Geometry of Indivisibles (Geometria Indivisibilibus Continuorum)

On the Author of this Book.

Look, the wise CAVALIERI puts forth new daring attempts
Where the hand of Archimedes fell short:
Indeed, he brings the geometric arts out of the shadows,
By which you may measure the sea, and measure the earth.
Admiring the outstanding glory of the MAN, Art stands amazed; then
She says, "Will you then surpass my own riches?"

On the Book of Geometry.

While you turn over new diagrams, CAVALIERI, and
Bring back the first trophies of the Geometric art;
Bologna original: "Felsina," the ancient name for the city of Bologna where Cavalieri was a professor. applauds you with worthy praise. That genius which she
Admires, she carries to the stars with her voice.
Henceforth, let the monuments of Archimedes be silent; look,
He lives again who surpasses the deeds of the old man of Syracuse Archimedes of Syracuse was the most famous mathematician of antiquity. Comparing a contemporary to him was the highest possible praise..

To the Author of the Book.

You rightly reveal the true proofs of Geometry,
Which shone less brightly among the men of old.
The new diagrams of that art are surely sufficient,
From which you also receive new glory in the world.
While you describe the measured space of the earth, from there
You reach the highest thresholds of the immense Heavens original: "Poli," referring to the celestial pole or the sky..

To the Book of Geometry.

Reader, if you desire to know the best diagrams,
Perceive the firm laws of this geometric book.
You will learn to measure the nourishing spaces of the sea and the soil,
And the wondrous methods of the skill of genius.
Bologna original: "Felsina" applauds exultantly. Proud of such a great triumph,
She stirs up joys that will never perish.