63
CHRISTIANI HUGENII,
Const. F.
DE
CIRCULI
MAGNITUDINE
INVENTA.
Const. F.
DE
CIRCULI
MAGNITUDINE
INVENTA.
ACCEDUNT EJUSDEM
Problematum quorundam illuſtrium
Conſtructiones.
Conſtructiones.
[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.
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