[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.

[71.] PROP. VI. THEOREMATA.

[72.] SCHOLIUM.

[73.] PROP. VII. PROBLEMA. Oportet prædictæ ſeriei terminationem invenire.

[74.] PROP. VIII. PROBLEMA.

[75.] PROP. IX. PROBLEMA.

[76.] PROP. X. PROBLEMA.

[77.] CONSECTARIUM.

[78.] PROP. XI. THEOREMA.

[79.] SCHOLIUM.

[80.] PROP. XII. THEOREMA.