Christiani Hugenii ...Theoremata De Quadratura Hyperboles, Ellipsis Et Circuli, Ex Dato Portionum Gravitatis Centro (1651) - Page 16

A decorative headpiece features a central grotesque mask flanked by scrolling foliage and small figures.

CHRISTIAAN HUYGENS, SON OF CONSTANTINE

THEOREMS

ON THE

QUADRATURE

OF THE HYPERBOLA, ELLIPSE

AND CIRCLE,

FROM THE GIVEN

CENTER OF GRAVITY OF THE PORTIONS.

THEOREM I.

A decorative drop cap 'P' features floral motifs.Around a portion of a hyperbola, or a portion of an ellipse or circle (not greater than a semi-ellipse or a semicircle), there may be circumscribed a figure consisting of parallelograms having equal width, which exceeds the portion by a space that is less than any given space.