[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.

[81.] PROP. XIII. THEOREMA.

[82.] PROP. XIV. THEOREMA.

[83.] PROP. XV. THEOREMA.

[84.] PROP. XVI. THEOREMA.

[85.] PROP. XVII. THEOREMA.

[86.] PROP. XVIII. THEOREMA.

[87.] PROP. XIX. THEOREMA.

[88.] CONSECTARIUM.

[89.] PROP. XX. THEOREMA.

[90.] PROP. XXI. THEOREMA.