K differentia eſt quâ
B E excedit E G. Porro quoniam eſt A G ad A E, ut A E
ad A B, erunt duæ ſimul A G, A B majores duplâ A E . 2225.5. Elem. Ideoque A E, hoc eſt, A H minor quam dimidia

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