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

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[41.] Theor. XII. Prop. XV.
[42.] Theor. XIII. Prop. XVI.
[43.] Theorema XIV. Propos. XVII.
[44.] Theor. XV. Propos. XVIII.
[45.] Theor. XVI. Propos. XIX.
[46.] Problema IV. Propos. XX.
[47.] Christiani Hugenii C. F. ILLVSTRIVM QVORVNDAM PROBLEMATVM CONSTRVCTIONES. Probl. I. Datam ſphæram plano ſecare, ut portiones inter ſe rationem habeant datam.
[48.] LEMMA.
[49.] Probl. II. Cubum invenire dati cubi duplum.
[50.] Probl. III. Datis duabus rectis duas medias propor-tionales invenire.
[51.] ALITER.
[52.] ALITER.
[53.] Probl. IV.
[54.] Probl. V.
[55.] Probl. VI.
[56.] Probl. VII.
[57.] Utrumque præcedentium Aliter.
[58.] Probl. VIII. In Conchoide linea invenire confinia flexus contrarii.
[59.] FINIS.
[60.] DE CIRCULI ET HYPERBOLÆ QUADRATURA CONTROVERSIA.
[61.] VERA CIRCULI ET HYPERBOLÆ QUADRATURA AUTHORE JACOBO GREGORIO. LECTORI GEOMETRÆ SALUTEM.
[62.] DEFINITIONES.
[63.] PETITIONES.
[64.] VERA CIRCULI ET HYPERBOLÆ QUADRATURA.
[65.] PROP. I. THEOREMA. Dico trapezium B A P I eſſe medium propor-tionale inter trapezium B A P F, & triangulum B A P.
[66.] PROP. II. THEOREMA. Dico trapezia A B F P, A B I P ſimul, eſſe ad du- plum trapezii A B I P, ſicut trapezium A B F P ad polygonum A B D L P.
[67.] PROP. III. THEOREMA. Dico triangulum B A P, & trapezium A B I P ſimul, eſſe ad trapezium A B I P, ut duplum trapezii A B I P ad polygonum A B D L P.
[68.] PROP. IV. THEOREMA. Dico polygonum A B E I O P eſſe medium pro- portionale inter polygonum A B D L P & trapezium A B I P.
[69.] PROP. V. THEOREMA.
[70.] SCHOLIUM.
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13063[Figure 63]Pag. 404.
TAB. XLII.
Fig. 1.
K F M A C D B L E N G
64[Figure 64]Fig. 3.G R D B H F E N A X C M P Q K65[Figure 65]Fig. 2.K A F c S C L E B T G D R d66[Figure 66]Fig. 4.K e G P E m B D f R F S H M C A N L Q n67[Figure 67]Fig. 5.B C R E G A F M Q D O68[Figure 68]Fig. 6.B C H G E A M Q P K D69[Figure 69]Fig. 7.B C E G A M P Q K H D

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