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

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3[Figure 3]

CHRISTIANI HUGENII,
Const. F.

THEOREMATA
DE

QUADRATURA

HYPERBOLES, ELLIPSIS,
ET CIRCULI,
EX DATO

PORTIONUM GRAVITATIS CENTRO

Theorema I.

POrtioni hyperboles, vel ellipſis vel
circuli portioni, dimidiâ ellipſi di-
midiove circulo non majori, circum-
ſcribi poteſt figura ex parallelo-
grammis æqualem latitudinem ha-
bentibus, quæ portionem excedat ſpatio quod minus
ſit quovis dato.

DAta ſit portio A B C, cujus diameter B D.
11TAB. XXXIV.
Fig. 1. Super baſin A C conſtituatur parallelogrammum
A E, latera duo habens diametro B D parallela
& æqualia, quo fiet ut latus reliquum portionem
in vertice contingat. Hoc parallelogrammo con-
tinuè in duo æqualia ſecto, relinquetur tandem pars

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