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

Table of figures

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[Figure 31]
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[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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[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
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[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
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[52] Fig. 5.A E N F B L D M C G H I K O
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[Figure 53]
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[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
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[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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85370CHRISTIANI HUGENII
Vel potius ſex ſe midiameſtris addatur {1/5} dicti lateris qua-
drati inſcripti ut habeatur recta æqualis peripheriæ toti.
Problbma III. Prop. XII.
Dato arcui cuicunque rectam æqualem
ſumere.
Eſto datus circumferentiæ arcus C D, primum quadrante mi-
11TAB. XXXIX.
Fig. 3. nor, cui rectam æqualem ſumere oporteat. Dividatur ar-
cus C D bifariam in E, ſitque ſubtenſæ C D æqualis recta F G.
Duabus vero C E, E D, quæ ſubtendunt arcus dimidios,
æqualis F H. Et ipſi F H jungatur H I triens exceſſus G H.
Erit tota F I arcui C D æqualis ferè: adeo ut unâ ſui particulâ,
qualium 1200 continet, aucta, major futura ſit, etiamſi arcus
C D quadranti æqualis detur. In minoribus autem arcubus
minor erit differentia. Nam ſi fuerit datus non major peri-
pheriæ ſextante, linea inventa minus quam {1/6000} ſui parte à ve-
ra arcus longitudine deficiet. Et minores quidem eſſe arcu-
bus rectas eo modo inventas conſtat ex Theoremate 7. huj.
De quantitate autem differentiæ eſt oſtendendum.
Primum itaque ponendo arcum C D quadranti peripheriæ
æqualem, erit C D recta, hoc eſt, F G, latus quadrati
circulo inſcripti, & minor proinde quam partium 141422,
qualium radius circuli 100000. C E autem vel E D latus in-
ſcripti octogoni, ideoque major quam 76536. Eſt autem du-
plæ E D æqualis F H. Ergo hæc major quam 153072. Qua-
re exceſſus G H major quam 11650: Et hujus triens H I
major quam 3883. Ideoque tota F I major quam 156955.
Arcus autem C D cum quadranti æqualis ponitur, minor eſt
quam 157080. Itaque minus ab hoc diſcrepat recta F I quam
partibus 125, qualium ipſa eſt 156955. Quæ utique minus
efficiunt quam {1/1200} ipſius F I.
Si vero ſextans peripheriæ ſit arcus C D, erit recta C D,
hoc eſt, F G, latus hexagoni inſcripti, ideoque partium
10000, & C E vel E D latus dodecagoni, ac proinde

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