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

Table of figures

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[41] Fig. 2.D B G H C E F
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[42] Fig. 4.E C G A F B D
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[43] Fig. 3.E C D F G H I
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[44] Fig. 5.B F R C P L M O
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[45] Fig. 6.Y S H E K B C G F R A L D N P M Z X V T
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[46] Fig. 7.G F D M L E A K C B H
Page: 93
[47] Pag. 386.TAB. XL.Fig. 2.K B H F G E A I D L C
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[48] Fig. 1.L K E D H C A G B
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[49] Fig. 3.B Q N L M F G S H K A D C P
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[50] Fig. 4.B G R A C D E H F
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[51] Fig. 6.A C D M B
Page: 106
[52] Fig. 5.A E N F B L D M C G H I K O
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[Figure 53]
Page: 108
[Figure 54]
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[55] Pag. 398.TAB. XLI.Fig. 1.S T B R K H Q C N O M A E L D
Page: 121
[56] Fig. 2.D E F B G H C A
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[57] Fig. 3.F D E G A B C
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[58] Fig. 4.G N B H D K A E C F
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[59] Fig. 8K A F c C E B h H G D d
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[60] Fig. 6.C E D A F B R Q
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[61] Fig. 5.G L B H D O A E C K
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[62] Fig. 7.K F A C D B E H G
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[63] Pag. 404.TAB. XLII.Fig. 1.K F M A C D B L E N G
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[64] Fig. 3.G R D B H F E N A X C M P Q K
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[65] Fig. 2.K A F c S C L E B T G D R d
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[66] Fig. 4.K e G P E m B D f R F S H M C A N L Q n
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[67] Fig. 5.B C R E G A F M Q D O
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[68] Fig. 6.B C H G E A M Q P K D
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[69] Fig. 7.B C E G A M P Q K H D
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[Figure 70]
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97379DE CIRCULI MAGNIT. INVENTA. oſtendendum eſt primò centrum gravitatis portionis A B di-
ſtare à vertice B ultra punctum E; nam, quod in diametro
ſitum ſit, alibi oſtendimus. Ducatur per E recta baſi paral-
lela, quæ utrimque circumferentiæ occurrat in punctis F &
G. Per quæ ducantur K I, H L baſi A C ad angulos re-
ctos, atque hæ cum ea, quæ portionem in vertice contingit,
conſtituant rectangulum K L. Quoniam igitur portio ſemi-
circulo minor eſt, conſtat rectanguli dicti dimidium F L con-
tineri intra ſegmentum A F G C, atque inſuper ſpatia quæ-
dam A F I, L G C. Alterum vero rectanguli K L ſemiſſem
K G complecti ſegmentum F B G unà cum ſpatiis F B K,
B G H. Quæ ſpatia quum ſint tota ſupra rectam F G, et-
iam centrum commune gravitatis eorum ſupra eandem ſitum
erit. Eſt autem E punctum in ipſa F G centrum grav. to-
tius rectanguli K L. Igitur ſpatii reliqui B F I L G B cen-
trum grav. erit infra rectam F G. Sed & ſpatiorum A F I,
L G C commune gravitatis centrum eſt infra eandem F G.
Ergo magnitudinis ex ſpatiis hiſce & dicto ſpatio B F I L G B
compoſitæ, quæ eſt portio ipſa A B C, centrum gravitatis
infra lineam F G reperiri neceſſe eſt, ideoque infra E pun-
ctum.
Eadem verò diameter B D ſecetur nunc in S, ita ut B S
11TAB. XL.
Fig. 3. ſit ſeſquialtera reliquæ S D. Dico centrum grav. portionis
A B C minus diſtare à vertice B quam punctum S. Sit enim
B D P totius circuli diameter. & ducatur per S recta baſi
parallela quæ circumferentiæ occurrat in F & G. Et parabo-
le intelligatur cujus vertex B, axis B D, rectum vero latus
æquale S P. Et occurat baſi portionis in H & K. Quoniam
igitur quadratum F S æquale eſt rectangulo B S P, hoc eſt,
ei quod ſub B S & latere recto parabolæ continetur, tranſibit
ea per F punctum, itemque per G. Partes autem lineæ pa-
rabolicæ B F, B G intra circumferentiam cadent, ſed reli-
quæ F H, G K erunt exteriores. Hoc enim oſtenditur du-
ctâ inter B & S ordinatim applicatâ N L, quæ circumfe-
rentiæ occurrat in N, parabolæ autem in M. Nam quia qua-
dratum N L æquale eſt rectangulo B L P, quadratum

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